Horwell temperaments: Difference between revisions
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Horwell temperaments temper out the horwell comma, |-16 1 5 1> = 65625/65536. | Horwell temperaments temper out the horwell comma, |-16 1 5 1> = 65625/65536. | ||
Discussed elsewhere are [[Kleismic family|countercata]], [[Mirkwai clan|eris]], [[Escapade family|escaped]], [[Hemimean clan|hemithirds]], [[Diaschismic family|keen]], [[Semicomma family|orwell]], [[Schismatic family|pontiac]], [[Breedsmic temperaments|tertiaseptal]], and [[Würschmidt family|worschmidt]]. | Discussed elsewhere are [[Hemimage temperaments|bisupermajor]], [[Kleismic family|countercata]], [[Mirkwai clan|eris]], [[Escapade family|escaped]], [[Hemimean clan|hemithirds]], [[Diaschismic family|keen]], [[Semicomma family|orwell]], [[Schismatic family|pontiac]], [[Breedsmic temperaments|tertiaseptal]], and [[Würschmidt family|worschmidt]]. | ||
= Mutt = | = Mutt = | ||
{{Main|Mutt temperament}} | {{Main|Mutt temperament}} | ||
[[Comma list]]: {{monzo| -44 -3 21 }} | [[Comma list]]: {{monzo| -44 -3 21 }} | ||
[[Mapping]]: [<3 5 7|, <0 -7 -1|] | [[Mapping]]: [<3 5 7|, <0 -7 -1|] | ||
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== 11-limit == | == 11-limit == | ||
Comma list: 441/440, 4375/4356, 16384/16335 | Comma list: 441/440, 4375/4356, 16384/16335 | ||
POTE generator: ~5/4 = 386.020 | |||
Mapping: [<3 5 7 8 10|, <0 -7 -1 12 11|] | Mapping: [<3 5 7 8 10|, <0 -7 -1 12 11|] | ||
Vals: {{Val list| 84, 87, 171, 258, 429e }} | Vals: {{Val list| 84, 87, 171, 258, 429e }} | ||
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== 13-limit == | == 13-limit == | ||
Comma list: 364/363, 441/440, 625/624, 2200/2197 | Comma list: 364/363, 441/440, 625/624, 2200/2197 | ||
POTE generator: ~5/4 = 386.022 | |||
Mapping: [<3 5 7 8 10 11|, <0 -7 -1 12 11 3|] | Mapping: [<3 5 7 8 10 11|, <0 -7 -1 12 11 3|] | ||
Vals: {{Val list| 84, 87, 171, 258, 429ef }} | Vals: {{Val list| 84, 87, 171, 258, 429ef }} | ||