Combination product set: Difference between revisions
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# The resulting elements are octave-reduced and sorted in ascending order, resulting in an octave period of a periodic scale (the usual sort of scale, in other words) which we may call CPS(S, k). | # The resulting elements are octave-reduced and sorted in ascending order, resulting in an octave period of a periodic scale (the usual sort of scale, in other words) which we may call CPS(S, k). | ||
[[Category:Scale | [[Category:Scale construction]] | ||
Revision as of 05:50, 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 S of n intervals is the starting point.
- All the combinations of k elements of the set are obtained, and each combination is stacked together.
- These are combined into a set, and then one element of that set is chosen as the tonic.
- The resulting elements are octave-reduced and sorted in ascending order, resulting in an octave period of a periodic scale (the usual sort of scale, in other words) which we may call CPS(S, k).
