No-twos subgroup temperaments: Difference between revisions
Switch to Sintel's badness, WE & CWE tunings (8/8) |
m Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| " |
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[[Comma list]]: 15625/15309 | [[Comma list]]: 15625/15309 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 -7 | 0 1 6 }} | ||
: mapping generators: ~3, ~5 | : mapping generators: ~3, ~5 | ||
| Line 49: | Line 49: | ||
Comma list: 15625/15309, 177147/171875 | Comma list: 15625/15309, 177147/171875 | ||
{{Mapping|legend=2| 1 1 -1 5 | 0 1 6 -6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 68: | Line 68: | ||
[[Comma list]]: 245/243 | [[Comma list]]: 245/243 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 1 2 | 0 2 -1 }} | ||
: mapping generators: ~3, ~9/7 | : mapping generators: ~3, ~9/7 | ||
| Line 91: | Line 91: | ||
Comma list: 196/195, 325/324, 1001/1000 | Comma list: 196/195, 325/324, 1001/1000 | ||
{{Mapping|legend=2| 1 1 2 -1 2 | 0 2 -1 11 -4 }} | |||
: mapping generators: ~3, ~9/7 | : mapping generators: ~3, ~9/7 | ||
| Line 113: | Line 113: | ||
Comma list: 245/243, 1331/1323 | Comma list: 245/243, 1331/1323 | ||
{{Mapping|legend=2| 1 -1 3 3 | 0 6 -3 -2 }} | |||
: mapping generators: ~3, ~11/7 | : mapping generators: ~3, ~11/7 | ||
| Line 129: | Line 129: | ||
Comma list: 245/243, 275/273, 1575/1573 | Comma list: 245/243, 275/273, 1575/1573 | ||
{{Mapping|legend=2| 1 5 0 1 10 | 0 -6 3 2 -13 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 148: | Line 148: | ||
Comma list: 245/243, 2025/2023 | Comma list: 245/243, 2025/2023 | ||
{{Mapping|legend=2| 1 1 2 2 | 0 4 -2 5 }} | |||
: mapping generators: ~3, ~17/15 | : mapping generators: ~3, ~17/15 | ||
| Line 168: | Line 168: | ||
[[Comma list]]: 16875/16807 | [[Comma list]]: 16875/16807 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 -2 -1 | 0 5 4 }} | ||
: mapping generators: ~3, ~15/7 | : mapping generators: ~3, ~15/7 | ||
| Line 191: | Line 191: | ||
Comma list: 1575/1573, 1625/1617, 4459/4455 | Comma list: 1575/1573, 1625/1617, 4459/4455 | ||
{{Mapping|legend=2| 3 4 5 6 7 | 0 5 4 7 0 }} | |||
: mapping generators: ~13/9, ~65/63 | : mapping generators: ~13/9, ~65/63 | ||
| Line 207: | Line 207: | ||
[[Comma list]]: 13841287201/13839609375 | [[Comma list]]: 13841287201/13839609375 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 -5 -2 | 0 12 7 }} | ||
: mapping generators: ~3, ~30375/16807 | : mapping generators: ~3, ~30375/16807 | ||
| Line 227: | Line 227: | ||
[[Comma list]]: {{monzo| -24 -3 16 }} | [[Comma list]]: {{monzo| -24 -3 16 }} | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 -8 0 | 0 16 3 }} | ||
: mapping generators: ~3, ~32805/16807 | : mapping generators: ~3, ~32805/16807 | ||
| Line 245: | Line 245: | ||
Comma list: 1331/1323, 120285/117649 | Comma list: 1331/1323, 120285/117649 | ||
{{Mapping|legend=2| 1 -8 0 1 | 0 16 3 2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 260: | Line 260: | ||
Comma list: 169/165, 351/343, 11011/10935 | Comma list: 169/165, 351/343, 11011/10935 | ||
{{Mapping|legend=2| 1 -8 0 1 -3 | 0 16 3 2 9 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 277: | Line 277: | ||
