Meansquared: Difference between revisions
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CompactStar (talk | contribs) Created page with "{{Stub}} '''Meansquared''' is a nonoctave regular temperament repeating at 4/1 based on a chain of tempered 9/4 major ninths. It tempers out 6561/6400 (or..." |
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'''Meansquared''' is a [[nonoctave]] [[regular temperament]] repeating at [[4/1]] based on a chain of tempered [[9/4]] major ninths. It tempers out [[6561/6400]] (or [[81/80]]<sup>2</sup>) in the 4.9.25 subgroup. This temperament is the precise stretching of [[meantone]] temperament by a factor of 2. The name was first coined by [[User:CompactStar|CompactStar]]. Meansquared in the 4.9.25 subgroup is an [[insane]] restriction of | '''Meansquared''' is a [[nonoctave]] [[regular temperament]] repeating at [[4/1]] based on a chain of tempered [[9/4]] major ninths. It tempers out [[6561/6400]] (or [[81/80]]<sup>2</sup>) in the 4.9.25 subgroup. This temperament is the precise stretching of [[meantone]] temperament by a factor of 2. The name was first coined by [[User:CompactStar|CompactStar]]. Meansquared in the 4.9.25 subgroup is an [[sane and insane temperaments|insane]] restriction of 4.9.5 subgroup meantone, because it includes the interval of [[100/81]]~[[81/64]] which is effectively [[5/4]]. | ||
Revision as of 10:06, 3 January 2024
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Meansquared is a nonoctave regular temperament repeating at 4/1 based on a chain of tempered 9/4 major ninths. It tempers out 6561/6400 (or 81/802) in the 4.9.25 subgroup. This temperament is the precise stretching of meantone temperament by a factor of 2. The name was first coined by CompactStar. Meansquared in the 4.9.25 subgroup is an insane restriction of 4.9.5 subgroup meantone, because it includes the interval of 100/81~81/64 which is effectively 5/4.