Meantone family: Difference between revisions
→Squares: cleanup and +squad (13-limit extension 14cf & 17c) |
→Squares: move some info to the main article |
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== Squares == | == Squares == | ||
{{Main| Squares }} | |||
Squares splits the interval of an eleventh, or 8/3, into four supermajor third ([[9/7]]) intervals, and uses it for a generator. [[31edo|31EDO]], with a generator of 11/31, makes for a good squares tuning, with 8, 11, and 14 note MOS available. Squares tempers out [[2401/2400]], the breedsma, as well as [[2430/2401]]. | Squares splits the interval of an eleventh, or 8/3, into four supermajor third ([[9/7]]) intervals, and uses it for a generator. [[31edo|31EDO]], with a generator of 11/31, makes for a good squares tuning, with 8, 11, and 14 note MOS available. Squares tempers out [[2401/2400]], the breedsma, as well as [[2430/2401]]. | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* 7- and 9-odd-limit: ~9/7 = {{ | * [[7-odd-limit|7-]] and [[9-odd-limit]]: ~9/7 = {{monzo| 1/2 0 -1/16 }} | ||
: [{{ | : [{{monzo| 1 0 0 0 }}, {{monzo| 1 0 1/4 0 }}, {{monzo| 0 0 1 0 }}, {{monzo| 3/2 0 9/16 0 }}] | ||
: [[Eigenmonzo]]s (unchanged intervals): 2, 5 | : [[Eigenmonzo]]s (unchanged intervals): 2, 5 | ||
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Scales: [[skwares8]], [[skwares11]], [[skwares14]] | Scales: [[skwares8]], [[skwares11]], [[skwares14]] | ||
=== 11-limit === | === 11-limit === | ||