[seqfan] XronoMorph - Overlaid polygons and music

Charles Greathouse charles.greathouse at case.edu
Tue Jul 19 06:33:01 CEST 2016

I found an interesting article:

It discusses music generated from fairly simple mathematical structures:
(small) subsets of the vertices of a polygon. Each subset is displayed as a
polygon of a different color.

>From the article: "There are more than 17 trillion different rhythms, and
that is only counting rhythms with three levels where every beat occurs at
one of 16 distinct time locations (16 being a very common temporal
subdivision in music)."

I'm trying to figure out how this number is computed. I've tried a few
different ways but none are close enough. binomial(2^16, 3) is too big, but
reducing it by circular shift makes it a bit more than 1/16th the size
which is too small. Any ideas? (I assume that by "more than 17 trillion"
they mean between 17e12 and 18e12.)

Charles Greathouse
Case Western Reserve University

More information about the SeqFan mailing list