Tempo ramps -update audio-locked meter bbt correctly, a bit more explanation.
[ardour.git] / libs / ardour / tempo.cc
index 1715aadf061760c174ff6067cba156118cf8f594..45c26b8c361015ce657e607bf5f23a8e25f55f13 100644 (file)
 #include <unistd.h>
 
 #include <glibmm/threads.h>
+
+#include "pbd/enumwriter.h"
 #include "pbd/xml++.h"
 #include "evoral/Beats.hpp"
+
 #include "ardour/debug.h"
 #include "ardour/lmath.h"
 #include "ardour/tempo.h"
@@ -65,35 +68,51 @@ Meter::frames_per_bar (const Tempo& tempo, framecnt_t sr) const
        return frames_per_grid (tempo, sr) * _divisions_per_bar;
 }
 
-
 /***********************************************************************/
 
 const string TempoSection::xml_state_node_name = "Tempo";
 
 TempoSection::TempoSection (const XMLNode& node)
-       : MetricSection (0.0), Tempo (TempoMap::default_tempo())
+       : MetricSection (0.0)
+       , Tempo (TempoMap::default_tempo())
+       , _c_func (0.0)
+       , _active (true)
 {
        const XMLProperty *prop;
-       BBT_Time start;
        LocaleGuard lg;
-
-       if ((prop = node.property ("start")) == 0) {
-               error << _("MeterSection XML node has no \"start\" property") << endmsg;
-               throw failed_constructor();
+       BBT_Time bbt;
+       double pulse;
+       uint32_t frame;
+
+       if ((prop = node.property ("start")) != 0) {
+               if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
+                           &bbt.bars,
+                           &bbt.beats,
+                           &bbt.ticks) == 3) {
+                       /* legacy session - start used to be in bbt*/
+                       _legacy_bbt = bbt;
+                       pulse = -1.0;
+                       set_pulse (pulse);
+               }
+       } else {
+               warning << _("TempoSection XML node has no \"start\" property") << endmsg;
        }
 
-       if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
-                   &bbt.bars,
-                   &bbt.beats,
-                   &bbt.ticks) == 3) {
-               /* legacy session - start used to be in bbt*/
-               _legacy_bbt = bbt;
-               start = -1.0;
-       } else if (sscanf (prop->value().c_str(), "%lf", &start) != 1 || start < 0.0) {
-               error << _("TempoSection XML node has an illegal \"start\" value") << endmsg;
-       }
 
-       set_start (start);
+       if ((prop = node.property ("pulse")) != 0) {
+               if (sscanf (prop->value().c_str(), "%lf", &pulse) != 1 || pulse < 0.0) {
+                       error << _("TempoSection XML node has an illegal \"beat\" value") << endmsg;
+               } else {
+                       set_pulse (pulse);
+               }
+       }
+       if ((prop = node.property ("frame")) != 0) {
+               if (sscanf (prop->value().c_str(), "%" PRIu32, &frame) != 1) {
+                       error << _("TempoSection XML node has an illegal \"frame\" value") << endmsg;
+               } else {
+                       set_frame (frame);
+               }
+       }
 
        if ((prop = node.property ("beats-per-minute")) == 0) {
                error << _("TempoSection XML node has no \"beats-per-minute\" property") << endmsg;
@@ -122,23 +141,23 @@ TempoSection::TempoSection (const XMLNode& node)
 
        set_movable (string_is_affirmative (prop->value()));
 
-       if ((prop = node.property ("bar-offset")) == 0) {
-               _bar_offset = -1.0;
+       if ((prop = node.property ("active")) == 0) {
+               warning << _("TempoSection XML node has no \"active\" property") << endmsg;
+               set_active(true);
        } else {
-               if (sscanf (prop->value().c_str(), "%lf", &_bar_offset) != 1 || _bar_offset < 0.0) {
-                       error << _("TempoSection XML node has an illegal \"bar-offset\" value") << endmsg;
-                       throw failed_constructor();
-               }
+               set_active (string_is_affirmative (prop->value()));
        }
 
        if ((prop = node.property ("tempo-type")) == 0) {
-               _type = Type::Constant;
+               _type = Constant;
        } else {
-               if (strstr(prop->value().c_str(),"Constant")) {
-                       _type = Type::Constant;
-               } else {
-                       _type = Type::Ramp;
-               }
+               _type = Type (string_2_enum (prop->value(), _type));
+       }
+
+       if ((prop = node.property ("lock-style")) == 0) {
+               set_position_lock_style (MusicTime);
+       } else {
+               set_position_lock_style (PositionLockStyle (string_2_enum (prop->value(), position_lock_style())));
        }
 }
 
@@ -149,201 +168,266 @@ TempoSection::get_state() const
        char buf[256];
        LocaleGuard lg;
 
-       snprintf (buf, sizeof (buf), "%f", beat());
-       root->add_property ("start", buf);
+       snprintf (buf, sizeof (buf), "%f", pulse());
+       root->add_property ("pulse", buf);
+       snprintf (buf, sizeof (buf), "%li", frame());
+       root->add_property ("frame", buf);
        snprintf (buf, sizeof (buf), "%f", _beats_per_minute);
        root->add_property ("beats-per-minute", buf);
        snprintf (buf, sizeof (buf), "%f", _note_type);
        root->add_property ("note-type", buf);
-       // snprintf (buf, sizeof (buf), "%f", _bar_offset);
-       // root->add_property ("bar-offset", buf);
        snprintf (buf, sizeof (buf), "%s", movable()?"yes":"no");
        root->add_property ("movable", buf);
-
-       snprintf (buf, sizeof (buf), "%s", _type == Constant?"Constant":"Ramp");
-       root->add_property ("tempo-type", buf);
+       snprintf (buf, sizeof (buf), "%s", active()?"yes":"no");
+       root->add_property ("active", buf);
+       root->add_property ("tempo-type", enum_2_string (_type));
+       root->add_property ("lock-style", enum_2_string (position_lock_style()));
 
        return *root;
 }
 
-void
-
-TempoSection::update_bar_offset_from_bbt (const Meter& m)
-{
-       _bar_offset = (start() * BBT_Time::ticks_per_beat) /
-               (m.divisions_per_bar() * BBT_Time::ticks_per_beat);
-
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Tempo set bar offset to %1 from %2 w/%3\n", _bar_offset, start(), m.divisions_per_bar()));
-}
-
 void
 TempoSection::set_type (Type type)
 {
        _type = type;
 }
 
-/** returns the tempo at the zero-based (relative to tempo section) frame.
+/** returns the tempo in whole pulses per minute at the zero-based (relative to session) frame.
 */
 double
-TempoSection::tempo_at_frame (framepos_t frame, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+TempoSection::tempo_at_frame (const framepos_t& f, const framecnt_t& frame_rate) const
 {
 
        if (_type == Constant) {
-               return beats_per_minute();
+               return pulses_per_minute();
        }
 
-       return tick_tempo_at_time (frame_to_minute (frame, frame_rate), end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate)) / BBT_Time::ticks_per_beat;
+       return pulse_tempo_at_time (frame_to_minute (f - frame(), frame_rate));
 }
 
-/** returns the zero-based frame (relative to tempo section)
-   where the tempo occurs.
+/** returns the zero-based frame (relative to session)
+   where the tempo in whole pulses per minute occurs in this section.
+   beat b is only used for constant tempos.
+   note that the tempo map may have multiple such values.
 */
 framepos_t
-TempoSection::frame_at_tempo (double tempo, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+TempoSection::frame_at_tempo (const double& ppm, const double& b, const framecnt_t& frame_rate) const
 {
        if (_type == Constant) {
-               return 0;
+               return ((b - pulse())  * frames_per_pulse (frame_rate))  + frame();
        }
 
-       return minute_to_frame (time_at_tick_tempo (tempo *  BBT_Time::ticks_per_beat,  end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate)), frame_rate);
+       return minute_to_frame (time_at_pulse_tempo (ppm), frame_rate) + frame();
 }
-
-/** returns the zero-based tick (relative to tempo section)
-   where the zero-based frame (relative to tempo section)
-   lies.
+/** returns the tempo in pulses per minute at the zero-based (relative to session) beat.
 */
 double
-TempoSection::tick_at_frame (framepos_t frame, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+TempoSection::tempo_at_pulse (const double& p) const
 {
+
        if (_type == Constant) {
-               return (frame / frames_per_beat (frame_rate)) * BBT_Time::ticks_per_beat;
+               return pulses_per_minute();
        }
-
-       return tick_at_time (frame_to_minute (frame, frame_rate), end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate));
+       double const ppm = pulse_tempo_at_pulse (p - pulse());
+       return ppm;
 }
 
-/** returns the zero-based frame (relative to tempo section)
-   where the zero-based tick (relative to tempo section)
-   falls.
+/** returns the zero-based beat (relative to session)
+   where the tempo in whole pulses per minute occurs given frame f. frame f is only used for constant tempos.
+   note that the session tempo map may have multiple beats at a given tempo.
 */
-framepos_t
-TempoSection::frame_at_tick (double tick, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+double
+TempoSection::pulse_at_tempo (const double& ppm, const framepos_t& f, const framecnt_t& frame_rate) const
 {
        if (_type == Constant) {
-               return (framepos_t) floor ((tick  / BBT_Time::ticks_per_beat) * frames_per_beat (frame_rate));
+               double const beats = ((f - frame()) / frames_per_pulse (frame_rate)) + pulse();
+               return  beats;
        }
 
-       return minute_to_frame (time_at_tick (tick, end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate)), frame_rate);
+       return pulse_at_pulse_tempo (ppm) + pulse();
 }
 
-/** returns the zero-based beat (relative to tempo section)
-   where the zero-based frame (relative to tempo section)
+/** returns the zero-based pulse (relative to session origin)
+   where the zero-based frame (relative to session)
    lies.
 */
 double
-TempoSection::beat_at_frame (framepos_t frame, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+TempoSection::pulse_at_frame (const framepos_t& f, const framecnt_t& frame_rate) const
 {
-       return tick_at_frame (frame, end_bpm, end_frame, frame_rate) / BBT_Time::ticks_per_beat;
+       if (_type == Constant) {
+               return ((f - frame()) / frames_per_pulse (frame_rate)) + pulse();
+       }
+
+       return pulse_at_time (frame_to_minute (f - frame(), frame_rate)) + pulse();
 }
 
-/** returns the zero-based frame (relative to tempo section start frame)
-   where the zero-based beat (relative to tempo section start)
+/** returns the zero-based frame (relative to session start frame)
+   where the zero-based pulse (relative to session start)
    falls.
 */
 
 framepos_t
-TempoSection::frame_at_beat (double beat, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+TempoSection::frame_at_pulse (const double& p, const framecnt_t& frame_rate) const
+{
+       if (_type == Constant) {
+               return (framepos_t) floor ((p - pulse()) * frames_per_pulse (frame_rate)) + frame();
+       }
+
+       return minute_to_frame (time_at_pulse (p - pulse()), frame_rate) + frame();
+}
+
+/*
+Ramp Overview
+
+      |                     *
+Tempo |                   *
+Tt----|-----------------*|
+Ta----|--------------|*  |
+      |            * |   |
+      |         *    |   |
+      |     *        |   |
+T0----|*             |   |
+  *   |              |   |
+      _______________|___|____
+      time           a   t (next tempo)
+      [        c         ] defines c
+
+Duration in beats at time a is the integral of some Tempo function.
+In our case, the Tempo function (Tempo at time t) is
+T(t) = T0(e^(ct))
+
+with function constant
+c = log(Ta/T0)/a
+so
+a = log(Ta/T0)/c
+
+The integral over t of our Tempo function (the beat function, which is the duration in beats at some time t) is:
+b(t) = T0(e^(ct) - 1) / c
+
+To find the time t at beat duration b, we use the inverse function of the beat function (the time function) which can be shown to be:
+t(b) = log((cb / T0) + 1) / c
+
+The time t at which Tempo T occurs is a as above:
+t(T) = log(T / T0) / c
+
+The beat at which a Tempo T occurs is:
+b(T) = (T - T0) / c
+
+The Tempo at which beat b occurs is:
+T(b) = b.c + T0
+
+We define c for this tempo ramp by placing a new tempo section at some time t after this one.
+Our problem is that we usually don't know t.
+We almost always know the duration in beats between this and the new section, so we need to find c in terms of the beat function.
+Where a = t (i.e. when a is equal to the time of the next tempo section), the beat function reveals:
+t = b log (Ta / T0) / (T0 (e^(log (Ta / T0)) - 1))
+
+By substituting our expanded t as a in the c function above, our problem is reduced to:
+c = T0 (e^(log (Ta / T0)) - 1) / b
+
+We can now store c for future time calculations.
+If the following tempo section (the one that defines c in conjunction with this one)
+is changed or moved, c is no longer valid.
+
+The public methods are session-relative.
+
+Most of this stuff is taken from this paper:
+
+WHERE’S THE BEAT?
+TOOLS FOR DYNAMIC TEMPO CALCULATIONS
+Jan C. Schacher
+Martin Neukom
+Zurich University of Arts
+Institute for Computer Music and Sound Technology
+
+https://www.zhdk.ch/fileadmin/data_subsites/data_icst/Downloads/Timegrid/ICST_Tempopolyphony_ICMC07.pdf
+
+*/
+
+/*
+  compute this ramp's function constant using the end tempo (in whole pulses per minute)
+  and duration (pulses into global start) of some later tempo section.
+*/
+double
+TempoSection::compute_c_func_pulse (const double& end_bpm, const double& end_pulse, const framecnt_t& frame_rate)
 {
-       return frame_at_tick (beat * BBT_Time::ticks_per_beat, end_bpm, end_frame, frame_rate);
+       double const log_tempo_ratio = log (end_bpm / pulses_per_minute());
+       return pulses_per_minute() *  (expm1 (log_tempo_ratio)) / (end_pulse - pulse());
+}
+
+/* compute the function constant from some later tempo section, given tempo (whole pulses/min.) and distance (in frames) from session origin */
+double
+TempoSection::compute_c_func_frame (const double& end_bpm, const framepos_t& end_frame, const framecnt_t& frame_rate) const
+{
+       return c_func (end_bpm, frame_to_minute (end_frame - frame(), frame_rate));
 }
 
 framecnt_t
-TempoSection::minute_to_frame (double time, framecnt_t frame_rate) const
+TempoSection::minute_to_frame (const double& time, const framecnt_t& frame_rate) const
 {
-       return time * 60.0 * frame_rate;
+       return (framecnt_t) floor ((time * 60.0 * frame_rate) + 0.5);
 }
 
 double
-TempoSection::frame_to_minute (framecnt_t frame, framecnt_t frame_rate) const
+TempoSection::frame_to_minute (const framecnt_t& frame, const framecnt_t& frame_rate) const
 {
        return (frame / (double) frame_rate) / 60.0;
 }
 
 /* position function */
 double
-TempoSection::a_func (double end_tpm, double c_func) const
+TempoSection::a_func (double end_bpm, double c_func) const
 {
-       return log (end_tpm / ticks_per_minute()) /  c_func;
+       return log (end_bpm / pulses_per_minute()) /  c_func;
 }
 
 /*function constant*/
 double
-TempoSection::c_func (double end_tpm, double end_time) const
+TempoSection::c_func (double end_bpm, double end_time) const
 {
-       return log (end_tpm / ticks_per_minute()) /  end_time;
+       return log (end_bpm / pulses_per_minute()) /  end_time;
 }
 
