Kite's Genchain mode numbering: Difference between revisions
m Fredg999 moved page Kite's Method of Naming Rank-2 Scales using Mode Numbers to Genchain mode numbering: The system was renamed (see latest edit summary) |
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|vF# * vG# vD# vA# * vB# | |vF# * vG# vD# vA# * vB# | ||
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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 | |||
* 1st 5L 3s = LLsLLsLs | |||
* 2nd 5L 3s = LLsLsLLs | |||
* 3rd 5L 3s = LsLLsLLs | |||
* etc. | |||
The modes of the sister MOS 3L 5s are the same, just exchange L and s: | |||
* 1st 3s 5L = ssLssLsL | |||
* 2nd 3s 5L = ssLsLssL | |||
* 3rd 3s 5L = sLssLssL | |||
* 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. | |||
== Rationale == | == Rationale == | ||