Maybe this confussion comes from the fact that when you create a new session or project in your DAW, you basically set three things: sampling rate, bit depth and frame rate. So it feels like the audio that is going to be inside is going to have those three intrinsic values. But that is not the case with frame rate. In the context of the session, frame rate is only telling your DAW how to divide a second. Into 24 slices? That would be 24 fps. Into 60 slices? That´s 60 fps.
In this manner, when you bring your video into your DAW, the video´s burnt in timecode and your DAW’s timecode will be perfectly in sync but all of this will change nothing about the duration or quality of the audio within the session.
So, in summary, an audio file only has an associated frame rate in the context of the video it was recorded with or to but this is not an intrinsic charactheristic of this audio file and cannot be determined without the corresponding video.
Changing Frame Rate
A frame rate change is usually needed when the medium (cinema, TV, digital…) or the region changes. There are two basic ways of doing this. One of them is able to do it without changing the final duration of the film, usually by re-distributing, duplicating or deleting frames to accomodate the new frame rate. I won’t go into details on these methods partly because they are quite complex but mostly because if the lenght of the final picture is not changed, we don´t need to do anything to the audio. It will be in sync anyway.
Think about this for a second. We have changed the frame rate of the video but, as long as the final leght is the same, our audio is still in sync which kind of shows you that audio has no intrinsic frame rate value. Disclaimer: This will be true as long as the audio and film are kept separated. If audio and picture are on the same celluloid and then you start moving frames around, obviously you are going to mess up the audio but in our current digital age we don’t need to worry about this.
The second method is the one that concern us. This is, when the lenght of the picture is actually changed. This happens because this is the easiest way to fix the frame rate difference, specially if it is not very big.
Telecine. How video frame rate affects audio.
Let´s use the Telecine case as an example. Telecine is the process of transfering a old fashion analogue film into video. This is not always the case but this usually also implies a change in frame rate. As we saw earlier, films are traditionally shot at 24 fps. If we want to broadcast this film in european television, which uses the PAL system at 25 fps, we would need to go from 24 to 25 fps.
The easiest way to do this is just play the original film 4% faster. The pictures will look faster and the movie will finish earlier but the difference would be tolerable. Also, if you can show the same movie in less time in TV that gives you more time for commercials, so win, win.
What are the drawbacks? First, showing the pictures a 4% faster may be tolerable but is not ideal and can be noticeable in quick action sequences. Second and more importantly, now our audio will be out of sync. We can always fix this by also playing the audio a 4% faster (and this would traditionally be the case since audio and picture were embed in the same film) but in this case, the pitch will be increased by 0.68 semitones.
In the digital realm, we can achieve this by simply playing the audio at a different rate that was recorded. This would be the digital equivalent to just cranking the projector faster. Remember before when I said that an audio file will always be the same leght if it is played at the same saple rate as recorded? This is when this becomes relevant. As you can see below, if we play a 48 KHz file at 50 KHz, we would get the same speed up effect that a change from 24 to 25 fps provides.
This would solve our sync problems, but as we were saying, it would increase the final pitch of the audio by about 0.68 semitones.