-/* tempo in tpm at time in minutes */
+/* tempo in ppm at time in minutes */
 double
-TempoSection::tick_tempo_at_time (double time, double end_tpm, double end_time) const
+TempoSection::pulse_tempo_at_time (const double& time) const
 {
-       return exp (c_func (end_tpm, end_time) * time) * ticks_per_minute();
+       return exp (_c_func * time) * pulses_per_minute();
 }
 
-/* time in minutes at tempo in tpm */
+/* time in minutes at tempo in ppm */
 double
-TempoSection::time_at_tick_tempo (double tick_tempo, double end_tpm, double end_time) const
+TempoSection::time_at_pulse_tempo (const double& pulse_tempo) const
 {
-       return log (tick_tempo / ticks_per_minute()) / c_func (end_tpm, end_time);
+       return log (pulse_tempo / pulses_per_minute()) / _c_func;
 }
 
-/* tick at time in minutes */
+/* tick at tempo in ppm */
 double
-TempoSection::tick_at_time (double time, double end_tpm, double end_time) const
+TempoSection::pulse_at_pulse_tempo (const double& pulse_tempo) const
 {
-       return ((exp (c_func (end_tpm, end_time) * time)) - 1) * ticks_per_minute() / c_func (end_tpm, end_time);
+       return (pulse_tempo - pulses_per_minute()) / _c_func;
 }
 
-/* time in minutes at tick */
+/* tempo in ppm at tick */
 double
-TempoSection::time_at_tick (double tick, double end_tpm, double end_time) const
+TempoSection::pulse_tempo_at_pulse (const double& pulse) const
 {
-       return log (((c_func (end_tpm, end_time) * tick) / ticks_per_minute()) + 1) / c_func (end_tpm, end_time);
+       return (pulse * _c_func) + pulses_per_minute();
 }
 
-/* beat at time in minutes */
+/* pulse at time in minutes */
 double
-TempoSection::beat_at_time (double time, double end_tpm, double end_time) const
+TempoSection::pulse_at_time (const double& time) const
 {
-       return tick_at_time (time, end_tpm, end_time) / BBT_Time::ticks_per_beat;
+       return expm1 (_c_func * time) * (pulses_per_minute() / _c_func);
 }
 
-/* time in munutes at beat */
+/* time in minutes at pulse */
 double
-TempoSection::time_at_beat (double beat, double end_tpm, double end_time) const
-{
-       return time_at_tick (beat * BBT_Time::ticks_per_beat, end_tpm, end_time);
-}
-
-void
-TempoSection::update_bbt_time_from_bar_offset (const Meter& meter)
+TempoSection::time_at_pulse (const double& pulse) const
 {
-       double new_start;
-
-       if (_bar_offset < 0.0) {
-               /* not set yet */
-               return;
-       }
-
-       new_start = start();
-
-       double ticks = BBT_Time::ticks_per_beat * meter.divisions_per_bar() * _bar_offset;
-       new_start = ticks / BBT_Time::ticks_per_beat;
-
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("from bar offset %1 and dpb %2, ticks = %3->%4 beats = %5\n",
-                                                      _bar_offset, meter.divisions_per_bar(), ticks, new_start, new_start));
-
-       set_start (new_start);
+       return log1p ((_c_func * pulse) / pulses_per_minute()) / _c_func;
 }
 
 /***********************************************************************/
@@ -358,23 +442,38 @@ MeterSection::MeterSection (const XMLNode& node)
        LocaleGuard lg;
        const XMLProperty *prop;
        BBT_Time bbt;
+       double pulse = 0.0;
        double beat = 0.0;
+       framepos_t frame = 0;
        pair<double, BBT_Time> start;
 
-       if ((prop = node.property ("start")) == 0) {
-               error << _("MeterSection XML node has no \"start\" property") << endmsg;
-               throw failed_constructor();
-       }
-       if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
+       if ((prop = node.property ("start")) != 0) {
+               if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
                    &bbt.bars,
                    &bbt.beats,
-                   &bbt.ticks) == 3) {
-               /* legacy session - start used to be in bbt*/
-               beat = -1.0;
-       } else if (sscanf (prop->value().c_str(), "%lf", &beat) != 1 || beat < 0.0) {
-               error << _("MeterSection XML node has an illegal \"start\" value") << endmsg;
-               throw failed_constructor();
+                   &bbt.ticks) < 3) {
+                       error << _("MeterSection XML node has an illegal \"start\" value") << endmsg;
+               } else {
+                       /* legacy session - start used to be in bbt*/
+                       pulse = -1.0;
+               }
+       } else {
+               error << _("MeterSection XML node has no \"start\" property") << endmsg;
        }
+
+       if ((prop = node.property ("pulse")) != 0) {
+               if (sscanf (prop->value().c_str(), "%lf", &pulse) != 1 || pulse < 0.0) {
+                       error << _("MeterSection XML node has an illegal \"pulse\" value") << endmsg;
+               }
+       }
+       set_pulse (pulse);
+
+       if ((prop = node.property ("beat")) != 0) {
+               if (sscanf (prop->value().c_str(), "%lf", &beat) != 1) {
+                       error << _("MeterSection XML node has an illegal \"beat\" vlue") << endmsg;
+               }
+       }
+
        start.first = beat;
 
        if ((prop = node.property ("bbt")) == 0) {
@@ -384,11 +483,19 @@ MeterSection::MeterSection (const XMLNode& node)
                    &bbt.beats,
                    &bbt.ticks) < 3) {
                error << _("MeterSection XML node has an illegal \"bbt\" value") << endmsg;
-               throw failed_constructor();
+               //throw failed_constructor();
        }
+
        start.second = bbt;
+       set_beat (start);
 
-       set_start (start);
+       if ((prop = node.property ("frame")) != 0) {
+               if (sscanf (prop->value().c_str(), "%li", &frame) != 1) {
+                       error << _("MeterSection XML node has an illegal \"frame\" value") << endmsg;
+               } else {
+                       set_frame (frame);
+               }
+       }
 
        /* beats-per-bar is old; divisions-per-bar is new */
 
@@ -398,9 +505,8 @@ MeterSection::MeterSection (const XMLNode& node)
                        throw failed_constructor();
                }
        }
-
        if (sscanf (prop->value().c_str(), "%lf", &_divisions_per_bar) != 1 || _divisions_per_bar < 0.0) {
-               error << _("MeterSection XML node has an illegal \"beats-per-bar\" or \"divisions-per-bar\" value") << endmsg;
+               error << _("MeterSection XML node has an illegal \"divisions-per-bar\" value") << endmsg;
                throw failed_constructor();
        }
 
@@ -408,12 +514,18 @@ MeterSection::MeterSection (const XMLNode& node)
                error << _("MeterSection XML node has no \"note-type\" property") << endmsg;
                throw failed_constructor();
        }
-
        if (sscanf (prop->value().c_str(), "%lf", &_note_type) != 1 || _note_type < 0.0) {
                error << _("MeterSection XML node has an illegal \"note-type\" value") << endmsg;
                throw failed_constructor();
        }
 
+       if ((prop = node.property ("lock-style")) == 0) {
+               warning << _("MeterSection XML node has no \"lock-style\" property") << endmsg;
+               set_position_lock_style (MusicTime);
+       } else {
+               set_position_lock_style (PositionLockStyle (string_2_enum (prop->value(), position_lock_style())));
+       }
+
        if ((prop = node.property ("movable")) == 0) {
                error << _("MeterSection XML node has no \"movable\" property") << endmsg;
                throw failed_constructor();
@@ -429,15 +541,20 @@ MeterSection::get_state() const
        char buf[256];
        LocaleGuard lg;
 
+       snprintf (buf, sizeof (buf), "%lf", pulse());
+       root->add_property ("pulse", buf);
        snprintf (buf, sizeof (buf), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
                  bbt().bars,
                  bbt().beats,
                  bbt().ticks);
        root->add_property ("bbt", buf);
-       snprintf (buf, sizeof (buf), "%f", start());
-       root->add_property ("start", buf);
+       snprintf (buf, sizeof (buf), "%lf", beat());
+       root->add_property ("beat", buf);
        snprintf (buf, sizeof (buf), "%f", _note_type);
        root->add_property ("note-type", buf);
+       snprintf (buf, sizeof (buf), "%li", frame());
+       root->add_property ("frame", buf);
+       root->add_property ("lock-style", enum_2_string (position_lock_style()));
        snprintf (buf, sizeof (buf), "%f", _divisions_per_bar);
        root->add_property ("divisions-per-bar", buf);
        snprintf (buf, sizeof (buf), "%s", movable()?"yes":"no");
@@ -447,10 +564,44 @@ MeterSection::get_state() const
 }
 
 /***********************************************************************/
+/*
+  Tempo Map Overview
+
+  Tempos can be thought of as a source of the musical pulse.
+
+  Note that Tempo::beats_per_minute() has nothing to do with musical beats.
+  It should rather be thought of as tempo note divisions per minute.
+
+  TempoSections, which are nice to think of in whole pulses per minute,
+  and MeterSecions which divide tempo pulses into measures (via divisions_per_bar)
+  and beats (via note_divisor) are used to form a tempo map.
+  TempoSections and MeterSections may be locked to either audio or music (position lock style).
+  We construct the tempo map by first using the frame or pulse position (depending on position lock style) of each tempo.
+  We then use this pulse/frame layout to find the beat & pulse or frame position of each meter (again depending on lock style).
+
+  Having done this, we can now find any one of tempo, beat, frame or pulse if a beat, frame, pulse or tempo is known.
+
+  The first tempo and first meter are special. they must move together, and must be locked to audio.
+  Audio locked tempos which lie before the first meter are made inactive.
+  They will be re-activated if the first meter is again placed before them.
+
+  Both tempos and meters have a pulse position and a frame position.
+  Meters also have a beat position, which is always 0.0 for the first meter.
 
+  A tempo locked to music is locked to musical pulses.
+  A meter locked to music is locked to beats.
+
+  Recomputing the tempo map is the process where the 'missing' position
+  (tempo pulse or meter pulse & beat in the case of AudioTime, frame for MusicTime) is calculated.
+
+  It is important to keep the _metrics in an order that makes sense.
+  Because ramped MusicTime and AudioTime tempos can interact with each other,
+  reordering is frequent. Care must be taken to keep _metrics in a solved state.
+  Solved means ordered by frame or pulse with frame-accurate precision (see check_solved()).
+*/
 struct MetricSectionSorter {
     bool operator() (const MetricSection* a, const MetricSection* b) {
-           return a->start() < b->start();
+           return a->pulse() < b->pulse();
     }
 };
 
@@ -463,22 +614,18 @@ struct MetricSectionFrameSorter {
 TempoMap::TempoMap (framecnt_t fr)
 {
        _frame_rate = fr;
-       BBT_Time start;
+       BBT_Time start (1, 1, 0);
 
-       start.bars = 1;
-       start.beats = 1;
-       start.ticks = 0;
-
-       TempoSection *t = new TempoSection (0.0, _default_tempo.beats_per_minute(), _default_tempo.note_type(), TempoSection::Type::Ramp);
-       MeterSection *m = new MeterSection (0.0, start, _default_meter.divisions_per_bar(), _default_meter.note_divisor());
+       TempoSection *t = new TempoSection (0.0, _default_tempo.beats_per_minute(), _default_tempo.note_type(), TempoSection::Constant);
+       MeterSection *m = new MeterSection (0.0, 0.0, start, _default_meter.divisions_per_bar(), _default_meter.note_divisor());
 
        t->set_movable (false);
        m->set_movable (false);
 
        /* note: frame time is correct (zero) for both of these */
 
-       metrics.push_back (t);
-       metrics.push_back (m);
+       _metrics.push_back (t);
+       _metrics.push_back (m);
 
 }
 
@@ -495,7 +642,7 @@ TempoMap::remove_tempo (const TempoSection& tempo, bool complete_operation)
                Glib::Threads::RWLock::WriterLock lm (lock);
                if ((removed = remove_tempo_locked (tempo))) {
                        if (complete_operation) {
-                               recompute_map (true);
+                               recompute_map (_metrics);
                        }
                }
        }
@@ -510,11 +657,11 @@ TempoMap::remove_tempo_locked (const TempoSection& tempo)
 {
        Metrics::iterator i;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                if (dynamic_cast<TempoSection*> (*i) != 0) {
                        if (tempo.frame() == (*i)->frame()) {
                                if ((*i)->movable()) {
-                                       metrics.erase (i);
+                                       _metrics.erase (i);
                                        return true;
                                }
                        }
@@ -533,7 +680,7 @@ TempoMap::remove_meter (const MeterSection& tempo, bool complete_operation)
                Glib::Threads::RWLock::WriterLock lm (lock);
                if ((removed = remove_meter_locked (tempo))) {
                        if (complete_operation) {
-                               recompute_map (true);
+                               recompute_map (_metrics);
                        }
                }
        }
@@ -548,11 +695,11 @@ TempoMap::remove_meter_locked (const MeterSection& tempo)
 {
        Metrics::iterator i;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                if (dynamic_cast<MeterSection*> (*i) != 0) {
                        if (tempo.frame() == (*i)->frame()) {
                                if ((*i)->movable()) {
-                                       metrics.erase (i);
+                                       _metrics.erase (i);
                                        return true;
                                }
                        }
@@ -566,32 +713,25 @@ void
 TempoMap::do_insert (MetricSection* section)
 {
        bool need_add = true;
-
        /* we only allow new meters to be inserted on beat 1 of an existing
         * measure.
         */
        MeterSection* m = 0;
        if ((m = dynamic_cast<MeterSection*>(section)) != 0) {
-               assert (m->bbt().ticks == 0);
-
-               /* we need to (potentially) update the BBT times of tempo
-                  sections based on this new meter.
-               */
+               //assert (m->bbt().ticks == 0);
 
                if ((m->bbt().beats != 1) || (m->bbt().ticks != 0)) {
 
-                       pair<double, BBT_Time> corrected = make_pair (m->start(), m->bbt());
+                       pair<double, BBT_Time> corrected = make_pair (m->pulse(), m->bbt());
                        corrected.second.beats = 1;
                        corrected.second.ticks = 0;
-
+                       corrected.first = bbt_to_beats_locked (_metrics, corrected.second);
                        warning << string_compose (_("Meter changes can only be positioned on the first beat of a bar. Moving from %1 to %2"),
                                                   m->bbt(), corrected.second) << endmsg;
-                       m->set_start (corrected);
+                       //m->set_pulse (corrected);
                }
        }
 
-
-
        /* Look for any existing MetricSection that is of the same type and
           in the same bar as the new one, and remove it before adding
           the new one. Note that this means that if we find a matching,
@@ -599,16 +739,18 @@ TempoMap::do_insert (MetricSection* section)
           guaranteed that there is only one such match.
        */
 
-       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
 
                TempoSection* const tempo = dynamic_cast<TempoSection*> (*i);
                TempoSection* const insert_tempo = dynamic_cast<TempoSection*> (section);
+               MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
+               MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
 
                if (tempo && insert_tempo) {
 
                        /* Tempo sections */
-
-                       if (tempo->start() == insert_tempo->start()) {
+                       bool const ipm = insert_tempo->position_lock_style() == MusicTime;
+                       if ((ipm && tempo->pulse() == insert_tempo->pulse()) || (!ipm && tempo->frame() == insert_tempo->frame())) {
 
