Generator: Difference between revisions

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 In [[rank|multirank]] systems, it is customary that generators are said as opposed to the period. Specifically, the first generator is called the period, and only the rest are called the generators.
-Combined with another convention, canonicalizing the [[Domain basis #Canonical form|domain basis]] and the [[Normal lists|val list]], the result is usually a period of 2/1 or fraction of 2/1. If you want a nonoctave (3/1, 3/2, 7/4, ...) scale, let's break one of the conventions. Not canonicalize the domain basis, or do [[generator form manipulation]], or directly make nonoctave scale from canonical form mapping.
+Combined with another convention that both [[JI subgroup]]s and [[Mapping|temperament mappings]] are documented in the [[canonical form]], temperaments commonly have a period of the [[octave]] or a fraction thereof. That, however, does not stop one from creating non-octave scales or expressing the same system in terms of other bases through [[generator form manipulation]].
 == See also ==