Vishnuzmic family: Difference between revisions
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The '''vishnuzmic family''' of temperaments tempers out the [[vishnuzma]], {{Monzo| 23 6 -14 }} = 6115295232/6103515625, a [[5-limit]] comma of about 3 cents. It is the amount by which seven just chromatic semitones of [[25/24]] fall short of a just perfect fourth of [[4/3]], or in other words (4/3)/(25/24)^7. | The '''vishnuzmic family''' of temperaments tempers out the [[vishnuzma]], {{Monzo| 23 6 -14 }} = 6115295232/6103515625, a [[5-limit]] comma of about 3 cents. It is the amount by which seven just chromatic semitones of [[25/24]] fall short of a just perfect fourth of [[4/3]], or in other words (4/3)/(25/24)^7. | ||
= Vishnuzmic = | == Vishnuzmic == | ||
[[Comma]]: 6115295232/6103515625 | [[Comma]]: 6115295232/6103515625 | ||
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[[Badness]]: 0.031181 | [[Badness]]: 0.031181 | ||
= Vishnu = | == Vishnu == | ||
[[Comma list]]: 4375/4374, 29360128/29296875 | [[Comma list]]: 4375/4374, 29360128/29296875 | ||
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[[Badness]]: 0.041912 | [[Badness]]: 0.041912 | ||
== 11-limit == | === 11-limit === | ||
Comma list: 3025/3024, 4375/4374, 5632/5625 | Comma list: 3025/3024, 4375/4374, 5632/5625 | ||
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Badness: 0.014180 | Badness: 0.014180 | ||
=== Ananta === | ==== Ananta ==== | ||
Comma list: 1001/1000, 3025/3024, 4096/4095, 4375/4374 | Comma list: 1001/1000, 3025/3024, 4096/4095, 4375/4374 | ||
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Badness: 0.023678 | Badness: 0.023678 | ||
=== Acyuta === | ==== Acyuta ==== | ||
Comma list: 1716/1715, 2080/2079, 3025/3024, 5632/5625 | Comma list: 1716/1715, 2080/2079, 3025/3024, 5632/5625 | ||
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Badness: 0.015805 | Badness: 0.015805 | ||
= Quarvish = | == Quarvish == | ||
[[Comma list]]: 2401/2400, 6115295232/6103515625 | [[Comma list]]: 2401/2400, 6115295232/6103515625 | ||
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Badness: 0.045029 | Badness: 0.045029 | ||
== 11-limit == | === 11-limit === | ||
Comma list: 2401/2400, 9801/9800, 172032/171875 | Comma list: 2401/2400, 9801/9800, 172032/171875 | ||
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Badness: 0.019868 | Badness: 0.019868 | ||
= Decavish = | == Decavish == | ||
The ''decavish'' temperament (50&270, named by [[User:Xenllium|Xenllium]]) tempers out the wizma, {{monzo|-6 -8 2 5}} = 420175/419904 and the [[15/14ths equal temperament|linus comma]], {{monzo|11 -10 -10 10}} = 578509309952/576650390625. | The ''decavish'' temperament (50&270, named by [[User:Xenllium|Xenllium]]) tempers out the wizma, {{monzo|-6 -8 2 5}} = 420175/419904 and the [[15/14ths equal temperament|linus comma]], {{monzo|11 -10 -10 10}} = 578509309952/576650390625. | ||
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[[Badness]]: 0.114531 | [[Badness]]: 0.114531 | ||
== 11-limit == | === 11-limit === | ||
Comma list: 9801/9800, 41503/41472, 172032/171875 | Comma list: 9801/9800, 41503/41472, 172032/171875 | ||
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Badness: 0.036938 | Badness: 0.036938 | ||
== 13-limit == | === 13-limit === | ||
Comma list: 1001/1000, 4225/4224, 4459/4455, 6656/6655 | Comma list: 1001/1000, 4225/4224, 4459/4455, 6656/6655 | ||