                                if (!tempo->movable()) {
 
@@ -618,19 +760,21 @@ TempoMap::do_insert (MetricSection* section)
                                         */
 
                                        *(dynamic_cast<Tempo*>(*i)) = *(dynamic_cast<Tempo*>(insert_tempo));
+                                       (*i)->set_position_lock_style (AudioTime);
                                        need_add = false;
                                } else {
-                                       metrics.erase (i);
+                                       _metrics.erase (i);
                                }
                                break;
                        }
 
-               } else if (!tempo && !insert_tempo) {
+               } else if (meter && insert_meter) {
 
                        /* Meter Sections */
-                       MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
-                       MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
-                       if (meter->start() == insert_meter->start()) {
+
+                       bool const ipm = insert_meter->position_lock_style() == MusicTime;
+
+                       if ((ipm && meter->pulse() == insert_meter->pulse()) || (!ipm && meter->frame() == insert_meter->frame())) {
 
                                if (!meter->movable()) {
 
@@ -640,9 +784,10 @@ TempoMap::do_insert (MetricSection* section)
                                         */
 
                                        *(dynamic_cast<Meter*>(*i)) = *(dynamic_cast<Meter*>(insert_meter));
+                                       (*i)->set_position_lock_style (insert_meter->position_lock_style());
                                        need_add = false;
                                } else {
-                                       metrics.erase (i);
+                                       _metrics.erase (i);
 
                                }
 
@@ -660,48 +805,51 @@ TempoMap::do_insert (MetricSection* section)
        if (need_add) {
                MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
                TempoSection* const insert_tempo = dynamic_cast<TempoSection*> (section);
-
                Metrics::iterator i;
                if (insert_meter) {
-                       for (i = metrics.begin(); i != metrics.end(); ++i) {
+                       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                                MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
 
-                               if (meter && meter->start() > insert_meter->start()) {
-                                       break;
+                               if (meter) {
+                                       bool const ipm = insert_meter->position_lock_style() == MusicTime;
+                                       if ((ipm && meter->pulse() > insert_meter->pulse()) || (!ipm && meter->frame() > insert_meter->frame())) {
+                                               break;
+                                       }
                                }
                        }
                } else if (insert_tempo) {
-                       for (i = metrics.begin(); i != metrics.end(); ++i) {
+                       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                                TempoSection* const tempo = dynamic_cast<TempoSection*> (*i);
 
                                if (tempo) {
-                                       if (tempo->start() > insert_tempo->start()) {
+                                       bool const ipm = insert_tempo->position_lock_style() == MusicTime;
+                                       if ((ipm && tempo->pulse() > insert_tempo->pulse()) || (!ipm && tempo->frame() > insert_tempo->frame())) {
                                                break;
                                        }
                                }
                        }
                }
 
-               metrics.insert (i, section);
+               _metrics.insert (i, section);
+               //dump (_metrics, std::cerr);
        }
 }
 
 void
-TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const double& where, TempoSection::Type type)
+TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const double& pulse, TempoSection::Type type)
 {
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
                TempoSection& first (first_tempo());
-
-               if (ts.start() != first.start()) {
+               if (ts.pulse() != first.pulse()) {
                        remove_tempo_locked (ts);
-                       add_tempo_locked (tempo, where, true, type);
+                       add_tempo_locked (tempo, pulse, true, type);
                } else {
                        first.set_type (type);
                        {
                                /* cannot move the first tempo section */
                                *static_cast<Tempo*>(&first) = tempo;
-                               recompute_map (false);
+                               recompute_map (_metrics);
                        }
                }
        }
@@ -710,90 +858,46 @@ TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const doubl
 }
 
 void
-TempoMap::gui_set_tempo_frame (TempoSection& ts, framepos_t frame, double  beat_where)
+TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const framepos_t& frame, TempoSection::Type type)
 {
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
-
-               /* currently this is always done in audio time */
-               //if (ts.position_lock_style() == MusicTime) {
-               if (0) {
-                       /* MusicTime */
-                       ts.set_start (beat_where);
-                       MetricSectionSorter cmp;
-                       metrics.sort (cmp);
+               TempoSection& first (first_tempo());
+               if (ts.frame() != first.frame()) {
+                       remove_tempo_locked (ts);
+                       add_tempo_locked (tempo, frame, true, type);
                } else {
-                       /*AudioTime*/
-                       ts.set_frame (frame);
-
-                       MetricSectionFrameSorter fcmp;
-                       metrics.sort (fcmp);
-
-                       Metrics::const_iterator i;
-                       TempoSection* prev_ts = 0;
-                       TempoSection* next_ts = 0;
-
-                       for (i = metrics.begin(); i != metrics.end(); ++i) {
-                               TempoSection* t;
-                               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-
-                                       if (t->frame() >= frame) {
-                                               break;
-                                       }
-
-                                       prev_ts = t;
-                               }
-                       }
-
-                       for (i = metrics.begin(); i != metrics.end(); ++i) {
-                               TempoSection* t;
-                               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-
-                                       if (t->frame() > frame) {
-                                               next_ts = t;
-                                               break;
-                                       }
-                               }
-                       }
-
-                       if (prev_ts) {
-                               /* set the start beat */
-                               double beats_to_ts = prev_ts->beat_at_frame (frame - prev_ts->frame(), ts.beats_per_minute(), frame - prev_ts->frame(), _frame_rate);
-                               double beats = beats_to_ts + prev_ts->start();
-
-                               if (next_ts) {
-                                       if (next_ts->start() < beats) {
-                                               /* with frame-based editing, it is possible to get in a
-                                                  situation where if the tempo was placed at the mouse pointer frame,
-                                                  the following music-based tempo would jump to an earlier frame,
-                                                  changing the start beat of the moved tempo.
-                                                  in this case, we have to do some beat-based comparison TODO
-                                               */
-                                       } else if (prev_ts->start() > beats) {
-                                               ts.set_start (prev_ts->start());
-                                       } else {
-                                               ts.set_start (beats);
-                                       }
-                               } else {
-                                       ts.set_start (beats);
-                               }
-                               MetricSectionSorter cmp;
-                               metrics.sort (cmp);
+                       first.set_type (type);
+                       first.set_pulse (0.0);
+                       first.set_position_lock_style (AudioTime);
+                       {
+                               /* cannot move the first tempo section */
+                               *static_cast<Tempo*>(&first) = tempo;
+                               recompute_map (_metrics);
                        }
                }
+       }
+
+       PropertyChanged (PropertyChange ());
+}
 
-               recompute_map (false);
+void
+TempoMap::add_tempo (const Tempo& tempo, const double& pulse, ARDOUR::TempoSection::Type type)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               add_tempo_locked (tempo, pulse, true, type);
        }
 
-       MetricPositionChanged (); // Emit Signal
+       PropertyChanged (PropertyChange ());
 }
 
 void
-TempoMap::add_tempo (const Tempo& tempo, double where, ARDOUR::TempoSection::Type type)
+TempoMap::add_tempo (const Tempo& tempo, const framepos_t& frame, ARDOUR::TempoSection::Type type)
 {
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
-               add_tempo_locked (tempo, where, true, type);
+               add_tempo_locked (tempo, frame, true, type);
        }
 
 
@@ -801,48 +905,113 @@ TempoMap::add_tempo (const Tempo& tempo, double where, ARDOUR::TempoSection::Typ
 }
 
 void
-TempoMap::add_tempo_locked (const Tempo& tempo, double where, bool recompute, ARDOUR::TempoSection::Type type)
+TempoMap::add_tempo_locked (const Tempo& tempo, double pulse, bool recompute, ARDOUR::TempoSection::Type type)
+{
+       TempoSection* ts = new TempoSection (pulse, tempo.beats_per_minute(), tempo.note_type(), type);
+
+       do_insert (ts);
+
+       if (recompute) {
+               solve_map (_metrics, ts, Tempo (ts->beats_per_minute(), ts->note_type()), ts->pulse());
+       }
+}
+
+void
+TempoMap::add_tempo_locked (const Tempo& tempo, framepos_t frame, bool recompute, ARDOUR::TempoSection::Type type)
 {
-       TempoSection* ts = new TempoSection (where, tempo.beats_per_minute(), tempo.note_type(), type);
+       TempoSection* ts = new TempoSection (frame, tempo.beats_per_minute(), tempo.note_type(), type);
 
        do_insert (ts);
 
        if (recompute) {
-               recompute_map (false);
+               solve_map (_metrics, ts, Tempo (ts->beats_per_minute(), ts->note_type()), ts->frame());
        }
 }
 
 void
-TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const double& start, const BBT_Time& where)
+TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const BBT_Time& where)
 {
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
                MeterSection& first (first_meter());
-               if (ms.start() != first.start()) {
+
+               if (ms.movable()) {
+                       remove_meter_locked (ms);
+                       add_meter_locked (meter, bbt_to_beats_locked (_metrics, where), where, true);
+               } else {
+                       const PositionLockStyle pl = ms.position_lock_style();
+                       /* cannot move the first meter section */
+                       *static_cast<Meter*>(&first) = meter;
+                       first.set_position_lock_style (pl);
+                       recompute_map (_metrics);
+               }
+       }
+
+       PropertyChanged (PropertyChange ());
+}
+
+void
+TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const framepos_t& frame)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+
+               const double beat = ms.beat();
+               const BBT_Time bbt = ms.bbt();
+               if (ms.movable()) {
                        remove_meter_locked (ms);
-                       add_meter_locked (meter, start, where, true);
+                       add_meter_locked (meter, frame, beat, bbt, true);
                } else {
+                       MeterSection& first (first_meter());
+                       TempoSection& first_t (first_tempo());
                        /* cannot move the first meter section */
                        *static_cast<Meter*>(&first) = meter;
-                       recompute_map (true);
+                       first.set_position_lock_style (AudioTime);
+                       first.set_pulse (0.0);
+                       first.set_frame (frame);
+                       pair<double, BBT_Time> beat = make_pair (0.0, BBT_Time (1, 1, 0));
+                       first.set_beat (beat);
+                       first_t.set_frame (first.frame());
+                       first_t.set_pulse (0.0);
+                       first_t.set_position_lock_style (AudioTime);
+
+                       recompute_map (_metrics);
                }
        }
+       PropertyChanged (PropertyChange ());
+}
+
+
+void
+TempoMap::add_meter (const Meter& meter, const double& beat, const BBT_Time& where)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               add_meter_locked (meter, beat, where, true);
+       }
+
+
+#ifndef NDEBUG
+       if (DEBUG_ENABLED(DEBUG::TempoMap)) {
+               dump (_metrics, std::cerr);
+       }
+#endif
 
        PropertyChanged (PropertyChange ());
 }
 
 void
-TempoMap::add_meter (const Meter& meter, double start, BBT_Time where)
+TempoMap::add_meter (const Meter& meter, const framepos_t& frame, const double& beat, const Timecode::BBT_Time& where)
 {
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
-               add_meter_locked (meter, start, where, true);
+               add_meter_locked (meter, frame, beat, where, true);
        }
 
 
 #ifndef NDEBUG
        if (DEBUG_ENABLED(DEBUG::TempoMap)) {
-               dump (std::cerr);
+               dump (_metrics, std::cerr);
        }
 #endif
 
@@ -850,7 +1019,7 @@ TempoMap::add_meter (const Meter& meter, double start, BBT_Time where)
 }
 
 void
-TempoMap::add_meter_locked (const Meter& meter, double start, BBT_Time where, bool recompute)
+TempoMap::add_meter_locked (const Meter& meter, double beat, BBT_Time where, bool recompute)
 {
        /* a new meter always starts a new bar on the first beat. so
           round the start time appropriately. remember that
@@ -863,58 +1032,296 @@ TempoMap::add_meter_locked (const Meter& meter, double start, BBT_Time where, bo
                where.beats = 1;
                where.bars++;
        }
-
        /* new meters *always* start on a beat. */
        where.ticks = 0;
+       double pulse = pulse_at_beat_locked (_metrics, beat);
 
-       do_insert (new MeterSection (start, where, meter.divisions_per_bar(), meter.note_divisor()));
+       MeterSection* new_meter = new MeterSection (pulse, beat, where, meter.divisions_per_bar(), meter.note_divisor());
+       do_insert (new_meter);
 
        if (recompute) {
-               recompute_map (true);
+               solve_map (_metrics, new_meter, Meter (meter.divisions_per_bar(), meter.note_divisor()), pulse);
        }
 
 }
 
 void
-TempoMap::change_initial_tempo (double beats_per_minute, double note_type)
+TempoMap::add_meter_locked (const Meter& meter, framepos_t frame, double beat, Timecode::BBT_Time where, bool recompute)
 {
-       Tempo newtempo (beats_per_minute, note_type);
-       TempoSection* t;
 
-       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
-               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-                       {
-                               Glib::Threads::RWLock::WriterLock lm (lock);
-                               *((Tempo*) t) = newtempo;
-                               recompute_map (false);
-                       }
-                       PropertyChanged (PropertyChange ());
-                       break;
-               }
+       MeterSection* new_meter = new MeterSection (frame, beat, where, meter.divisions_per_bar(), meter.note_divisor());
+
+       double pulse = pulse_at_frame_locked (_metrics, frame);
+       new_meter->set_pulse (pulse);
+
+       do_insert (new_meter);
+
+       if (recompute) {
+               solve_map (_metrics, new_meter, Meter (new_meter->divisions_per_bar(), new_meter->note_divisor()), frame);
        }
+
 }
 
-void
-TempoMap::change_existing_tempo_at (framepos_t where, double beats_per_minute, double note_type)
+/**
+* This is for a gui that needs to know the frame of a tempo section if it were to be moved to some bbt time,
+* taking any possible reordering as a consequence of this into account.
+* @param section - the section to be altered
+* @param bpm - the new Tempo
+* @param bbt - the bbt where the altered tempo will fall
+* @return returns - the position in frames where the new tempo section will lie.
+*/
+framepos_t
+TempoMap::predict_tempo_frame (TempoSection* section, const Tempo& bpm, const BBT_Time& bbt)
 {
-       Tempo newtempo (beats_per_minute, note_type);
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       Metrics future_map;
+       framepos_t ret = 0;
+       TempoSection* new_section = copy_metrics_and_point (future_map, section);
 
-       TempoSection* prev;
-       TempoSection* first;
-       Metrics::iterator i;
+       double const beat = bbt_to_beats_locked (future_map, bbt);
+       if (solve_map (future_map, new_section, bpm, pulse_at_beat_locked (future_map, beat))) {
+               ret = new_section->frame();
+       } else {
+               ret = frame_at_beat_locked (_metrics, beat);
+       }
 
-       /* find the TempoSection immediately preceding "where"
-        */
+       Metrics::const_iterator d = future_map.begin();
+       while (d != future_map.end()) {
+               delete (*d);
+               ++d;
+       }
+       return ret;
+}
 
-       for (first = 0, i = metrics.begin(), prev = 0; i != metrics.end(); ++i) {
+double
+TempoMap::predict_tempo_pulse (TempoSection* section, const Tempo& bpm, const framepos_t& frame)
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       Metrics future_map;
+       double ret = 0.0;
+       TempoSection* new_section = copy_metrics_and_point (future_map, section);
 
