Combination product set: Difference between revisions
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# A set of chosen intervals (usually odd harmonics) is the starting point. | # A set of chosen intervals (usually odd harmonics) is the starting point. | ||
# All the combinations of | # 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. | ||
# This results in a bunch of notes. One note is chosen as the tonic. | # This results in a bunch of notes. One note is chosen as the tonic. | ||
# The resulting intervals relative to the tonic are octave-reduced. | # The resulting intervals relative to the tonic are octave-reduced. | ||
Revision as of 06:10, 23 December 2025
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:
- A set of chosen intervals (usually odd harmonics) is the starting point.
- 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.
- This results in a bunch of notes. One note is chosen as the tonic.
- The resulting intervals relative to the tonic are octave-reduced.
CPSes were developed by Erv Wilson.
