Kite's Genchain mode numbering: Difference between revisions

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 == Generalization to temperament-agnostic MOS scales ==
-[https://en.xen.wiki/w/Category:Abstract_MOS_patterns Abstract MOS patterns] like 5L 3s are not specific temperaments in which specific commas vanish. Thus there are no ratios other than the octave 2/1 (or more generally the equave 3/1 or whatever). Genchain mode numbers can be applied to these patterns. For example, 5L 3s has a generator in the 450-480¢ range. The "[8]" is redundant, so we drop it to get
+[[:Category:Abstract MOS patterns|Abstract MOS patterns]] like 5L 3s are not specific temperaments in which specific commas vanish. Thus there are no ratios other than the octave 2/1 (or more generally the equave 3/1 or whatever). Genchain mode numbers can be applied to these patterns. For example, 5L 3s has a generator in the 450-480¢ range. The "[8]" is redundant, so we drop it to get
 * 1st 5L 3s = LLsLLsLs
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 * etc.
-in this context, when no specific temperament is named, the choice of generator follows slightly different rules. Prioritizing 3/2 over 4/3 doesn't make any sense, because the generator doesn't have an actual ratio. Thus while Meantone[7]'s generator is 3/2, i.e. a 5th, 5L 2s's generator is in the 480-514¢ range, i.e. a 4th.
+In this context, when no specific temperament is named, the choice of generator follows slightly different rules. Prioritizing 3/2 over 4/3 doesn't make any sense, because the generator doesn't have an actual ratio. Thus while Meantone[7]'s generator is 3/2, i.e. a 5th, 5L 2s's generator is in the 480-514¢ range, i.e. a 4th.
 == Rationale ==