-               if ((*i)->frame() > where) {
+       if (solve_map (future_map, new_section, bpm, frame)) {
+               ret = new_section->pulse();
+       } else {
+               ret = pulse_at_frame_locked (_metrics, frame);
+       }
+
+       Metrics::const_iterator d = future_map.begin();
+       while (d != future_map.end()) {
+               delete (*d);
+               ++d;
+       }
+       return ret;
+}
+
+void
+TempoMap::gui_move_tempo_frame (TempoSection* ts,  const Tempo& bpm, const framepos_t& frame)
+{
+       Metrics future_map;
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               TempoSection* new_section = copy_metrics_and_point (future_map, ts);
+               if (solve_map (future_map, new_section, bpm, frame)) {
+                       solve_map (_metrics, ts, bpm, frame);
+               }
+       }
+
+       Metrics::const_iterator d = future_map.begin();
+       while (d != future_map.end()) {
+               delete (*d);
+               ++d;
+       }
+
+       MetricPositionChanged (); // Emit Signal
+}
+
+void
+TempoMap::gui_move_tempo_beat (TempoSection* ts,  const Tempo& bpm, const double& beat)
+{
+       Metrics future_map;
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               TempoSection* new_section = copy_metrics_and_point (future_map, ts);
+               if (solve_map (future_map, new_section, bpm, pulse_at_beat_locked (future_map, beat))) {
+                       solve_map (_metrics, ts, bpm, pulse_at_beat_locked (_metrics, beat));
+               }
+       }
+
+       Metrics::const_iterator d = future_map.begin();
+       while (d != future_map.end()) {
+               delete (*d);
+               ++d;
+       }
+
+       MetricPositionChanged (); // Emit Signal
+}
+
+void
+TempoMap::gui_move_meter (MeterSection* ms, const Meter& mt, const framepos_t&  frame)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               solve_map (_metrics, ms, mt, frame);
+       }
+
+       MetricPositionChanged (); // Emit Signal
+}
+
+void
+TempoMap::gui_move_meter (MeterSection* ms, const Meter& mt, const double&  beat)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               solve_map (_metrics, ms, mt, pulse_at_beat_locked (_metrics, beat));
+       }
+
+       MetricPositionChanged (); // Emit Signal
+}
+
+bool
+TempoMap::gui_change_tempo (TempoSection* ts,  const Tempo& bpm)
+{
+       Metrics future_map;
+       bool can_solve = false;
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               TempoSection* new_section = copy_metrics_and_point (future_map, ts);
+               new_section->set_beats_per_minute (bpm.beats_per_minute());
+               recompute_tempos (future_map);
+
+               if (check_solved (future_map, true)) {
+                       ts->set_beats_per_minute (bpm.beats_per_minute());
+                       recompute_map (_metrics);
+                       can_solve = true;
+               }
+       }
+
+       Metrics::const_iterator d = future_map.begin();
+       while (d != future_map.end()) {
+               delete (*d);
+               ++d;
+       }
+       if (can_solve) {
+               MetricPositionChanged (); // Emit Signal
+       }
+       return can_solve;
+}
+
+TempoSection*
+TempoMap::copy_metrics_and_point (Metrics& copy, TempoSection* section)
+{
+       TempoSection* t;
+       TempoSection* ret = 0;
+       MeterSection* m;
+
+       for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (t == section) {
+                               if (t->position_lock_style() == MusicTime) {
+                                       ret = new TempoSection (t->pulse(), t->beats_per_minute(), t->note_type(), t->type());
+                               } else {
+                                       ret = new TempoSection (t->frame(), t->beats_per_minute(), t->note_type(), t->type());
+                               }
+                               ret->set_active (t->active());
+                               ret->set_movable (t->movable());
+                               copy.push_back (ret);
+                               continue;
+                       }
+                       TempoSection* cp = 0;
+                       if (t->position_lock_style() == MusicTime) {
+                               cp = new TempoSection (t->pulse(), t->beats_per_minute(), t->note_type(), t->type());
+                       } else {
+                               cp = new TempoSection (t->frame(), t->beats_per_minute(), t->note_type(), t->type());
+                       }
+                       cp->set_active (t->active());
+                       cp->set_movable (t->movable());
+                       copy.push_back (cp);
+               }
+               if ((m = dynamic_cast<MeterSection *> (*i)) != 0) {
+                       MeterSection* cp = 0;
+                       if (m->position_lock_style() == MusicTime) {
+                               cp = new MeterSection (m->pulse(), m->beat(), m->bbt(), m->divisions_per_bar(), m->note_divisor());
+                       } else {
+                               cp = new MeterSection (m->frame(), m->beat(), m->bbt(), m->divisions_per_bar(), m->note_divisor());
+                       }
+                       cp->set_movable (m->movable());
+                       copy.push_back (cp);
+               }
+       }
+       //recompute_map (copy);
+       return ret;
+}
+
+bool
+TempoMap::can_solve_bbt (TempoSection* ts,  const Tempo& bpm, const BBT_Time& bbt)
+{
+       Metrics copy;
+       TempoSection* new_section = 0;
+
+       {
+               Glib::Threads::RWLock::ReaderLock lm (lock);
+               new_section = copy_metrics_and_point (copy, ts);
+       }
+
+       double const beat = bbt_to_beats_locked (copy, bbt);
+       bool ret = solve_map (copy, new_section, bpm, pulse_at_beat_locked (copy, beat));
+
+       Metrics::const_iterator d = copy.begin();
+       while (d != copy.end()) {
+               delete (*d);
+               ++d;
+       }
+
+       return ret;
+}
+
+void
+TempoMap::change_initial_tempo (double beats_per_minute, double note_type)
+{
+       Tempo newtempo (beats_per_minute, note_type);
+       TempoSection* t;
+
+       for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       {
+                               Glib::Threads::RWLock::WriterLock lm (lock);
+                               *((Tempo*) t) = newtempo;
+                               recompute_map (_metrics);
+                       }
+                       PropertyChanged (PropertyChange ());
+                       break;
+               }
+       }
+}
+
+void
+TempoMap::change_existing_tempo_at (framepos_t where, double beats_per_minute, double note_type)
+{
+       Tempo newtempo (beats_per_minute, note_type);
+
+       TempoSection* prev;
+       TempoSection* first;
+       Metrics::iterator i;
+
+       /* find the TempoSection immediately preceding "where"
+        */
+
+       for (first = 0, i = _metrics.begin(), prev = 0; i != _metrics.end(); ++i) {
+
+               if ((*i)->frame() > where) {
                        break;
                }
 
                TempoSection* t;
 
                if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
                        if (!first) {
                                first = t;
                        }
@@ -937,7 +1344,7 @@ TempoMap::change_existing_tempo_at (framepos_t where, double beats_per_minute, d
                Glib::Threads::RWLock::WriterLock lm (lock);
                /* cannot move the first tempo section */
                *((Tempo*)prev) = newtempo;
-               recompute_map (false);
+               recompute_map (_metrics);
        }
 
        PropertyChanged (PropertyChange ());
@@ -948,13 +1355,13 @@ TempoMap::first_meter () const
 {
        const MeterSection *m = 0;
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                if ((m = dynamic_cast<const MeterSection *> (*i)) != 0) {
                        return *m;
                }
        }
 
-       fatal << _("programming error: no tempo section in tempo map!") << endmsg;
+       fatal << _("programming error: no meter section in tempo map!") << endmsg;
        abort(); /*NOTREACHED*/
        return *m;
 }
@@ -966,7 +1373,7 @@ TempoMap::first_meter ()
 
        /* CALLER MUST HOLD LOCK */
 
-       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                if ((m = dynamic_cast<MeterSection *> (*i)) != 0) {
                        return *m;
                }
@@ -984,9 +1391,14 @@ TempoMap::first_tempo () const
 
        /* CALLER MUST HOLD LOCK */
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                if ((t = dynamic_cast<const TempoSection *> (*i)) != 0) {
-                       return *t;
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (!t->movable()) {
+                               return *t;
+                       }
                }
        }
 
@@ -1000,9 +1412,14 @@ TempoMap::first_tempo ()
 {
        TempoSection *t = 0;
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                if ((t = dynamic_cast<TempoSection *> (*i)) != 0) {
-                       return *t;
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (!t->movable()) {
+                               return *t;
+                       }
                }
        }
 
@@ -1010,9 +1427,82 @@ TempoMap::first_tempo ()
        abort(); /*NOTREACHED*/
        return *t;
 }
+void
+TempoMap::recompute_tempos (Metrics& metrics)
+{
+       TempoSection* prev_ts = 0;
+
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (prev_ts) {
+                               if (t->position_lock_style() == AudioTime) {
+                                       prev_ts->set_c_func (prev_ts->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
+                                       t->set_pulse (prev_ts->pulse_at_tempo (t->pulses_per_minute(), t->frame(), _frame_rate));
+
+                               } else {
+                                       prev_ts->set_c_func (prev_ts->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
+                                       t->set_frame (prev_ts->frame_at_tempo (t->pulses_per_minute(), t->pulse(), _frame_rate));
+
+                               }
+                       }
+                       prev_ts = t;
+               }
+       }
+       prev_ts->set_c_func (0.0);
+}
+
+/* tempos must be positioned correctly */
+void
+TempoMap::recompute_meters (Metrics& metrics)
+{
+       MeterSection* meter = 0;
+       MeterSection* prev_m = 0;
+       uint32_t accumulated_bars = 0;
+
+       for (Metrics::const_iterator mi = metrics.begin(); mi != metrics.end(); ++mi) {
+               if ((meter = dynamic_cast<MeterSection*> (*mi)) != 0) {
+                       if (prev_m) {
+                               const double beats_in_m = (meter->pulse() - prev_m->pulse()) * prev_m->note_divisor();
+                               accumulated_bars += (beats_in_m + 1) / prev_m->divisions_per_bar();
+                       }
+                       if (meter->position_lock_style() == AudioTime) {
+                               double pulse = 0.0;
+                               pair<double, BBT_Time> b_bbt;
+                               if (prev_m) {
+                                       double beats = ((pulse_at_frame_locked (metrics, meter->frame()) - prev_m->pulse()) * prev_m->note_divisor()) - prev_m->beat();
+                                       b_bbt = make_pair (ceil (beats), BBT_Time (accumulated_bars + 1, 1, 0));
+                                       const double true_pulse = prev_m->pulse() + (ceil (beats) - prev_m->beat()) / prev_m->note_divisor();
+                                       const double pulse_off = true_pulse - ((beats - prev_m->beat()) / prev_m->note_divisor());
+                                       pulse = true_pulse - pulse_off;
+                               }
+                               if (!meter->movable()) {
+                                       b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
+                               }
+                               meter->set_beat (b_bbt);
+                               meter->set_pulse (pulse);
+                       } else {
+                               double pulse = 0.0;
+                               if (prev_m) {
+                                       pulse = prev_m->pulse() + (meter->beat() - prev_m->beat()) / prev_m->note_divisor();
+                               } else {
+                                       pulse = pulse_at_beat_locked (metrics, meter->beat());
+                               }
+                               meter->set_frame (frame_at_pulse_locked (metrics, pulse));
+                               meter->set_pulse (pulse);
+                       }
+
+                       prev_m = meter;
+               }
+       }
+}
 
 void
-TempoMap::recompute_map (bool reassign_tempo_bbt, framepos_t end)
+TempoMap::recompute_map (Metrics& metrics, framepos_t end)
 {
        /* CALLER MUST HOLD WRITE LOCK */
 
@@ -1033,58 +1523,67 @@ TempoMap::recompute_map (bool reassign_tempo_bbt, framepos_t end)
                return;
        }
 
-       Metrics::const_iterator i;
-
-       TempoSection* prev_ts = 0;
-
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
-               TempoSection* t;
-
-               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+       recompute_tempos (metrics);
+       recompute_meters (metrics);
+}
 
-                       if (prev_ts) {
-                               double const beats_relative_to_prev_ts = t->start() - prev_ts->start();
-                               double const ticks_relative_to_prev_ts = beats_relative_to_prev_ts * BBT_Time::ticks_per_beat;
+double
+TempoMap::pulse_at_beat (const double& beat) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       return pulse_at_beat_locked (_metrics, beat);
+}
 
-                               /* assume (falsely) that the target tempo is constant */
-                               double const t_fpb = t->frames_per_beat (_frame_rate);
-                               double const av_fpb = (prev_ts->frames_per_beat (_frame_rate) + t_fpb) / 2.0;
-                               /* this walk shouldn't be needed as given c, time a = log (Ta / T0) / c. what to do? */
-                               double length_estimate = beats_relative_to_prev_ts * av_fpb;
+double
+TempoMap::pulse_at_beat_locked (const Metrics& metrics, const double& beat) const
+{
+       MeterSection* prev_ms = 0;
+       double accumulated_beats = 0.0;
 
-                               if (prev_ts->type() == TempoSection::Type::Constant) {
-                                       length_estimate = beats_relative_to_prev_ts * prev_ts->frames_per_beat (_frame_rate);
-                               }
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (prev_ms && m->beat() > beat) {
+                               break;
+                       }
+                       accumulated_beats = m->beat();
+                       prev_ms = m;
+               }
 
-                               double const system_precision_at_target_tempo = (_frame_rate / t->ticks_per_minute()) * 1.5;
-                               double tick_error = system_precision_at_target_tempo + 1.0; // sorry for the wtf
+       }
+       double const ret = prev_ms->pulse() + ((beat - accumulated_beats) / prev_ms->note_divisor());
+       return ret;
+}
 
-                               while (fabs (tick_error) > system_precision_at_target_tempo) {
+double
+TempoMap::beat_at_pulse (const double& pulse) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       return beat_at_pulse_locked (_metrics, pulse);
+}
 
-                                       double const actual_ticks = prev_ts->tick_at_frame (length_estimate, t->beats_per_minute(),
-                                                                                           (framepos_t) length_estimate, _frame_rate);
-                                       tick_error = ticks_relative_to_prev_ts - actual_ticks;
-                                       length_estimate += tick_error * (t->ticks_per_minute() / _frame_rate);
-                               }
+double
+TempoMap::beat_at_pulse_locked (const Metrics& metrics, const double& pulse) const
+{
+       MeterSection* prev_ms = 0;
+       double accumulated_beats = 0.0;
 
-                               t->set_frame (length_estimate + prev_ts->frame());
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (prev_ms && m->pulse() > pulse) {
+                               break;
                        }
-                       prev_ts = t;
+                       accumulated_beats = m->beat();
+                       prev_ms = m;
                }
        }
 
-       Metrics::const_iterator mi;
-       MeterSection* meter = 0;
+       double const beats_in_section = (pulse - prev_ms->pulse()) * prev_ms->note_divisor();
 
-       for (mi = metrics.begin(); mi != metrics.end(); ++mi) {
-               /* we can do this beacuse we have the tempo section frames set */
-               if ((meter = dynamic_cast<MeterSection*> (*mi)) != 0) {
-                       meter->set_frame (frame_at_tick (meter->start() * BBT_Time::ticks_per_beat));
-               }
-       }
+       return beats_in_section + accumulated_beats;
 }
 
