Whitewood family: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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[[Comma list]]: 2187/2048 | [[Comma list]]: 2187/2048 | ||
{{Mapping|legend=1| 7 11 16 | 0 0 1 }} | |||
: mapping generators: ~9/8, ~5 | |||
[[Optimal tuning]] ([[POTE]]): ~9/8 = 1\7, ~5/4 = 374.469 | [[Optimal tuning]] ([[POTE]]): ~9/8 = 1\7, ~5/4 = 374.469 | ||
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[[Comma list]]: 36/35, 2187/2048 | [[Comma list]]: 36/35, 2187/2048 | ||
{{Mapping|legend=1| 7 11 16 20 | 0 0 1 -1 }} | |||
{{Multival|legend=1| 0 7 -7 11 -11 -36 }} | {{Multival|legend=1| 0 7 -7 11 -11 -36 }} | ||
| Line 44: | Line 44: | ||
Comma list: 36/35, 45/44, 2079/2048 | Comma list: 36/35, 45/44, 2079/2048 | ||
Mapping: | Mapping: {{mapping| 7 11 16 20 24 | 0 0 1 -1 1 }} | ||
Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 389.968 | Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 389.968 | ||
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Comma list: 27/26, 36/35, 45/44, 512/507 | Comma list: 27/26, 36/35, 45/44, 512/507 | ||
Mapping: | Mapping: {{mapping| 7 11 16 20 24 26 | 0 0 1 -1 1 0 }} | ||
Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 390.735 | Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 390.735 | ||
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[[Comma list]]: 525/512, 729/700 | [[Comma list]]: 525/512, 729/700 | ||
{{Mapping|legend=1| 7 11 16 20 | 0 0 1 -2 }} | |||
{{Multival|legend=1| 0 7 -14 11 -22 -52 }} | {{Multival|legend=1| 0 7 -14 11 -22 -52 }} | ||
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Comma list: 45/44, 385/384, 729/700 | Comma list: 45/44, 385/384, 729/700 | ||
Mapping: | Mapping: {{mapping| 7 11 16 20 24 | 0 0 1 -2 1 }} | ||
Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 376.711 | Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 376.711 | ||
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[[Comma list]]: 54/49, 64/63 | [[Comma list]]: 54/49, 64/63 | ||
{{Mapping|legend=1| 7 11 16 20 | 0 0 1 0 }} | |||
{{Multival|legend=1| 0 7 0 11 0 -20 }} | {{Multival|legend=1| 0 7 0 11 0 -20 }} | ||
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Comma list: 45/44, 54/49, 64/63 | Comma list: 45/44, 54/49, 64/63 | ||
Mapping: | Mapping: {{mapping| 7 11 16 20 24 | 0 0 1 0 1 }} | ||
Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 394.661 | Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 394.661 | ||
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Comma list: 27/26, 45/44, 52/49, 64/63 | Comma list: 27/26, 45/44, 52/49, 64/63 | ||
Mapping: | Mapping: {{mapping| 7 11 16 20 24 26 | 0 0 1 0 1 0 }} | ||
Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 395.071 | Optimal tuning (POTE): ~9/8 = 1\7, ~5/4 = 395.071 | ||
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== Greenwood == | == Greenwood == | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 405/392, 1323/1280 | [[Comma list]]: 405/392, 1323/1280 | ||
{{Mapping|legend=1| 7 11 1 12 | 0 0 2 1 }} | |||
: mapping generators: ~9/8, ~15/7 | |||
{{Multival|legend=1| 0 14 7 22 11 -23 }} | {{Multival|legend=1| 0 14 7 22 11 -23 }} | ||
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Comma list: 45/44, 99/98, 1323/1280 | Comma list: 45/44, 99/98, 1323/1280 | ||
Mapping: | Mapping: {{mapping| 7 11 1 12 9 | 0 0 2 1 2 }} | ||
Optimal tuning (CTE): ~9/8 = 1\7, ~15/14 = 106.997 | Optimal tuning (CTE): ~9/8 = 1\7, ~15/14 = 106.997 | ||
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Comma list: 27/26, 45/44, 99/98, 640/637 | Comma list: 27/26, 45/44, 99/98, 640/637 | ||
Mapping: | Mapping: {{mapping| 7 11 1 12 9 26 | 0 0 2 1 2 0 }} | ||
Optimal tuning (CTE): ~9/8 = 1\7, ~15/14 = 106.997 | Optimal tuning (CTE): ~9/8 = 1\7, ~15/14 = 106.997 | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Apotome family| ]] <!-- main article --> | [[Category:Apotome family| ]] <!-- main article --> | ||
[[Category:Whitewood| ]] <!-- key article --> | |||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||