Ternary scale properties

This microtonal theory calculator is about ternary scales, scales with three step sizes. It specializes in aberrismic theory, developed by groundfault, inthar, and others.

Made by inthar. The source code is available on GitHub.

Equave (as a JI ratio "m/n"; default 2/1):

Max ED size: Min s (cents): Max s (cents):

Enter a specific ternary scale word, without spaces, using L, m, and s (use lowercase m for medium):

Enter the numbers of step sizes as steps get smaller, as positive numbers separated by spaces. For example, "3 2 2" means 3L2m2s.

MOS substitution scales only All scales (warning: slow for large inputs)

filtering for monotone MOS properties
L = m
m = s
s = 0 (required for aberrismic theory)

For the following 2 filtering options, use 0 in the box for no filtering.

guided generator sequence of length exactly at most

maximum variety exactly at most

Results appear below