Beat/Grid division with triplets
Hey all.
I'm working on some tempo-sync effects and looking for a nice way to include triplets in my beat division multiplier.
For example, if I want to sync to 1/4 note, 1/8 note, 1/16 note, 1/32, etc, it's really easy to just follow the power-of-two scale: 1/pow(2, i) where i is perhaps a number input on the user interface with a range [0, 5], and the result of the computation is fed into `rate~` to adjust the output of `sync~`. Wiring that up in Max is obviously very straight forward.
My question is, do any of you have any clever trick or clean abstraction for including 1/3, 1/6, 1/12th notes in that scale? So far, the best I've come up with is manually placing all of the divisions in a list and banging the `nth` item out of the list.
Apologies if there's another post detailing this, I couldn't find a great way to formulate that search. Thanks!
Does 3*(2^(n-1)) satisfy?
Thanks Christopher! That does indeed give me the triplet divisions I'm looking for, but the last piece is interleaving the two so that a single knob turn could cover all of the available divisions: 1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, etc. That's where I'm stuck currently
You can do various arithmetic shenanigans, but really a simple lookup is probably easier. The umenu object works well for that.