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 a fixed number | # All the combinations of a fixed number of intervals from the set are obtained, and each combination of intervals is stacked together. | ||
# 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 elements are octave-reduced. | # The resulting elements are octave-reduced. | ||
Revision as of 06:04, 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 a fixed number of intervals from the set are obtained, and each combination of intervals is stacked together.
- This results in a bunch of notes. One note is chosen as the tonic.
- The resulting elements are octave-reduced.
CPSes were developed by Erv Wilson.
