Hi Dee,
I just happened to run into a thread on LPH where I posted about this back in 2007. Quoted below, slightly abridged from my original posting.
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You can work on a film at the 23.976 frame rate in Logic (7) to the following extent:
1. You will not be able to get Logic's timecode counter and the movie's timecode burn to match for more than 43 seconds (approximately) from any point where you attempt to get Logic's t/c counter to agree with picture's timecode burn. This assumes that Logic's frame rate is set to 24 fps.
2. When you deliver cues, you will not be able to use Logic's timecode counter to provide accurate information as to where to trim audio files with respect to picture, or for providing the music editor with in/out points for each cue you write. Instead, you will have to trim your cues (and/or pop your files) according to the picture's timecode burn, ignoring Logic's t/c counter entirely.
There is one exception: when trimming audio files, or setting points to pop cues, you need to make adjustments to Logic's SMPTE bits counter to position the SPL to the +leading edge+ of whatever frame you're targeting in the picture. Otherwise your audio can be as much as 1 frame off from where it should be. (Post back if you want details)
3. All of Logic's tempo based functions will work as usual, but you will not be able to go by any timecode numbers that Logic displays with respect to these tempo functions (tempo list, tempo interpreter, SMPTE display of note position, etc.).
Ultimately, Logic's frame rate setting does not influence sync, i.e., having Logic set to the "wrong" frame rate will not affect your sync to picture. This is because Logic doesn't "drive" the playback speed of the QT movie.
I scored my last 23.976 film where some of my song files were set to 24 fps and others at 29.97 nd, and neither one offered me any advantage in terms of working with timecode. I had to do everything referencing the picture's timecode burn. In some respects...it made life absolutely miserable that I couldn't perform certain operations based on Logic's t/c display.
Depending on your method of working to picture, the lack of 23.976 frame rate may or may not get in your way. One thing is for sure... it should not prevent you from composing to picture or have to worry about sync. The sync you see/hear is the sync you get when you deliver cues.
One last word: in general, but particularly with 23.976 footage, I'd strongly suggest working with Contiguous Sync switched off.