-
 TempoMetric
 TempoMap::metric_at (framepos_t frame, Metrics::const_iterator* last) const
 {
@@ -1098,7 +1597,7 @@ TempoMap::metric_at (framepos_t frame, Metrics::const_iterator* last) const
           now see if we can find better candidates.
        */
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
 
                if ((*i)->frame() > frame) {
                        break;
@@ -1113,6 +1612,7 @@ TempoMap::metric_at (framepos_t frame, Metrics::const_iterator* last) const
 
        return m;
 }
+
 /* XX meters only */
 TempoMetric
 TempoMap::metric_at (BBT_Time bbt) const
@@ -1127,7 +1627,7 @@ TempoMap::metric_at (BBT_Time bbt) const
           now see if we can find better candidates.
        */
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                MeterSection* mw;
                if ((mw = dynamic_cast<MeterSection*> (*i)) != 0) {
                        BBT_Time section_start (mw->bbt());
@@ -1146,7 +1646,6 @@ TempoMap::metric_at (BBT_Time bbt) const
 void
 TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt)
 {
-       Glib::Threads::RWLock::ReaderLock lm (lock);
 
        if (frame < 0) {
                bbt.bars = 1;
@@ -1155,32 +1654,41 @@ TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt)
                warning << string_compose (_("tempo map asked for BBT time at frame %1\n"), frame) << endmsg;
                return;
        }
-       bbt = beats_to_bbt (beat_at_frame (frame));
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       double const beat = beat_at_frame_locked (_metrics, frame);
+
+       bbt = beats_to_bbt_locked (_metrics, beat);
 }
 
 double
-TempoMap::bbt_to_beats (Timecode::BBT_Time bbt)
+TempoMap::bbt_to_beats (const Timecode::BBT_Time& bbt)
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+
+       return bbt_to_beats_locked (_metrics, bbt);
+}
+
+double
+TempoMap::bbt_to_beats_locked (const Metrics& metrics, const Timecode::BBT_Time& bbt) const
 {
        /* CALLER HOLDS READ LOCK */
 
        double accumulated_beats = 0.0;
        double accumulated_bars = 0.0;
        MeterSection* prev_ms = 0;
-
-       Metrics::const_iterator i;
-
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       /* because audio-locked meters have 'fake' integral beats,
+          there is no pulse offset here.
+       */
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
                MeterSection* m;
                if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
                        double bars_to_m = 0.0;
                        if (prev_ms) {
-                               bars_to_m = (m->start() - prev_ms->start()) / prev_ms->divisions_per_bar();
-                       }
-                       if ((bars_to_m + accumulated_bars) > (bbt.bars - 1)) {
-                               break;
-                       }
-                       if (prev_ms) {
-                               accumulated_beats += m->start() - prev_ms->start();
+                               bars_to_m = (m->beat() - prev_ms->beat()) / prev_ms->divisions_per_bar();
+                               if ((bars_to_m + accumulated_bars) > (bbt.bars - 1)) {
+                                       break;
+                               }
+                               accumulated_beats = m->beat();
                                accumulated_bars += bars_to_m;
                        }
                        prev_ms = m;
@@ -1189,41 +1697,50 @@ TempoMap::bbt_to_beats (Timecode::BBT_Time bbt)
 
        double const remaining_bars = (bbt.bars - 1) - accumulated_bars;
        double const remaining_bars_in_beats = remaining_bars * prev_ms->divisions_per_bar();
-       double const ret = remaining_bars_in_beats + accumulated_beats + (bbt.ticks / BBT_Time::ticks_per_beat);
+       double const ret = remaining_bars_in_beats + accumulated_beats + (bbt.beats - 1) + (bbt.ticks / BBT_Time::ticks_per_beat);
 
        return ret;
 }
 
 Timecode::BBT_Time
-TempoMap::beats_to_bbt (double beats)
+TempoMap::beats_to_bbt (const double& beats)
 {
-       /* CALLER HOLDS READ LOCK */
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
+       return beats_to_bbt_locked (_metrics, beats);
+}
+
+Timecode::BBT_Time
+TempoMap::beats_to_bbt_locked (const Metrics& metrics, const double& b) const
+{
+       /* CALLER HOLDS READ LOCK */
        MeterSection* prev_ms = 0;
+       const double beats = (b < 0.0) ? 0.0 : b;
        uint32_t accumulated_bars = 0;
+       double accumulated_beats = 0.0;
 
-       Metrics::const_iterator i;
-
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
                MeterSection* m = 0;
 
                if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
 
-                       if (beats < m->start()) {
-                               /* this is the meter after the one our beat is on*/
-                               break;
-                       }
-
                        if (prev_ms) {
+                               double const beats_to_m = m->beat() - prev_ms->beat();
+                               if (accumulated_beats + beats_to_m > beats) {
+                                       /* this is the meter after the one our beat is on*/
+                                       break;
+                               }
+
                                /* we need a whole number of bars. */
-                               accumulated_bars += ((m->start() - prev_ms->start()) + 1) / prev_ms->divisions_per_bar();
+                               accumulated_bars += (beats_to_m + 1) / prev_ms->divisions_per_bar();
+                               accumulated_beats += beats_to_m;
                        }
 
                        prev_ms = m;
                }
        }
 
-       double const beats_in_ms = beats - prev_ms->start();
+       double const beats_in_ms = beats - accumulated_beats;
        uint32_t const bars_in_ms = (uint32_t) floor (beats_in_ms / prev_ms->divisions_per_bar());
        uint32_t const total_bars = bars_in_ms + accumulated_bars;
        double const remaining_beats = beats_in_ms - (bars_in_ms * prev_ms->divisions_per_bar());
@@ -1244,7 +1761,64 @@ TempoMap::beats_to_bbt (double beats)
                ret.ticks -= BBT_Time::ticks_per_beat;
        }
 
-       if (ret.beats > prev_ms->divisions_per_bar()) {
+       if (ret.beats >= prev_ms->divisions_per_bar() + 1) {
+               ++ret.bars;
+               ret.beats = 1;
+       }
+
+       return ret;
+}
+
+Timecode::BBT_Time
+TempoMap::pulse_to_bbt (const double& pulse)
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       MeterSection* prev_ms = 0;
+       uint32_t accumulated_bars = 0;
+       double accumulated_pulses = 0.0;
+
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
+               MeterSection* m = 0;
+
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+
+                       if (prev_ms) {
+                               double const pulses_to_m = m->pulse() - prev_ms->pulse();
+                               if (accumulated_pulses + pulses_to_m > pulse) {
+                                       /* this is the meter after the one our beat is on*/
+                                       break;
+                               }
+
+                               /* we need a whole number of bars. */
+                               accumulated_pulses += pulses_to_m;
+                               accumulated_bars += ((pulses_to_m * prev_ms->note_divisor()) + 1) / prev_ms->divisions_per_bar();
+                       }
+
+                       prev_ms = m;
+               }
+       }
+       double const beats_in_ms = (pulse - prev_ms->pulse()) * prev_ms->note_divisor();
+       uint32_t const bars_in_ms = (uint32_t) floor (beats_in_ms / prev_ms->divisions_per_bar());
+       uint32_t const total_bars = bars_in_ms + accumulated_bars;
+       double const remaining_beats = beats_in_ms - (bars_in_ms * prev_ms->divisions_per_bar());
+       double const remaining_ticks = (remaining_beats - floor (remaining_beats)) * BBT_Time::ticks_per_beat;
+
+       BBT_Time ret;
+
+       ret.ticks = (uint32_t) floor (remaining_ticks + 0.5);
+       ret.beats = (uint32_t) floor (remaining_beats);
+       ret.bars = total_bars;
+
+       /* 0 0 0 to 1 1 0 mapping*/
+       ++ret.bars;
+       ++ret.beats;
+
+       if (ret.ticks >= BBT_Time::ticks_per_beat) {
+               ++ret.beats;
+               ret.ticks -= BBT_Time::ticks_per_beat;
+       }
+
+       if (ret.beats >= prev_ms->divisions_per_bar() + 1) {
                ++ret.bars;
                ret.beats = 1;
        }
@@ -1253,163 +1827,567 @@ TempoMap::beats_to_bbt (double beats)
 }
 
 double
-TempoMap::tick_at_frame (framecnt_t frame) const
+TempoMap::beat_at_frame (const framecnt_t& frame) const
 {
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       return beat_at_frame_locked (_metrics, frame);
+}
+
+double
+TempoMap::beat_at_frame_locked (const Metrics& metrics, const framecnt_t& frame) const
+{
+       //framecnt_t const offset_frame = frame + frame_offset_at (metrics, frame);
+       double const pulse = pulse_at_frame_locked (metrics, frame);
+
+       return beat_at_pulse_locked (metrics, pulse);
+}
+
+double
+TempoMap::pulse_at_frame_locked (const Metrics& metrics, const framecnt_t& frame) const
+{
+       /* HOLD (at least) THE READER LOCK */
+       TempoSection* prev_ts = 0;
+       double accumulated_pulses = 0.0;
+
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (prev_ts && t->frame() > frame) {
+                               /*the previous ts is the one containing the frame */
+                               double const ret = prev_ts->pulse_at_frame (frame, _frame_rate);
+                               return ret;
+                       }
+                       accumulated_pulses = t->pulse();
+                       prev_ts = t;
+               }
+       }
+
+       /* treated as constant for this ts */
+       double const pulses_in_section = (frame - prev_ts->frame()) / prev_ts->frames_per_pulse (_frame_rate);
+
+       return pulses_in_section + accumulated_pulses;
+}
+
+framecnt_t
+TempoMap::frame_at_beat (const double& beat) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       return frame_at_beat_locked (_metrics, beat);
+}
+
+framecnt_t
+TempoMap::frame_at_beat_locked (const Metrics& metrics, const double& beat) const
+{
+       framecnt_t const frame = frame_at_pulse_locked (metrics, pulse_at_beat_locked (metrics, beat));
+       //frameoffset_t const frame_off = frame_offset_at (metrics, frame);
+       return frame;
+}
+
+framecnt_t
+TempoMap::frame_at_pulse_locked (const Metrics& metrics, const double& pulse) const
+{
+       /* HOLD THE READER LOCK */
 
-       Metrics::const_iterator i;
        const TempoSection* prev_ts = 0;
-       double accumulated_ticks = 0.0;
+       double accumulated_pulses = 0.0;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
                TempoSection* t;
 
                if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (prev_ts && t->pulse() > pulse) {
+                               return prev_ts->frame_at_pulse (pulse, _frame_rate);
+                       }
 
-                       if ((prev_ts) && frame < t->frame()) {
-                               /*the previous ts is the one containing the frame */
+                       accumulated_pulses = t->pulse();
+                       prev_ts = t;
+               }
+       }
+       /* must be treated as constant, irrespective of _type */
+       double const pulses_in_section = pulse - accumulated_pulses;
+       double const dtime = pulses_in_section * prev_ts->frames_per_pulse (_frame_rate);
+
+       framecnt_t const ret = (framecnt_t) floor (dtime) + prev_ts->frame();
+
+       return ret;
+}
+
+double
+TempoMap::beat_offset_at (const Metrics& metrics, const double& beat) const
+{
+       MeterSection* prev_m = 0;
+       double beat_off = first_meter().pulse();
+
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* m = 0;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (prev_m) {
+                               if (m->beat() > beat) {
+                                       break;
+                               }
+
+                               if (m->position_lock_style() == AudioTime) {
+                                       beat_off += ((m->beat() - prev_m->beat()) / prev_m->note_divisor()) - floor (m->pulse() - prev_m->pulse());
+                               }
+                       }
+                       prev_m = m;
+               }
+       }
+
+       return beat_off;
+}
+
+frameoffset_t
+TempoMap::frame_offset_at (const Metrics& metrics, const framepos_t& frame) const
+{
+       frameoffset_t frame_off = 0;
+       MeterSection* prev_m = 0;
+
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* m = 0;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (m->frame() > frame) {
+                               break;
+                       }
+                       if (prev_m && m->position_lock_style() == AudioTime) {
+                               const double pulse = prev_m->pulse() + ((m->beat() - prev_m->beat()) / prev_m->note_divisor());
+                               frame_off += frame_at_pulse_locked (metrics, pulse) - m->frame();
+                       }
+                       prev_m = m;
+               }
+       }
+
+       return frame_off;
+}
+
+framepos_t
+TempoMap::frame_time (const BBT_Time& bbt)
+{
+       if (bbt.bars < 1) {
+               warning << string_compose (_("tempo map asked for frame time at bar < 1  (%1)\n"), bbt) << endmsg;
+               return 0;
+       }
+
+       if (bbt.beats < 1) {
+               throw std::logic_error ("beats are counted from one");
+       }
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       double const beat = bbt_to_beats_locked (_metrics, bbt);
+       framecnt_t const frame = frame_at_beat_locked (_metrics, beat);
+       return frame;
+}
+
+framepos_t
+TempoMap::frame_time_locked (const Metrics& metrics, const BBT_Time& bbt) const
+{
+       /* HOLD THE READER LOCK */
+
+       framepos_t const ret = frame_at_pulse_locked (metrics, pulse_at_beat_locked (metrics, bbt_to_beats_locked (metrics, bbt)));
+
+       return ret;
+}
+
+bool
+TempoMap::check_solved (Metrics& metrics, bool by_frame)
+{
+       TempoSection* prev_ts = 0;
+
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (prev_ts) {
+                               if ((by_frame && t->frame() < prev_ts->frame()) || (!by_frame && t->pulse() < prev_ts->pulse())) {
+                                       return false;
+                               }
+
+                               if (t->frame() == prev_ts->frame()) {
+                                       return false;
+                               }
+
+                               /* precision check ensures pulses and frames align independent of lock style.*/
+                               if (by_frame && t->frame() != prev_ts->frame_at_pulse (t->pulse(), _frame_rate)) {
+                                       return false;
+                               }
+                       }
+                       prev_ts = t;
+               }
+       }
+
+       return true;
+}
+
+bool
+TempoMap::set_active_tempos (const Metrics& metrics, const framepos_t& frame)
+{
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->movable()) {
+                               t->set_active (true);
+                               continue;
+                       }
+                       if (t->movable() && t->active () && t->position_lock_style() == AudioTime && t->frame() < frame) {
+                               t->set_active (false);
+                               t->set_pulse (0.0);
+                       } else if (t->movable() && t->position_lock_style() == AudioTime && t->frame() > frame) {
+                               t->set_active (true);
+                       } else if (t->movable() && t->position_lock_style() == AudioTime && t->frame() == frame) {
+                               return false;
+                       }
+               }
+       }
+       return true;
+}
+
+bool
+TempoMap::solve_map (Metrics& imaginary, TempoSection* section, const Tempo& bpm, const framepos_t& frame)
+{
+       TempoSection* prev_ts = 0;
+       TempoSection* section_prev = 0;
+       framepos_t first_m_frame = 0;
+
+       for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (!m->movable()) {
+                               first_m_frame = m->frame();
+                               break;
+                       }
+               }
+       }
+       if (section->movable() && frame <= first_m_frame) {
+               return false;
+       } else {
+               section->set_active (true);
+       }
+       section->set_frame (frame);
+
+       for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (prev_ts) {
+                               if (t == section) {
+                                       section_prev = prev_ts;
+                                       continue;
+                               }
+                               if (t->position_lock_style() == MusicTime) {
+                                       prev_ts->set_c_func (prev_ts->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
+                                       t->set_frame (prev_ts->frame_at_pulse (t->pulse(), _frame_rate));
+                               } else {
+                                       prev_ts->set_c_func (prev_ts->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
+                                       t->set_pulse (prev_ts->pulse_at_frame (t->frame(), _frame_rate));
+                               }
+                       }
+                       prev_ts = t;
+               }
+       }
+
+       if (section_prev) {
+               section_prev->set_c_func (section_prev->compute_c_func_frame (section->pulses_per_minute(), frame, _frame_rate));
+               section->set_pulse (section_prev->pulse_at_frame (frame, _frame_rate));
+       }
+
+       if (section->position_lock_style() == MusicTime) {
+               /* we're setting the frame */
+               section->set_position_lock_style (AudioTime);
+               recompute_tempos (imaginary);
+               section->set_position_lock_style (MusicTime);
+       } else {
+               recompute_tempos (imaginary);
+       }
+
+       if (check_solved (imaginary, true)) {
+               recompute_meters (imaginary);
+               return true;
+       }
+
+       MetricSectionFrameSorter fcmp;
+       imaginary.sort (fcmp);
+       if (section->position_lock_style() == MusicTime) {
+               /* we're setting the frame */
+               section->set_position_lock_style (AudioTime);
+               recompute_tempos (imaginary);
+               section->set_position_lock_style (MusicTime);
+       } else {
+               recompute_tempos (imaginary);
+       }
+       if (check_solved (imaginary, true)) {
+               recompute_meters (imaginary);
+               return true;
+       }
+
+       MetricSectionSorter cmp;
+       imaginary.sort (cmp);
+       if (section->position_lock_style() == MusicTime) {
+               /* we're setting the frame */
+               section->set_position_lock_style (AudioTime);
+               recompute_tempos (imaginary);
+               section->set_position_lock_style (MusicTime);
+       } else {
+               recompute_tempos (imaginary);
+       }
+       if (check_solved (imaginary, true)) {
+               recompute_meters (imaginary);
+               return true;
+       }
+       //dump (imaginary, std::cerr);
+
+       return false;
+}
+
+bool
+TempoMap::solve_map (Metrics& imaginary, TempoSection* section, const Tempo& bpm, const double& pulse)
+{
+       TempoSection* prev_ts = 0;
+       TempoSection* section_prev = 0;
+
+       section->set_pulse (pulse);
+
+       for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (prev_ts) {
+                               if (t == section) {
+                                       section_prev = prev_ts;
+                                       continue;
+                               }
+                               if (t->position_lock_style() == MusicTime) {
+                                       prev_ts->set_c_func (prev_ts->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
+                                       t->set_frame (prev_ts->frame_at_pulse (t->pulse(), _frame_rate));
+                               } else {
+                                       prev_ts->set_c_func (prev_ts->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
+                                       t->set_pulse (prev_ts->pulse_at_frame (t->frame(), _frame_rate));
+                               }
+                       }
+                       prev_ts = t;
+               }
+       }
+       if (section_prev) {
+               section_prev->set_c_func (section_prev->compute_c_func_pulse (section->pulses_per_minute(), pulse, _frame_rate));
+               section->set_frame (section_prev->frame_at_pulse (pulse, _frame_rate));
+       }
 
