need a pun here about music and cryptography
Given a piece of music written for just intonation, clearly you could derive another piece by replacing all factors of 3 with factors of 5 and vice versa (or pick some other pair of primes). Sometimes the result might even be good.
Perhaps a transform which has a better chance of sounding cogent is to replace factors of 5 by 24/5.
My friend Herman Miller has a bunch of these factorisation-linear transformations of Pachelbel’s canon at https://www.prismnet.com/~hmiller/music/warped-canon.html , ranging for me from good to pretty incomprehensible.