Generator-offset property: Difference between revisions
| Line 222: | Line 222: | ||
==== Conjecture 1 ==== | ==== Conjecture 1 ==== | ||
If a 3-step size scale word that is ''a''x ''b''y ''c''z is | If a 3-step size scale word that is ''a''x ''b''y ''c''z is | ||
# abstractly SV3 (strict variety 3, i.e. every k-step except multiples of the equave comes in ''exactly'' 3 sizes, for almost all tunings), | # abstractly SV3 (strict variety 3, i.e. every ''k''-step except multiples of the equave comes in ''exactly'' 3 sizes, for almost all tunings), | ||
# has ''odd'' length, | # has ''odd'' length, | ||
# has gcd(''a'', ''b'', ''c'') = 1, | # has gcd(''a'', ''b'', ''c'') = 1, | ||