-                               framepos_t time = frame - prev_ts->frame();
-                               framepos_t last_frame = t->frame() - prev_ts->frame();
-                               double last_beats_per_minute = t->beats_per_minute();
+       if (section->position_lock_style() == AudioTime) {
+               /* we're setting the pulse */
+               section->set_position_lock_style (MusicTime);
+               recompute_tempos (imaginary);
+               section->set_position_lock_style (AudioTime);
+       } else {
+               recompute_tempos (imaginary);
+       }
+       if (check_solved (imaginary, false)) {
+               recompute_meters (imaginary);
+               return true;
+       }
 
-                               return prev_ts->tick_at_frame (time, last_beats_per_minute, last_frame, _frame_rate) + accumulated_ticks;
-                       }
+       MetricSectionSorter cmp;
+       imaginary.sort (cmp);
+       if (section->position_lock_style() == AudioTime) {
+               /* we're setting the pulse */
+               section->set_position_lock_style (MusicTime);
+               recompute_tempos (imaginary);
+               section->set_position_lock_style (AudioTime);
+       } else {
+               recompute_tempos (imaginary);
+       }
 
-                       if (prev_ts && t->frame() > prev_ts->frame()) {
-                               framepos_t time = t->frame() - prev_ts->frame();
-                               framepos_t last_frame = t->frame() - prev_ts->frame();
-                               double last_beats_per_minute = t->beats_per_minute();
-                               accumulated_ticks += prev_ts->tick_at_frame (time, last_beats_per_minute, last_frame, _frame_rate);
-                       }
+       if (check_solved (imaginary, false)) {
+               recompute_meters (imaginary);
+               return true;
+       }
 
-                       prev_ts = t;
-               }
+       MetricSectionFrameSorter fcmp;
+       imaginary.sort (fcmp);
+       if (section->position_lock_style() == AudioTime) {
+               /* we're setting the pulse */
+               section->set_position_lock_style (MusicTime);
+               recompute_tempos (imaginary);
+               section->set_position_lock_style (AudioTime);
+       } else {
+               recompute_tempos (imaginary);
        }
 
-       /* treated s linear for this ts */
-       framecnt_t frames_in_section = frame - prev_ts->frame();
-       double ticks_in_section = (frames_in_section / prev_ts->frames_per_beat (_frame_rate)) * Timecode::BBT_Time::ticks_per_beat;
+       if (check_solved (imaginary, false)) {
+               recompute_meters (imaginary);
+               return true;
+       }
 
-       return ticks_in_section + accumulated_ticks;
+       //dump (imaginary, std::cerr);
 
+       return false;
 }
 
-framecnt_t
-TempoMap::frame_at_tick (double tick) const
+void
+TempoMap::solve_map (Metrics& imaginary, MeterSection* section, const Meter& mt, const framepos_t& frame)
 {
-       /* HOLD THE READER LOCK */
+       MeterSection* prev_ms = 0;
 
-       double accumulated_ticks = 0.0;
-       double accumulated_ticks_to_prev = 0.0;
-       const TempoSection* prev_ts = 0;
+       if (!section->movable()) {
+               /* lock the first tempo to our first meter */
+               if (!set_active_tempos (imaginary, frame)) {
+                       return;
+               }
+               TempoSection* first_t = &first_tempo();
+               Metrics future_map;
+               TempoSection* new_section = copy_metrics_and_point (future_map, first_t);
+
+               new_section->set_frame (frame);
+               new_section->set_pulse (0.0);
+               new_section->set_active (true);
+
+               if (solve_map (future_map, new_section, Tempo (new_section->beats_per_minute(), new_section->note_type()), frame)) {
+                       first_t->set_frame (frame);
+                       first_t->set_pulse (0.0);
+                       first_t->set_active (true);
+                       solve_map (imaginary, first_t, Tempo (first_t->beats_per_minute(), first_t->note_type()), frame);
+               } else {
+                       return;
+               }
+       }
 
-       Metrics::const_iterator i;
+       uint32_t accumulated_bars = 0;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
-               TempoSection* t;
-               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+       section->set_frame (frame);
 
-                       if (prev_ts && t->frame() > prev_ts->frame()) {
-                               framepos_t const time = t->frame() - prev_ts->frame();
-                               framepos_t const last_time = t->frame() - prev_ts->frame();
-                               double const last_beats_per_minute = t->beats_per_minute();
-                               accumulated_ticks += prev_ts->tick_at_frame (time, last_beats_per_minute, last_time, _frame_rate);
+       for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (prev_ms) {
+                               const double beats_in_m = (m->pulse() - prev_ms->pulse()) * prev_ms->note_divisor();
+                               accumulated_bars += (beats_in_m + 1) / prev_ms->divisions_per_bar();
                        }
-
-                       if (prev_ts && tick < accumulated_ticks) {
-                               /* prev_ts is the one affecting us. */
-
-                               double const ticks_in_section = tick - accumulated_ticks_to_prev;
-                               framepos_t const section_start = prev_ts->frame();
-                               framepos_t const last_time = t->frame() - prev_ts->frame();
-                               double const last_beats_per_minute = t->beats_per_minute();
-
-                               return prev_ts->frame_at_tick (ticks_in_section, last_beats_per_minute, last_time, _frame_rate) + section_start;
+                       if (m == section){
+                               /*
+                                 here we set the beat for this frame.
+                                 we're going to set it 'incorrectly' to the next integer and use this difference
+                                 to find the meter's pulse later.
+                                 (meters should fall on absolute beats to keep us sane)
+                               */
+                               double pulse = 0.0;
+                               pair<double, BBT_Time> b_bbt;
+                               if (m->movable()) {
+                                       double beats = ((pulse_at_frame_locked (imaginary, frame) - prev_ms->pulse()) * prev_ms->note_divisor()) - prev_ms->beat();
+                                       b_bbt = make_pair (ceil (beats), BBT_Time (accumulated_bars + 1, 1, 0));
+                                       const double true_pulse = prev_ms->pulse() + ((ceil (beats) - prev_ms->beat()) / prev_ms->note_divisor());
+                                       const double pulse_off = true_pulse - ((beats - prev_ms->beat()) / prev_ms->note_divisor());
+                                       pulse = true_pulse - pulse_off;
+                               } else {
+                                       b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
+                               }
+                               m->set_beat (b_bbt);
+                               m->set_pulse (pulse);
+                               prev_ms = m;
+                               continue;
                        }
-                       accumulated_ticks_to_prev = accumulated_ticks;
-                       prev_ts = t;
+                       if (prev_ms) {
+                               if (m->position_lock_style() == MusicTime) {
+                                       const double pulse = prev_ms->pulse() + (m->beat() - prev_ms->beat()) / prev_ms->note_divisor();
+                                       m->set_frame (frame_at_pulse_locked (imaginary, pulse));
+                                       m->set_pulse (pulse);
+                               } else {
+                                       if (!m->movable()) {
+                                               pair<double, BBT_Time> b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
+                                               m->set_beat (b_bbt);
+                                       }
+                                       const double pulse = prev_ms->pulse() + (m->beat() - prev_ms->beat()) / prev_ms->note_divisor();
+                                       m->set_pulse (pulse);
+                               }
+                       }
+                       prev_ms = m;
                }
        }
-       double const ticks_in_section = tick - accumulated_ticks_to_prev;
-       double const dtime = (ticks_in_section / BBT_Time::ticks_per_beat) * prev_ts->frames_per_beat(_frame_rate);
-       framecnt_t const ret = ((framecnt_t) floor (dtime)) + prev_ts->frame();
-
-       return ret;
-}
-
-double
-TempoMap::beat_at_frame (framecnt_t frame) const
-{
-       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       return tick_at_frame (frame) / BBT_Time::ticks_per_beat;
+       if (section->position_lock_style() == MusicTime) {
+               /* we're setting the frame */
+               section->set_position_lock_style (AudioTime);
+               recompute_meters (imaginary);
+               section->set_position_lock_style (MusicTime);
+       } else {
+               recompute_meters (imaginary);
+       }
+       //dump (imaginary, std::cerr);
 }
 
-framecnt_t
-TempoMap::frame_at_beat (double beat) const
+void
+TempoMap::solve_map (Metrics& imaginary, MeterSection* section, const Meter& mt, const double& pulse)
 {
-       Glib::Threads::RWLock::ReaderLock lm (lock);
+       MeterSection* prev_ms = 0;
+       double accumulated_beats = 0.0;
+       uint32_t accumulated_bars = 0;
 
-       return frame_at_tick (beat * BBT_Time::ticks_per_beat);
-}
+       section->set_pulse (pulse);
 
-framepos_t
-TempoMap::frame_time (const BBT_Time& bbt)
-{
-       if (bbt.bars < 1) {
-               warning << string_compose (_("tempo map asked for frame time at bar < 1  (%1)\n"), bbt) << endmsg;
-               return 0;
+       for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (prev_ms) {
+                               double const beats_in_m = (m->pulse() - prev_ms->pulse()) * prev_ms->note_divisor();
+                               accumulated_beats += beats_in_m;
+                               accumulated_bars += (beats_in_m + 1) / prev_ms->divisions_per_bar();
+                       }
+                       if (m == section){
+                               section->set_frame (frame_at_pulse_locked (imaginary, pulse));
+                               pair<double, BBT_Time> b_bbt = make_pair (accumulated_beats, BBT_Time (accumulated_bars + 1, 1, 0));
+                               section->set_beat (b_bbt);
+                               prev_ms = section;
+                               continue;
+                       }
+                       if (prev_ms) {
+                               if (m->position_lock_style() == MusicTime) {
+                                       const double pulse = prev_ms->pulse() + (m->beat() - prev_ms->beat()) / prev_ms->note_divisor();
+                                       m->set_frame (frame_at_pulse_locked (imaginary, pulse));
+                                       m->set_pulse (pulse);
+                               } else {
+                                       if (!m->movable()) {
+                                               pair<double, BBT_Time> b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
+                                               m->set_beat (b_bbt);
+                                       }
+                                       const double pulse = prev_ms->pulse() + (m->beat() - prev_ms->beat()) / prev_ms->note_divisor();
+                                       m->set_pulse (pulse);
+                               }
+                       }
+                       prev_ms = m;
+               }
        }
 
-       if (bbt.beats < 1) {
-               throw std::logic_error ("beats are counted from one");
+       if (section->position_lock_style() == AudioTime) {
+               /* we're setting the pulse */
+               section->set_position_lock_style (MusicTime);
+               recompute_meters (imaginary);
+               section->set_position_lock_style (AudioTime);
+       } else {
+               recompute_meters (imaginary);
        }
-       Glib::Threads::RWLock::ReaderLock lm (lock);
-
-       framepos_t const ret = frame_at_beat (bbt_to_beats (bbt));
-
-       return ret;
 }
 
-
 framecnt_t
 TempoMap::bbt_duration_at (framepos_t pos, const BBT_Time& bbt, int dir)
 {
-
        Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       Metrics::const_iterator i;
-       TempoSection* first = 0;
-       TempoSection* second = 0;
-
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
-               TempoSection* t;
-
-               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-
-                       if ((*i)->frame() > pos) {
-                               second = t;
-                               break;
-                       }
-
-                       first = t;
-               }
-       }
-       if (first && second) {
-               framepos_t const last_time = second->frame() - first->frame();
-               double const last_beats_per_minute = second->beats_per_minute();
-
-               framepos_t const time = pos - first->frame();
-               double const tick_at_time = first->tick_at_frame (time, last_beats_per_minute, last_time, _frame_rate);
-               double const bbt_ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
+       double const tick_at_time = beat_at_frame_locked (_metrics, pos) * BBT_Time::ticks_per_beat;
+       double const bbt_ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
+       double const total_beats = (tick_at_time + bbt_ticks) / BBT_Time::ticks_per_beat;
+       framecnt_t const time_at_bbt = frame_at_beat_locked (_metrics, total_beats);
+       framecnt_t const ret = time_at_bbt;
 
-               double const time_at_bbt = first->frame_at_tick (tick_at_time + bbt_ticks, last_beats_per_minute, last_time, _frame_rate);
-
-               return time_at_bbt - time;
-       }
-
-       double const ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
-       return (framecnt_t) floor ((ticks / BBT_Time::ticks_per_beat) * first->frames_per_beat(_frame_rate));
+       return ret;
 }
 
 framepos_t
@@ -1428,10 +2406,9 @@ framepos_t
 TempoMap::round_to_beat_subdivision (framepos_t fr, int sub_num, RoundMode dir)
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
-
-       uint32_t ticks = (uint32_t) floor (tick_at_frame (fr) + 0.5);
+       uint32_t ticks = (uint32_t) floor (beat_at_frame_locked (_metrics, fr) * BBT_Time::ticks_per_beat);
        uint32_t beats = (uint32_t) floor (ticks / BBT_Time::ticks_per_beat);
-       uint32_t ticks_one_subdivisions_worth = (uint32_t)BBT_Time::ticks_per_beat / sub_num;
+       uint32_t ticks_one_subdivisions_worth = (uint32_t) BBT_Time::ticks_per_beat / sub_num;
 
        ticks -= beats * BBT_Time::ticks_per_beat;
 
