\documentclass{article} \begin{document} Here is what resampling we need to do. Content video is at $C_V$ fps, audio at $C_A$. \section{Easy case 1} $C_V$ and $C_A$ are both DCI rates, e.g.\ if $C_V = 24$, $C_A = 48\times{}10^3$. \medskip \textbf{Nothing to do.} \section{Easy case 2} $C_V$ is a DCI rate, $C_A$ is not. e.g.\ if $C_V = 24$, $C_A = 44.1\times{}10^3$. \medskip \textbf{Resample $C_A$ to the DCI rate.} \section{Hard case 1} $C_V$ is not a DCI rate, $C_A$ is, e.g.\ if $C_V = 25$, $C_A = 48\times{}10^3$. We will run the video at a nearby DCI rate $F_V$, meaning that it will run faster or slower than it should. We resample the audio to $C_V C_A / F_V$ and mark it as $C_A$ so that it, too, runs faster or slower by the corresponding factor. e.g.\ if $C_V = 25$, $F_V = 24$ and $C_A = 48\times{}10^3$, we resample audio to $25 * 48\times{}10^3 / 24 = 50\times{}10^3$. \medskip \textbf{Resample $C_A$ to $C_V C_A / F_V$} \end{document}