Meantone family: Difference between revisions
m →Superpine: Fix math error |
Restore POTE tuning by request |
||
| Line 20: | Line 20: | ||
{{Multival|legend=1| 1 4 4 }} | {{Multival|legend=1| 1 4 4 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1\1, ~3/2 = 697.2143 | |||
* [[POTE]]: ~2 = 1\1, ~3/2 = 696.239 | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 73: | Line 75: | ||
{{Multival|legend=1| 1 4 10 4 13 12 }} | {{Multival|legend=1| 1 4 10 4 13 12 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1\1, ~3/2 = 696.9521 | |||
* [[POTE]]: ~2 = 1\1, ~3/2 = 696.495 | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 102: | Line 106: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 | 0 1 4 10 18 }} | Mapping: {{mapping| 1 0 -4 -13 -25 | 0 1 4 10 18 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.1676 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.967 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 129: | Line 135: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 | 0 1 4 10 18 15 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 | 0 1 4 10 18 15 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.8552 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.642 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 148: | Line 156: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 -37 | 0 1 4 10 18 15 26 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 -37 | 0 1 4 10 18 15 26 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.6486 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.377 | |||
{{Optimal ET sequence|legend=1| 12fg, 19eg, 31, 50e }} | {{Optimal ET sequence|legend=1| 12fg, 19eg, 31, 50e }} | ||
| Line 161: | Line 171: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 -37 -40 | 0 1 4 10 18 15 26 28 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 -37 -40 | 0 1 4 10 18 15 26 28 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.5551 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.273 | |||
{{Optimal ET sequence|legend=1| 12fghh, 19egh, 31, 50e }} | {{Optimal ET sequence|legend=1| 12fghh, 19egh, 31, 50e }} | ||
| Line 176: | Line 188: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 -7 | 0 1 4 10 18 15 7 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 -7 | 0 1 4 10 18 15 7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.0360 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.448 | |||
{{Optimal ET sequence|legend=1| 12f, 19eg, 31g }} | {{Optimal ET sequence|legend=1| 12f, 19eg, 31g }} | ||
| Line 189: | Line 203: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 -7 -10 | 0 1 4 10 18 15 7 9 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 -7 -10 | 0 1 4 10 18 15 7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.2161 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.394 | |||
{{Optimal ET sequence|legend=1| 12f, 19egh, 31gh }} | {{Optimal ET sequence|legend=1| 12f, 19egh, 31gh }} | ||
| Line 204: | Line 220: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.9080 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.003 | |||
{{Optimal ET sequence|legend=1| 12f, 31 }} | {{Optimal ET sequence|legend=1| 12f, 31 }} | ||
| Line 217: | Line 235: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 9 | 0 1 4 10 18 15 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 9 | 0 1 4 10 18 15 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.9308 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.140 | |||
{{Optimal ET sequence|legend=1| 12f, 31 }} | {{Optimal ET sequence|legend=1| 12f, 31 }} | ||
| Line 232: | Line 252: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 29 | 0 1 4 10 18 -16 }} | Mapping: {{mapping| 1 0 -4 -13 -25 29 | 0 1 4 10 18 -16 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.2582 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.264 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 253: | Line 275: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 29 12 | 0 1 4 10 18 -16 -5 }} | Mapping: {{mapping| 1 0 -4 -13 -25 29 12 | 0 1 4 10 18 -16 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.2996 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.335 | |||
{{Optimal ET sequence|legend=1| 12, 31, 43, 74g }} | {{Optimal ET sequence|legend=1| 12, 31, 43, 74g }} | ||
| Line 266: | Line 290: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 29 12 9 | 0 1 4 10 18 -16 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 -25 29 12 9 | 0 1 4 10 18 -16 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.3271 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.380 | |||
{{Optimal ET sequence|legend=1| 12, 31, 43, 74gh }} | {{Optimal ET sequence|legend=1| 12, 31, 43, 74gh }} | ||
| Line 281: | Line 307: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 | 0 1 4 10 18 27 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 | 0 1 4 10 18 27 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.5155 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.529 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 298: | Line 326: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 -56 | 0 1 4 10 18 27 38 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 -56 | 0 1 4 10 18 27 38 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.5076 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.514 | |||