@@ -1515,7 +2492,61 @@ TempoMap::round_to_beat_subdivision (framepos_t fr, int sub_num, RoundMode dir)
                        /* on the subdivision, do nothing */
                }
        }
-       return frame_at_tick ((beats * BBT_Time::ticks_per_beat) + ticks);
+
+       framepos_t const ret_frame = frame_at_beat_locked (_metrics, beats + (ticks / BBT_Time::ticks_per_beat));
+
+       return ret_frame;
+}
+
+void
+TempoMap::round_bbt (BBT_Time& when, const int32_t& sub_num)
+{
+       if (sub_num == -1) {
+               const double bpb = meter_section_at (bbt_to_beats_locked (_metrics, when)).divisions_per_bar();
+               if ((double) when.beats > bpb / 2.0) {
+                       ++when.bars;
+               }
+               when.beats = 1;
+               when.ticks = 0;
+               return;
+       } else if (sub_num == 0) {
+               const double bpb = meter_section_at (bbt_to_beats_locked (_metrics, when)).divisions_per_bar();
+               if ((double) when.ticks > BBT_Time::ticks_per_beat / 2.0) {
+                       ++when.beats;
+                       while ((double) when.beats > bpb) {
+                               ++when.bars;
+                               when.beats -= (uint32_t) floor (bpb);
+                       }
+               }
+               when.ticks = 0;
+               return;
+       }
+       const uint32_t ticks_one_subdivisions_worth = BBT_Time::ticks_per_beat / sub_num;
+       double rem;
+       if ((rem = fmod ((double) when.ticks, (double) ticks_one_subdivisions_worth)) > (ticks_one_subdivisions_worth / 2.0)) {
+               /* closer to the next subdivision, so shift forward */
+
+               when.ticks = when.ticks + (ticks_one_subdivisions_worth - rem);
+
+               if (when.ticks > Timecode::BBT_Time::ticks_per_beat) {
+                       ++when.beats;
+                       when.ticks -= Timecode::BBT_Time::ticks_per_beat;
+               }
+
+       } else if (rem > 0) {
+               /* closer to previous subdivision, so shift backward */
+
+               if (rem > when.ticks) {
+                       if (when.beats == 0) {
+                               /* can't go backwards past zero, so ... */
+                       }
+                       /* step back to previous beat */
+                       --when.beats;
+                       when.ticks = Timecode::BBT_Time::ticks_per_beat - rem;
+               } else {
+                       when.ticks = when.ticks - rem;
+               }
+       }
 }
 
 framepos_t
@@ -1523,9 +2554,8 @@ TempoMap::round_to_type (framepos_t frame, RoundMode dir, BBTPointType type)
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       double const beat_at_framepos = beat_at_frame (frame);
-
-       BBT_Time bbt (beats_to_bbt (beat_at_framepos));
+       double const beat_at_framepos = beat_at_frame_locked (_metrics, frame);
+       BBT_Time bbt (beats_to_bbt_locked (_metrics, beat_at_framepos));
 
        switch (type) {
        case Bar:
@@ -1561,11 +2591,11 @@ TempoMap::round_to_type (framepos_t frame, RoundMode dir, BBTPointType type)
 
        case Beat:
                if (dir < 0) {
-                       return frame_at_beat (floor (beat_at_framepos));
+                       return frame_at_beat_locked (_metrics, floor (beat_at_framepos));
                } else if (dir > 0) {
-                       return frame_at_beat (ceil (beat_at_framepos));
+                       return frame_at_beat_locked (_metrics, ceil (beat_at_framepos));
                } else {
-                       return frame_at_beat (floor (beat_at_framepos + 0.5));
+                       return frame_at_beat_locked (_metrics, floor (beat_at_framepos + 0.5));
                }
                break;
        }
@@ -1578,16 +2608,19 @@ TempoMap::get_grid (vector<TempoMap::BBTPoint>& points,
                    framepos_t lower, framepos_t upper)
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
-       uint32_t const upper_beat = (uint32_t) floor (beat_at_frame (upper));
-       uint32_t cnt = (uint32_t) ceil (beat_at_frame (lower));
-
+       int32_t const upper_beat = (int32_t) ceil (beat_at_frame_locked (_metrics, upper));
+       int32_t cnt = floor (beat_at_frame_locked (_metrics, lower));
+       /* although the map handles negative beats, bbt doesn't. */
+       if (cnt < 0.0) {
+               cnt = 0.0;
+       }
        while (cnt <= upper_beat) {
-               framecnt_t const pos = frame_at_beat (cnt);
-               MeterSection const meter = meter_section_at (pos);
-               Tempo const tempo = tempo_at (pos);
-               BBT_Time const bbt = beats_to_bbt ((double) cnt);
-
-               points.push_back (BBTPoint (meter, tempo, pos, bbt.bars, bbt.beats));
+               framecnt_t pos = frame_at_beat_locked (_metrics, cnt);
+               TempoSection const tempo = tempo_section_at_locked (pos);
+               MeterSection const meter = meter_section_at_locked (pos);
+               BBT_Time const bbt = beats_to_bbt (cnt);
+               BBTPoint point = BBTPoint (meter, tempo_at_locked (pos), pos, bbt.bars, bbt.beats, tempo.get_c_func());
+               points.push_back (point);
                ++cnt;
        }
 }
@@ -1596,16 +2629,23 @@ const TempoSection&
 TempoMap::tempo_section_at (framepos_t frame) const
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
+       return tempo_section_at_locked (frame);
+}
 
+const TempoSection&
+TempoMap::tempo_section_at_locked (framepos_t frame) const
+{
        Metrics::const_iterator i;
        TempoSection* prev = 0;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                TempoSection* t;
 
                if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-
-                       if ((*i)->frame() > frame) {
+                       if (!t->active()) {
+                               continue;
+                       }
+                       if (t->frame() > frame) {
                                break;
                        }
 
@@ -1621,23 +2661,26 @@ TempoMap::tempo_section_at (framepos_t frame) const
        return *prev;
 }
 
+
 /* don't use this to calculate length (the tempo is only correct for this frame).
    do that stuff based on the beat_at_frame and frame_at_beat api
 */
 double
-TempoMap::frames_per_beat_at (framepos_t frame, framecnt_t sr) const
+TempoMap::frames_per_beat_at (const framepos_t& frame, const framecnt_t& sr) const
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       const TempoSection* ts_at = &tempo_section_at (frame);
+       const TempoSection* ts_at = &tempo_section_at_locked (frame);
        const TempoSection* ts_after = 0;
        Metrics::const_iterator i;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                TempoSection* t;
 
                if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-
+                       if (!t->active()) {
+                               continue;
+                       }
                        if ((*i)->frame() > frame) {
                                ts_after = t;
                                break;
@@ -1646,59 +2689,72 @@ TempoMap::frames_per_beat_at (framepos_t frame, framecnt_t sr) const
        }
 
        if (ts_after) {
-               return  (60.0 * _frame_rate) / (ts_at->tempo_at_frame (frame - ts_at->frame(), ts_after->beats_per_minute(), ts_after->frame(), _frame_rate));
+               return  (60.0 * _frame_rate) / (ts_at->tempo_at_frame (frame, _frame_rate));
        }
        /* must be treated as constant tempo */
        return ts_at->frames_per_beat (_frame_rate);
 }
 
 const Tempo
-TempoMap::tempo_at (framepos_t frame) const
+TempoMap::tempo_at (const framepos_t& frame) const
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
+       return tempo_at_locked (frame);
+}
 
-       TempoMetric m (metric_at (frame));
+const Tempo
+TempoMap::tempo_at_locked (const framepos_t& frame) const
+{
        TempoSection* prev_ts = 0;
 
        Metrics::const_iterator i;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
+       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                TempoSection* t;
                if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if (!t->active()) {
+                               continue;
+                       }
                        if ((prev_ts) && t->frame() > frame) {
-                               /* this is the one past frame */
-                               framepos_t const time = frame - prev_ts->frame();
-                               framepos_t const last_time = t->frame() - prev_ts->frame();
-                               double const last_beats_per_minute = t->beats_per_minute();
-                               double const ret = prev_ts->tempo_at_frame (time, last_beats_per_minute, last_time, _frame_rate);
-                               Tempo const ret_tempo (ret, m.tempo().note_type ());
+                               /* t is the section past frame */
+                               double const ret = prev_ts->tempo_at_frame (frame, _frame_rate) * prev_ts->note_type();
+                               Tempo const ret_tempo (ret, prev_ts->note_type());
                                return ret_tempo;
                        }
                        prev_ts = t;
                }
        }
 
-       return m.tempo();
+       double const ret = prev_ts->beats_per_minute();
+       Tempo const ret_tempo (ret, prev_ts->note_type ());
 
+       return ret_tempo;
 }
 
 const MeterSection&
 TempoMap::meter_section_at (framepos_t frame) const
 {
        Glib::Threads::RWLock::ReaderLock lm (lock);
+       return meter_section_at_locked (frame);
+}
+
+const MeterSection&
+TempoMap::meter_section_at_locked (framepos_t frame) const
+{
+       //framepos_t const frame_off = frame + frame_offset_at (_metrics, frame);
        Metrics::const_iterator i;
        MeterSection* prev = 0;
 
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
-               MeterSection* t;
+       for (i = _metrics.begin(); i != _metrics.end(); ++i) {
+               MeterSection* m;
 
-               if ((t = dynamic_cast<MeterSection*> (*i)) != 0) {
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
 
-                       if ((*i)->frame() > frame) {
+                       if (prev && (*i)->frame() > frame) {
                                break;
                        }
 
-                       prev = t;
+                       prev = m;
                }
        }
 
@@ -1717,6 +2773,25 @@ TempoMap::meter_at (framepos_t frame) const
        return m.meter();
 }
 
+const MeterSection&
+TempoMap::meter_section_at (const double& beat) const
+{
+       MeterSection* prev_ms = 0;
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       if (prev_ms && m->beat() > beat) {
+                               break;
+                       }
+                       prev_ms = m;
+               }
+
+       }
+       return *prev_ms;
+}
+
 XMLNode&
 TempoMap::get_state ()
 {
@@ -1725,7 +2800,7 @@ TempoMap::get_state ()
 
        {
                Glib::Threads::RWLock::ReaderLock lm (lock);
-               for (i = metrics.begin(); i != metrics.end(); ++i) {
+               for (i = _metrics.begin(); i != _metrics.end(); ++i) {
                        root->add_child_nocopy ((*i)->get_state());
                }
        }
@@ -1741,9 +2816,8 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 
                XMLNodeList nlist;
                XMLNodeConstIterator niter;
-               Metrics old_metrics (metrics);
-               MeterSection* last_meter = 0;
-               metrics.clear();
+               Metrics old_metrics (_metrics);
+               _metrics.clear();
 
                nlist = node.children();
 
@@ -1754,18 +2828,12 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 
                                try {
                                        TempoSection* ts = new TempoSection (*child);
-                                       metrics.push_back (ts);
-
-                                       if (ts->bar_offset() < 0.0) {
-                                               if (last_meter) {
-                                                       //ts->update_bar_offset_from_bbt (*last_meter);
-                                               }
-                                       }
+                                       _metrics.push_back (ts);
                                }
 
                                catch (failed_constructor& err){
                                        error << _("Tempo map: could not set new state, restoring old one.") << endmsg;
-                                       metrics = old_metrics;
+                                       _metrics = old_metrics;
                                        break;
                                }
 
@@ -1773,13 +2841,12 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 
                                try {
                                        MeterSection* ms = new MeterSection (*child);
-                                       metrics.push_back (ms);
-                                       last_meter = ms;
+                                       _metrics.push_back (ms);
                                }
 
                                catch (failed_constructor& err) {
                                        error << _("Tempo map: could not set new state, restoring old one.") << endmsg;
-                                       metrics = old_metrics;
+                                       _metrics = old_metrics;
                                        break;
                                }
                        }
@@ -1787,47 +2854,55 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 
                if (niter == nlist.end()) {
                        MetricSectionSorter cmp;
-                       metrics.sort (cmp);
+                       _metrics.sort (cmp);
                }
                /* check for legacy sessions where bbt was the base musical unit for tempo */
-               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
-                       MeterSection* prev_ms;
-                       TempoSection* prev_ts;
-                       if ((prev_ms = dynamic_cast<MeterSection*>(*i)) != 0) {
-                               if (prev_ms->start() < 0.0) {
+               for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
+                       MeterSection* m;
+                       TempoSection* t;
+                       MeterSection* prev_ms = 0;
+                       TempoSection* prev_ts = 0;
+                       if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
+                               if (prev_ms && prev_ms->pulse() < 0.0) {
                                        /*XX we cannot possibly make this work??. */
-                                       pair<double, BBT_Time> start = make_pair (((prev_ms->bbt().bars - 1) * 4.0) + (prev_ms->bbt().beats - 1) + (prev_ms->bbt().ticks / BBT_Time::ticks_per_beat), prev_ms->bbt());
-                                       prev_ms->set_start (start);
+                                       pair<double, BBT_Time> start = make_pair (((prev_ms->bbt().bars - 1) * prev_ms->note_divisor()) + (prev_ms->bbt().beats - 1) + (prev_ms->bbt().ticks / BBT_Time::ticks_per_beat), prev_ms->bbt());
+                                       prev_ms->set_beat (start);
+                                       const double start_pulse = ((prev_ms->bbt().bars - 1) * prev_ms->note_divisor()) + (prev_ms->bbt().beats - 1) + (prev_ms->bbt().ticks / BBT_Time::ticks_per_beat);
+                                       prev_ms->set_pulse (start_pulse);
                                }
-                       } else if ((prev_ts = dynamic_cast<TempoSection*>(*i)) != 0) {
-                               if (prev_ts->start() < 0.0) {
-                                       double const start = ((prev_ts->legacy_bbt().bars - 1) * 4.0) + (prev_ts->legacy_bbt().beats - 1) + (prev_ts->legacy_bbt().ticks / BBT_Time::ticks_per_beat);
-                                       prev_ts->set_start (start);
-
+                               prev_ms = m;
+                       } else if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
+                               if (!t->active()) {
+                                       continue;
                                }
+                               if (prev_ts && prev_ts->pulse() < 0.0) {
+                                       double const start = ((prev_ts->legacy_bbt().bars - 1) * prev_ms->note_divisor()) + (prev_ts->legacy_bbt().beats - 1) + (prev_ts->legacy_bbt().ticks / BBT_Time::ticks_per_beat);
+                                       prev_ts->set_pulse (start);
+                               }
+                               prev_ts = t;
                        }
                }
                /* check for multiple tempo/meters at the same location, which
                   ardour2 somehow allowed.
                */
 
