MOS scale: Difference between revisions
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* Every MOS scale has two ''child MOS'' scales. The two children of the MOS scale aL bs are (a + b)L as (generated by generators of soft-of-basic aLbs) and aL (a + b)s (generated by generators of hard-of-basic aLbs). | * Every MOS scale has two ''child MOS'' scales. The two children of the MOS scale aL bs are (a + b)L as (generated by generators of soft-of-basic aLbs) and aL (a + b)s (generated by generators of hard-of-basic aLbs). | ||
* Every MOS scale (with a specified [[equave]] ''E''), excluding aL as⟨''E''⟩, has a ''parent MOS''. If a > b, the parent of aL bs is min(a, b)L|a − b|s; if a < b, the parent of aL bs is |a − b|L min(a, b)s. | * Every MOS scale (with a specified [[equave]] ''E''), excluding aL as⟨''E''⟩, has a ''parent MOS''. If a > b, the parent of aL bs is min(a, b)L|a − b|s; if a < b, the parent of aL bs is |a − b|L min(a, b)s. | ||
=== Advanced discussion === | === Advanced discussion === | ||
See: | See: | ||
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* [[MOS Diagrams]], visualizations of the MOS process. | * [[MOS Diagrams]], visualizations of the MOS process. | ||
* [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]] | * [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]] | ||
== Characterizations == | |||
Here are several equivalent characterizations of MOS scales: | |||
* Maximum variety 2 | |||
* Binary and has a generator | |||
* Binary and distributionally even | |||
== Variations == | == Variations == | ||