Wesley family: Difference between revisions
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This tempers out the wesley comma, 78125/73728. The wesley comma is unchanged in Wesley Woolhouse's 7/26-comma meantone - it is an eigenmonzo, in other words. | This tempers out the wesley comma, 78125/73728. The wesley comma is unchanged in Wesley Woolhouse's 7/26-comma meantone - it is an eigenmonzo, in other words. Here is [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12793.html a talk by Gene Ward Smith]. | ||
== Wesley == | == Wesley == | ||
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[[Comma]]: 78125/73728 | [[Comma]]: 78125/73728 | ||
[[Mapping]]: [{{ | [[Mapping]]: [{{val| 1 4 3 }}, {{val| 0 -7 -2 }}] | ||
[[POTE generator]]: ~125/96 = 414.509 | [[POTE generator]]: ~125/96 = 414.509 | ||
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[[Badness]]: 0.247718 | [[Badness]]: 0.247718 | ||
== | == Septimal wesley == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
[[Comma list]]: 405/392, 875/864 | [[Comma list]]: 405/392, 875/864 | ||
[[Mapping]]: [{{ | [[Mapping]]: [{{val| 1 4 3 8 }}, {{val| 0 -7 -2 -15 }}] | ||
{{Multival|legend=1|7 2 15 -13 4 29}} | {{Multival|legend=1|7 2 15 -13 4 29}} | ||
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Comma list: 45/44, 99/98, 875/864 | Comma list: 45/44, 99/98, 875/864 | ||
Mapping: [{{ | Mapping: [{{val| 1 4 3 8 9 }}, {{val| 0 -7 -2 -15 -16 }}] | ||
POTE generator: ~9/7 = 415.769 | POTE generator: ~9/7 = 415.769 | ||
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Comma list: 45/44, 78/77, 99/98, 325/324 | Comma list: 45/44, 78/77, 99/98, 325/324 | ||
Mapping: [{{ | Mapping: [{{val| 1 4 3 8 9 12 }}, {{val| 0 -7 -2 -15 -16 -24 }}] | ||
POTE generator: ~9/7 = 415.645 | POTE generator: ~9/7 = 415.645 | ||
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[[Comma list]]: 225/224, 6125/5832 | [[Comma list]]: 225/224, 6125/5832 | ||
[[Mapping]]: [{{ | [[Mapping]]: [{{val| 1 4 3 9 }}, {{val| 0 -7 -2 -18 }}] | ||
{{Multival|legend=1|7 2 18 -13 9 36}} | {{Multival|legend=1|7 2 18 -13 9 36}} | ||
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[[Comma list]]: 525/512, 3125/3024 | [[Comma list]]: 525/512, 3125/3024 | ||
[[Mapping]]: [{{ | [[Mapping]]: [{{val| 1 4 3 -1 }}, {{val| 0 -7 -2 11 }}] | ||
{{Multival|legend=1|7 2 -11 -13 -37 -31}} | {{Multival|legend=1|7 2 -11 -13 -37 -31}} | ||
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Comma list: 100/99, 245/242, 525/512 | Comma list: 100/99, 245/242, 525/512 | ||
Mapping: [{{ | Mapping: [{{val| 1 4 3 -1 0 }}, {{val| 0 -7 -2 11 10 }}] | ||
POTE generator: ~14/11 = 414.471 | POTE generator: ~14/11 = 414.471 | ||
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Comma list: 65/64, 100/99, 105/104, 245/242 | Comma list: 65/64, 100/99, 105/104, 245/242 | ||
Mapping: [{{ | Mapping: [{{val| 1 4 3 -1 0 3 }}, {{val| 0 -7 -2 11 10 2 }}] | ||
POTE generator: ~14/11 = 414.472 | POTE generator: ~14/11 = 414.472 | ||
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[[Comma list]]: 50/49, 78125/73728 | [[Comma list]]: 50/49, 78125/73728 | ||
[[Mapping]]: [{{ | [[Mapping]]: [{{val| 2 1 4 5 }}, {{val| 0 7 2 2 }}] | ||
{{Multival|legend=1|14 4 4 -26 -33 -2}} | {{Multival|legend=1|14 4 4 -26 -33 -2}} | ||
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Comma list: 50/49, 125/121, 1344/1331 | Comma list: 50/49, 125/121, 1344/1331 | ||
Mapping: [{{ | Mapping: [{{val| 2 1 4 5 6 }}, {{val| 0 7 2 2 3 }}] | ||
POTE generator: ~11/10 = 185.879 | POTE generator: ~11/10 = 185.879 | ||
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Comma list: 50/49, 105/104, 125/121, 144/143 | Comma list: 50/49, 105/104, 125/121, 144/143 | ||
Mapping: [{{ | Mapping: [{{val| 2 1 4 5 6 4 }}, {{val| 0 7 2 2 3 11 }}] | ||
POTE generator: ~11/10 = 185.702 | POTE generator: ~11/10 = 185.702 | ||
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Badness: 0.049603 | Badness: 0.049603 | ||
[[Category: | [[Category:Regular temperament theory]] | ||
[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Wesley family| ]] <!-- main article --> | |||
[[Category:Rank 2]] | |||