-               Metrics::iterator prev = metrics.end();
-               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
-                       if (prev != metrics.end()) {
+               Metrics::iterator prev = _metrics.end();
+               for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
+                       if (prev != _metrics.end()) {
                                MeterSection* ms;
                                MeterSection* prev_ms;
                                TempoSection* ts;
                                TempoSection* prev_ts;
                                if ((prev_ms = dynamic_cast<MeterSection*>(*prev)) != 0 && (ms = dynamic_cast<MeterSection*>(*i)) != 0) {
-                                       if (prev_ms->start() == ms->start()) {
-                                               cerr << string_compose (_("Multiple meter definitions found at %1"), prev_ms->start()) << endmsg;
-                                               error << string_compose (_("Multiple meter definitions found at %1"), prev_ms->start()) << endmsg;
+                                       if (prev_ms->pulse() == ms->pulse()) {
+                                               cerr << string_compose (_("Multiple meter definitions found at %1"), prev_ms->pulse()) << endmsg;
+                                               error << string_compose (_("Multiple meter definitions found at %1"), prev_ms->pulse()) << endmsg;
                                                return -1;
                                        }
                                } else if ((prev_ts = dynamic_cast<TempoSection*>(*prev)) != 0 && (ts = dynamic_cast<TempoSection*>(*i)) != 0) {
-                                       if (prev_ts->start() == ts->start()) {
-                                               cerr << string_compose (_("Multiple tempo definitions found at %1"), prev_ts->start()) << endmsg;
-                                               error << string_compose (_("Multiple tempo definitions found at %1"), prev_ts->start()) << endmsg;
+                                       if (prev_ts->pulse() == ts->pulse()) {
+                                               cerr << string_compose (_("Multiple tempo definitions found at %1"), prev_ts->pulse()) << endmsg;
+                                               error << string_compose (_("Multiple tempo definitions found at %1"), prev_ts->pulse()) << endmsg;
                                                return -1;
                                        }
                                }
@@ -1835,7 +2910,7 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
                        prev = i;
                }
 
-               recompute_map (true, -1);
+               recompute_map (_metrics);
        }
 
        PropertyChanged (PropertyChange ());
@@ -1844,22 +2919,30 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 }
 
 void
-TempoMap::dump (std::ostream& o) const
+TempoMap::dump (const Metrics& metrics, std::ostream& o) const
 {
        Glib::Threads::RWLock::ReaderLock lm (lock, Glib::Threads::TRY_LOCK);
        const MeterSection* m;
        const TempoSection* t;
+       const TempoSection* prev_ts = 0;
 
        for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
 
                if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                       o << "Tempo @ " << *i << " (Bar-offset: " << t->bar_offset() << ") " << t->beats_per_minute() << " BPM (pulse = 1/" << t->note_type() << ") at " << t->start() << " frame= " << t->frame() << " (movable? "
-                         << t->movable() << ')' << endl;
+                       o << "Tempo @ " << *i << t->beats_per_minute() << " BPM (pulse = 1/" << t->note_type() << ") at " << t->pulse() << " frame= " << t->frame() << " (movable? "
+                         << t->movable() << ')' << " pos lock: " << enum_2_string (t->position_lock_style()) << std::endl;
+                       o << "current      : " << t->beats_per_minute() << " | " << t->pulse() << " | " << t->frame() << std::endl;
+                       if (prev_ts) {
+                               o << "previous     : " << prev_ts->beats_per_minute() << " | " << prev_ts->pulse() << " | " << prev_ts->frame() << std::endl;
+                               o << "calculated   : " << prev_ts->tempo_at_pulse (t->pulse()) *  prev_ts->note_type() << " | " << prev_ts->pulse_at_tempo (t->pulses_per_minute(), t->frame(), _frame_rate) <<  " | " << prev_ts->frame_at_tempo (t->pulses_per_minute(), t->pulse(), _frame_rate) << std::endl;
+                       }
+                       prev_ts = t;
                } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
                        o << "Meter @ " << *i << ' ' << m->divisions_per_bar() << '/' << m->note_divisor() << " at " << m->bbt() << " frame= " << m->frame()
-                         << " (movable? " << m->movable() << ')' << endl;
+                         << " pulse: " << m->pulse() <<  " beat : " << m->beat() << " pos lock: " << enum_2_string (m->position_lock_style()) << " (movable? " << m->movable() << ')' << endl;
                }
        }
+       o << "------" << std::endl;
 }
 
 int
@@ -1868,7 +2951,7 @@ TempoMap::n_tempos() const
        Glib::Threads::RWLock::ReaderLock lm (lock);
        int cnt = 0;
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                if (dynamic_cast<const TempoSection*>(*i) != 0) {
                        cnt++;
                }
@@ -1883,7 +2966,7 @@ TempoMap::n_meters() const
        Glib::Threads::RWLock::ReaderLock lm (lock);
        int cnt = 0;
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                if (dynamic_cast<const MeterSection*>(*i) != 0) {
                        cnt++;
                }
@@ -1897,7 +2980,7 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
 {
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
-               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                        if ((*i)->frame() >= where && (*i)->movable ()) {
                                (*i)->set_frame ((*i)->frame() + amount);
                        }
@@ -1925,7 +3008,7 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
                bool first = true;
                MetricSection* prev = 0;
 
-               for (i = metrics.begin(); i != metrics.end(); ++i) {
+               for (i = _metrics.begin(); i != _metrics.end(); ++i) {
 
                        BBT_Time bbt;
                        //TempoMetric metric (*meter, *tempo);
@@ -1934,22 +3017,31 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
                        if (prev) {
                                if (ts){
                                        if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
-                                               ts->set_start (t->start());
+                                               if (!t->active()) {
+                                                       continue;
+                                               }
+                                               ts->set_pulse (t->pulse());
                                        }
                                        if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
-                                               ts->set_start (m->start());
+                                               ts->set_pulse (m->pulse());
                                        }
                                        ts->set_frame (prev->frame());
 
                                }
                                if (ms) {
                                        if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
-                                               pair<double, BBT_Time> start = make_pair (m->start(), m->bbt());
-                                               ms->set_start (start);
+                                               pair<double, BBT_Time> start = make_pair (m->beat(), m->bbt());
+                                               ms->set_beat (start);
+                                               ms->set_pulse (m->pulse());
                                        }
                                        if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
-                                               pair<double, BBT_Time> start = make_pair (t->start(), beats_to_bbt (t->start()));
-                                               ms->set_start (start);
+                                               if (!t->active()) {
+                                                       continue;
+                                               }
+                                               const double beat = beat_at_pulse_locked (_metrics, t->pulse());
+                                               pair<double, BBT_Time> start = make_pair (beat, beats_to_bbt_locked (_metrics, beat));
+                                               ms->set_beat (start);
+                                               ms->set_pulse (t->pulse());
                                        }
                                        ms->set_frame (prev->frame());
                                }
@@ -1962,9 +3054,12 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
                        // cerr << bbt << endl;
 
                        if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
-                               t->set_start (beat_at_frame (m->frame()));
+                               if (!t->active()) {
+                                       continue;
+                               }
+                               t->set_pulse (pulse_at_frame_locked (_metrics, m->frame()));
                                tempo = t;
-                               // cerr << "NEW TEMPO, frame = " << (*i)->frame() << " start = " << (*i)->start() <<endl;
+                               // cerr << "NEW TEMPO, frame = " << (*i)->frame() << " beat = " << (*i)->pulse() <<endl;
                        } else if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
                                bbt_time (m->frame(), bbt);
 
@@ -1987,10 +3082,11 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
                                                bbt.beats = 1;
                                        }
                                }
-                               pair<double, BBT_Time> start = make_pair (beat_at_frame (m->frame()), bbt);
-                               m->set_start (start);
+                               pair<double, BBT_Time> start = make_pair (beat_at_frame_locked (_metrics, m->frame()), bbt);
+                               m->set_beat (start);
+                               m->set_pulse (pulse_at_frame_locked (_metrics, m->frame()));
                                meter = m;
-                               // cerr << "NEW METER, frame = " << (*i)->frame() << " start = " << (*i)->start() <<endl;
+                               // cerr << "NEW METER, frame = " << (*i)->frame() << " beat = " << (*i)->pulse() <<endl;
                        } else {
                                fatal << _("programming error: unhandled MetricSection type") << endmsg;
                                abort(); /*NOTREACHED*/
@@ -1999,7 +3095,7 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
                        prev = (*i);
                }
 
-               recompute_map (true);
+               recompute_map (_metrics);
        }
 
 
@@ -2018,7 +3114,7 @@ TempoMap::remove_time (framepos_t where, framecnt_t amount)
        bool meter_after = false; // is there a meter marker likewise?
        {
                Glib::Threads::RWLock::WriterLock lm (lock);
-               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
                        if ((*i)->frame() >= where && (*i)->frame() < where+amount) {
                                metric_kill_list.push_back(*i);
                                TempoSection *lt = dynamic_cast<TempoSection*> (*i);
@@ -2054,12 +3150,12 @@ TempoMap::remove_time (framepos_t where, framecnt_t amount)
 
                //remove all the remaining metrics
                for (std::list<MetricSection*>::iterator i = metric_kill_list.begin(); i != metric_kill_list.end(); ++i) {
-                       metrics.remove(*i);
+                       _metrics.remove(*i);
                        moved = true;
                }
 
                if (moved) {
-                       recompute_map (true);
+                       recompute_map (_metrics);
                }
        }
        PropertyChanged (PropertyChange ());
@@ -2086,169 +3182,25 @@ TempoMap::framepos_minus_beats (framepos_t pos, Evoral::Beats beats) const
 framepos_t
 TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
 {
-       cerr << "framepos_plus_bbt - untested" << endl;
        Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       Metrics::const_iterator i;
-       const MeterSection* meter;
-       const MeterSection* m;
-       const TempoSection* tempo;
-       const TempoSection* next_tempo = 0;
-       const TempoSection* t;
-       double frames_per_beat;
-       framepos_t effective_pos = max (pos, (framepos_t) 0);
-
-       meter = &first_meter ();
-       tempo = &first_tempo ();
-
-       assert (meter);
-       assert (tempo);
-
-       /* find the starting metrics for tempo & meter */
-
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
-
-               if ((*i)->frame() > effective_pos) {
-                       break;
-               }
-
-               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                       tempo = t;
-               } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                       meter = m;
-               }
-       }
-
-       for (i = metrics.begin(); i != metrics.end(); ++i) {
-               if ((*i)->frame() > effective_pos) {
-                       if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                               next_tempo = t;
-                       }
-                       break;
-               }
-       }
-
-       /* We now have:
-
-          meter -> the Meter for "pos"
-          tempo -> the Tempo for "pos"
-          next_tempo -> the Tempo after "pos" or 0
-          i     -> for first new metric after "pos", possibly metrics.end()
-       */
-
-       /* now comes the complicated part. we have to add one beat a time,
-          checking for a new metric on every beat.
-       */
-
-       uint64_t bars = 0;
-       /* fpb is used for constant tempo */
-       frames_per_beat = tempo->frames_per_beat (_frame_rate);
-
-       while (op.bars) {
-
-               bars++;
-               op.bars--;
-
-               /* check if we need to use a new metric section: has adding frames moved us
-                  to or after the start of the next metric section? in which case, use it.
-               */
-
-               if (i != metrics.end()) {
-                       if ((*i)->frame() <= pos) {
-
-                               /* about to change tempo or meter, so add the
-                                * number of frames for the bars we've just
-                                * traversed before we change the
-                                * frames_per_beat value.
-                                */
-
-                               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                                       next_tempo = t;
-                               }
-
-                               if (next_tempo) {
-                                       pos += tempo->frame_at_beat (bars * meter->divisions_per_bar(), next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
-                               } else {
-                                       pos += llrint (frames_per_beat * (bars * meter->divisions_per_bar()));
-                               }
-
-                               bars = 0;
-
-                               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                                       tempo = t;
-                               } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                                       meter = m;
-                               }
-                               ++i;
-                               frames_per_beat = tempo->frames_per_beat (_frame_rate);
-                       }
-               }
-
-       }
-
-       if (next_tempo) {
-               pos += tempo->frame_at_beat (bars * meter->divisions_per_bar(), next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
-       } else {
-               pos += llrint (frames_per_beat * (bars * meter->divisions_per_bar()));
-       }
-
-       uint64_t beats = 0;
-
-       while (op.beats) {
-
-               /* given the current meter, have we gone past the end of the bar ? */
-
-               beats++;
-               op.beats--;
-
-               /* check if we need to use a new metric section: has adding frames moved us
-                  to or after the start of the next metric section? in which case, use it.
-               */
-
-               if (i != metrics.end()) {
-                       if ((*i)->frame() <= pos) {
-
-                               /* about to change tempo or meter, so add the
-                                * number of frames for the beats we've just
-                                * traversed before we change the
-                                * frames_per_beat value.
-                                */
-
-                               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                                       next_tempo = t;
-                               }
-
-                               if (next_tempo) {
-                                       pos += tempo->frame_at_beat (beats, next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
-                               } else {
-                                       pos += llrint (beats * frames_per_beat);
-                               }
-
-                               beats = 0;
-
-                               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                                       tempo = t;
-                               } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                                       meter = m;
-                               }
-                               ++i;
-                               frames_per_beat = tempo->frames_per_beat (_frame_rate);
-                       }
-               }
-       }
-
-       if (next_tempo) {
-               pos += tempo->frame_at_beat (beats, next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
-       } else {
-               pos += llrint (beats * frames_per_beat);
+       BBT_Time pos_bbt = beats_to_bbt_locked (_metrics, beat_at_frame_locked (_metrics, pos));
+       pos_bbt.ticks += op.ticks;
+       if (pos_bbt.ticks >= BBT_Time::ticks_per_beat) {
+               ++pos_bbt.beats;
+               pos_bbt.ticks -= BBT_Time::ticks_per_beat;
        }
-
-       if (op.ticks) {
-               pos += tempo->frame_at_tick (op.ticks, next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
+       pos_bbt.beats += op.beats;
+       /* the meter in effect will start on the bar */
+       double divisions_per_bar = meter_section_at (bbt_to_beats_locked (_metrics, BBT_Time (pos_bbt.bars + op.bars, 1, 0))).divisions_per_bar();
+       while (pos_bbt.beats >= divisions_per_bar + 1) {
+               ++pos_bbt.bars;
+               divisions_per_bar = meter_section_at (bbt_to_beats_locked (_metrics, BBT_Time (pos_bbt.bars + op.bars, 1, 0))).divisions_per_bar();
+               pos_bbt.beats -= divisions_per_bar;
        }
+       pos_bbt.bars += op.bars;
 
-       return pos;
-
+       return frame_time_locked (_metrics, pos_bbt);
 }
 
 /** Count the number of beats that are equivalent to distance when going forward,
@@ -2257,7 +3209,7 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
 Evoral::Beats
 TempoMap::framewalk_to_beats (framepos_t pos, framecnt_t distance) const
 {
-       return Evoral::Beats(beat_at_frame (pos + distance) - beat_at_frame (pos));
+       return Evoral::Beats (beat_at_frame (pos + distance) - beat_at_frame (pos));
 }
 
 struct bbtcmp {
@@ -2287,7 +3239,7 @@ operator<< (std::ostream& o, const MetricSection& section) {
        if ((ts = dynamic_cast<const TempoSection*> (&section)) != 0) {
                o << *((const Tempo*) ts);
        } else if ((ms = dynamic_cast<const MeterSection*> (&section)) != 0) {
-               //o << *((const Meter*) ms);
+               o << *((const Meter*) ms);
        }
 
        return o;