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Is there a logic to why, for example, a composer would choose 3/8 or 3/2 over 3/4?
It seems like the n/8 would consume more ink than n/4, or make me look at more stuff at a time (cognitive overload for me). The larger the denominator, the more cramped the score looks.
I see a lot of adagio music with 32nd and even 64th notes, and they are actually slow. Why not write them in n/4. Yes, it'll result in more pages, but I think it will be easier on my eyes?
I also see hollow notes that are supposed to be relatively fast, pieces in n/2 or even n/1. That's tough to read because you'll end up with fast quarter notes that are not beamed in groups of 3, 4, or 6. Why would a composer or engraver want to do this?
If I were to hear something for the first time, I would be shocked to find out that the time signature is something like 12/2 or 4/16.
So tell me, what circumstances would call for 3/8 and not 3/4? 4/2 and not 4/4? Tell me if it's just perspective and that the performer just has to suck it up.