Combination product set

This is an expert page. It either assumes experience with xen theory or involves fairly technical procedures.

A combination product set (CPS) is a scale generated by the following procedure:

1. A set of chosen intervals (usually odd harmonics) is the starting point.
2. All the combinations of some number of intervals from the set are obtained, and each combination of intervals is stacked together. The same number of intervals is used for every combination.
3. This results in a bunch of notes. One note is chosen as the tonic.
4. The resulting intervals relative to the tonic are octave-reduced.

CPSes were developed by Erv Wilson.