That is not likely a possibility for the OP. He is looking to find exact tempo numbers it seems. Average numbers don't work ever in the world of actual tempo in digital recording.
Well that's the thing....BPM is an "old school" thing, not a DAW thing.
I know you know this stuff, so I'm really responding back to the OP....
If BPM varies throughout a song and you do some DAW math calculations for every change, you then end up with some weird "133,34" number. Now....it may be that there's other things going on with the track/tempo/DAW settings...which makes these things more confusing, though not what I was responding to. My answer is about how to get your BPM for a song, not so much about unraveling any DAW/track issues that may be going on.
BPM was/is never about what's happening in measure 34 VS measure 42...etc......it's the
Beats Per Minute of a song....it was always an average number, long before DAWs allowed for these changing micro BPM spot calculations.
It's the overall tempo of the song...aka the average.
If you use an "old school" metronome, it lets you set one BPM....yet you can speed up and slow down throughout the whole song, and it's still going to have a single average BPM.
I guess there are now "different" ways to look at it (not sure why), but for my use, the only value of BPM is still the average number for the whole song. IOW, if I slow down in the first minute, and speed up a bit in the second....I'm not going to show two BPM values or some weird "133,34" number for the song....it's still going to be the average, and my DAW sets/shows BPM in one place, one value regardless of how many breaks there are in the track, it doesn't change the BPM. Not saying you can't force BPM chnages for every section of track...just not seeing the value of doing that to get some *exact* BPM with fractions/ticks...?
YMMV....
Or if a song is 120 bpm and then it has a couple of slower drum parts - would the overall bpm of the tune not be affected?
This was my point....BMP is not a *sum* of beats during a single minute, it is the "overall" BPM of a song....as in the average.
Again, not saying you can't do a song with changing tempo....just saying that calculations for overall BPM in fractions is a DAW thing, and pre-DAW you would simply count the beats for the whole song, divide by time elapsed...and get your "overall" BPM for the song....which is why pre-DAW no one ever concerned themselves about BPM fractions, and why simple wind-up metronomes still work just fine to give you the overall BPM number....or using your foot and the clock.