[[Comma list]]: 823543/820125 | [[Comma list]]: 823543/820125 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 2 2 | 0 -7 -3 }} | ||
: mapping generators: ~3, ~49/45 | : mapping generators: ~3, ~49/45 | ||
| Line 300: | Line 300: | ||
Comma list: 847/845, 1575/1573, 4459/4455 | Comma list: 847/845, 1575/1573, 4459/4455 | ||
{{Mapping|legend=2| 1 -12 -4 -10 -6 | 0 21 9 19 13 }} | |||
: mapping generators: ~3, ~99/49 | : mapping generators: ~3, ~99/49 | ||
| Line 323: | Line 323: | ||
Comma list: 665/663, 847/845, 1575/1573, 1617/1615, 4459/4455 | Comma list: 665/663, 847/845, 1575/1573, 1617/1615, 4459/4455 | ||
{{Mapping|legend=2| 1 -12 -4 -10 -6 -8 3 | 0 42 18 38 26 33 -1 }} | |||
: mapping generators: ~3, ~27/19 | : mapping generators: ~3, ~27/19 | ||
| Line 339: | Line 339: | ||
Comma list: 665/663, 847/845, 1575/1573, 1617/1615, 2277/2275, 4459/4455 | Comma list: 665/663, 847/845, 1575/1573, 1617/1615, 2277/2275, 4459/4455 | ||
{{Mapping|legend=2| 1 -12 -4 -10 -6 -8 3 -26 | 0 42 18 38 26 33 -1 90 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 360: | Line 360: | ||
[[Comma list]]: 3125/3087 | [[Comma list]]: 3125/3087 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 1 1 | 0 3 5 }} | ||
: mapping generators: ~3, ~25/21 | : mapping generators: ~3, ~25/21 | ||
| Line 385: | Line 385: | ||
Comma list: 275/273, 459/455, 1625/1617, 2025/2023 | Comma list: 275/273, 459/455, 1625/1617, 2025/2023 | ||
{{Mapping|legend=2| 1 -2 -4 12 11 2 | 0 6 10 -17 -15 1 }} | |||
: mapping generators: ~3, ~17/9 | : mapping generators: ~3, ~17/9 | ||
| Line 408: | Line 408: | ||
Comma list: 275/273, 1625/1617, 1575/1573 | Comma list: 275/273, 1625/1617, 1575/1573 | ||
{{Mapping|legend=2| 1 -5 -9 -5 -7 | 0 9 15 10 13 }} | |||
: mapping generators: ~3, ~11/5 | : mapping generators: ~3, ~11/5 | ||
| Line 515: | Line 515: | ||
[[Comma list]]: 177147/171875 | [[Comma list]]: 177147/171875 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 11 | 0 1 -6 }} | ||
: mapping generators: ~3, ~5 | : mapping generators: ~3, ~5 | ||
| Line 535: | Line 535: | ||
[[Comma list]]: 6655/6561 | [[Comma list]]: 6655/6561 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 2 2 | 0 -3 1 }} | ||
: mapping generators: ~3, ~11/9 | : mapping generators: ~3, ~11/9 | ||
| Line 559: | Line 559: | ||
Comma list: 6655/6561, 274625/264627 | Comma list: 6655/6561, 274625/264627 | ||
{{Mapping|legend=2| 1 -4 4 9 | 0 9 -3 -11 }} | |||
: mapping generators: ~3, ~65/33 | : mapping generators: ~3, ~65/33 | ||
| Line 575: | Line 575: | ||
Comma list: 1105/1089, 4225/4131, 6655/6561 | Comma list: 1105/1089, 4225/4131, 6655/6561 | ||
{{Mapping|legend=2| 1 -4 4 9 5 | 0 9 -3 -11 -4 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 590: | Line 590: | ||
Comma list: 247/243, 325/323, 1105/1089, 4675/4617 | Comma list: 247/243, 325/323, 1105/1089, 4675/4617 | ||
{{Mapping|legend=2| 1 -4 4 9 5 -4 | 0 9 -3 -11 -4 11 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 605: | Line 605: | ||
Comma list: 209/207, 247/243, 255/253, 325/323, 4675/4617 | Comma list: 209/207, 247/243, 255/253, 325/323, 4675/4617 | ||
{{Mapping|legend=2| 1 -4 4 9 5 -4 -2 | 0 9 -3 -11 -4 11 8 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 622: | Line 622: | ||
