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 means:

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

CPSes were developed by Erv Wilson.