[[Comma list]]: {{monzo| -35 9 10 }} | [[Comma list]]: {{monzo| -35 9 10 }} | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 -5 8 | 0 10 -9 }} | ||
: mapping generators: ~3, ~55/27 | : mapping generators: ~3, ~55/27 | ||
| Line 645: | Line 645: | ||
[[Comma list]]: 1331/1323 | [[Comma list]]: 1331/1323 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 1 | 0 3 2 }} | ||
: mapping generators: ~3, ~21/11 | : mapping generators: ~3, ~21/11 | ||
| Line 665: | Line 665: | ||
Comma list: 1331/1323, 218491/216513 | Comma list: 1331/1323, 218491/216513 | ||
{{Mapping|legend=2| 1 0 1 10 | 0 3 2 -13 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 682: | Line 682: | ||
Comma list: 351/343, 1331/1323 | Comma list: 351/343, 1331/1323 | ||
{{Mapping|legend=2| 1 0 1 -3 | 0 3 2 9 }} | |||
: mapping generators: ~3, ~21/11 | : mapping generators: ~3, ~21/11 | ||
| Line 704: | Line 704: | ||
[[Comma list]]: 387420489/386683451 | [[Comma list]]: 387420489/386683451 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 2 2 | 0 -5 4 }} | ||
: mapping generators: ~3, ~81/77 | : mapping generators: ~3, ~81/77 | ||
| Line 722: | Line 722: | ||
Comma list: 3971/3969, 41553/41503 | Comma list: 3971/3969, 41553/41503 | ||
{{Mapping|legend=2| 1 2 2 3 | 0 -5 4 -7 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 744: | Line 744: | ||
Comma list: 14161/14157, 107811/107653, 1108809/1108723 | Comma list: 14161/14157, 107811/107653, 1108809/1108723 | ||
{{Mapping|legend=2| 1 2 2 2 2 | 0 -15 12 22 38 }} | |||
: mapping generators: ~3, ~119/117 | : mapping generators: ~3, ~119/117 | ||
| Line 760: | Line 760: | ||
Comma list: 3213/3211, 3971/3969, 14161/14157, 41553/41503 | Comma list: 3213/3211, 3971/3969, 14161/14157, 41553/41503 | ||
{{Mapping|legend=2| 1 2 2 2 2 3 | 0 -15 12 22 38 -21 }} | |||
: mapping generators: ~3, ~119/117 | : mapping generators: ~3, ~119/117 | ||
| Line 779: | Line 779: | ||
[[Comma list]]: 3159/3125 | [[Comma list]]: 3159/3125 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 5 | 0 1 -2 }} | ||
: mapping generators: ~3, ~5 | : mapping generators: ~3, ~5 | ||
| Line 797: | Line 797: | ||
[[Comma list]]: 351/343 | [[Comma list]]: 351/343 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 -3 | 0 1 3 }} | ||
: mapping generators: ~3, ~7 | : mapping generators: ~3, ~7 | ||
| Line 815: | Line 815: | ||
[[Comma list]]: 85293/83521 | [[Comma list]]: 85293/83521 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 2 | 0 4 1 }} | ||
: mapping generators: ~3, ~17/9 | : mapping generators: ~3, ~17/9 | ||
| Line 836: | Line 836: | ||
[[Comma list]]: 859375/823543 | [[Comma list]]: 859375/823543 | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 0 -7 | 0 1 7 }} | ||
: mapping generators: ~5, ~7 | : mapping generators: ~5, ~7 | ||
| Line 856: | Line 856: | ||
[[Comma list]]: 125/121 | [[Comma list]]: 125/121 | ||
{{Mapping|legend= | {{Mapping|legend=3| 2 0 3 | 0 1 0 }} | ||
: mapping generators: ~11/5, ~7 | : mapping generators: ~11/5, ~7 | ||
| Line 874: | Line 874: | ||
Comma list: 125/121, 637/605 | Comma list: 125/121, 637/605 | ||
{{Mapping|legend=2| 2 0 3 8 | 0 1 0 -2 }} | |||
Optimal tunings: | Optimal tunings: | ||