{{Optimal ET sequence|legend=1| 12fg, 31fg, 43 }} | {{Optimal ET sequence|legend=1| 12fg, 31fg, 43 }} | ||
| Line 311: | Line 341: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 -56 -59 | 0 1 4 10 18 27 38 40 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 -56 -59 | 0 1 4 10 18 27 38 40 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.4848 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.481 | |||
{{Optimal ET sequence|legend=1| 12fghh, 31fgh, 43 }} | {{Optimal ET sequence|legend=1| 12fghh, 31fgh, 43 }} | ||
| Line 324: | Line 356: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 -7 | 0 1 4 10 18 27 7 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 -7 | 0 1 4 10 18 27 7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.6098 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.376 | |||
{{Optimal ET sequence|legend=1| 12f, 31fg, 43g }} | {{Optimal ET sequence|legend=1| 12f, 31fg, 43g }} | ||
| Line 337: | Line 371: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 -7 -10 | 0 1 4 10 18 27 7 9 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 -7 -10 | 0 1 4 10 18 27 7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.7012 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.316 | |||
{{Optimal ET sequence|legend=1| 12f, 19effgh, 31fgh, 43gh }} | {{Optimal ET sequence|legend=1| 12f, 19effgh, 31fgh, 43gh }} | ||
| Line 350: | Line 386: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 12 | 0 1 4 10 18 27 -5 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 12 | 0 1 4 10 18 27 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.5384 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.644 | |||
{{Optimal ET sequence|legend=1| 12f, 43 }} | {{Optimal ET sequence|legend=1| 12f, 43 }} | ||
| Line 363: | Line 401: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -39 12 9 | 0 1 4 10 18 27 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -39 12 9 | 0 1 4 10 18 27 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.5550 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.715 | |||
{{Optimal ET sequence|legend=1| 12f, 43 }} | {{Optimal ET sequence|legend=1| 12f, 43 }} | ||
| Line 378: | Line 418: | ||
: mapping generators: ~2, ~26/15 | : mapping generators: ~2, ~26/15 | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~26/15 = 948.6109 | |||
* POTE: ~2 = 1\1, ~26/15 = 948.465 | |||
{{Optimal ET sequence|legend=1| 19e, 43, 62 }} | {{Optimal ET sequence|legend=1| 19e, 43, 62 }} | ||
| Line 391: | Line 433: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -5 -22 | 0 2 8 20 36 11 33 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -5 -22 | 0 2 8 20 36 11 33 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~26/15 = 948.6173 | |||
* POTE: ~2 = 1\1, ~26/15 = 948.477 | |||
{{Optimal ET sequence|legend=1| 19eg, 43, 62 }} | {{Optimal ET sequence|legend=1| 19eg, 43, 62 }} | ||
| Line 404: | Line 448: | ||
Mapping: {{mapping| 1 0 -4 -13 -25 -5 -22 -25 | 0 2 8 20 36 11 33 37 }} | Mapping: {{mapping| 1 0 -4 -13 -25 -5 -22 -25 | 0 2 8 20 36 11 33 37 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~19/11 = 948.6088 | |||
* POTE: ~2 = 1\1, ~19/11 = 948.473 | |||
{{Optimal ET sequence|legend=1| 19egh, 43, 62 }} | {{Optimal ET sequence|legend=1| 19egh, 43, 62 }} | ||
| Line 419: | Line 465: | ||
: mapping generators: ~55/39, ~3 | : mapping generators: ~55/39, ~3 | ||
Optimal | Optimal tunings: | ||
* CTE: ~55/39 = 1\2, ~3/2 = 697.1678 | |||
* POTE: ~55/39 = 1\2, ~3/2 = 697.005 | |||
{{Optimal ET sequence|legend=1| 12f, 38deefff, 50eff, 62, 136b }} | {{Optimal ET sequence|legend=1| 12f, 38deefff, 50eff, 62, 136b }} | ||
| Line 432: | Line 480: | ||
Mapping: {{mapping| 2 0 -8 -26 -50 -59 5 | 0 1 4 10 18 21 1 }} | Mapping: {{mapping| 2 0 -8 -26 -50 -59 5 | 0 1 4 10 18 21 1 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~17/12 = 1\2, ~3/2 = 697.1740 | |||
* POTE: ~17/12 = 1\2, ~3/2 = 696.927 | |||
{{Optimal ET sequence|legend=1| 12f, 50eff, 62, 136bg }} | {{Optimal ET sequence|legend=1| 12f, 50eff, 62, 136bg }} | ||
| Line 445: | Line 495: | ||
Mapping: {{mapping| 2 0 -8 -26 -50 -59 5 -1 | 0 1 4 10 18 21 1 3 }} | Mapping: {{mapping| 2 0 -8 -26 -50 -59 5 -1 | 0 1 4 10 18 21 1 3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~17/12 = 1\2, ~3/2 = 697.1871 | |||
* POTE: ~17/12 = 1\2, ~3/2 = 696.906 | |||
{{Optimal ET sequence|legend=1| 12f, 50eff, 62 }} | {{Optimal ET sequence|legend=1| 12f, 50eff, 62 }} | ||
| Line 464: | Line 516: | ||
: mapping generator: ~2, ~3 | : mapping generator: ~2, ~3 | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.5311 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.434 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 492: | Line 546: | ||
Mapping: {{mapping| 1 0 -4 -13 24 -20 | 0 1 4 10 -13 15 }} | Mapping: {{mapping| 1 0 -4 -13 24 -20 | 0 1 4 10 -13 15 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.3563 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.211 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 513: | Line 569: | ||
Mapping: {{mapping| 1 0 -4 -13 24 -20 -37 | 0 1 4 10 -13 15 26 }} | Mapping: {{mapping| 1 0 -4 -13 24 -20 -37 | 0 1 4 10 -13 15 26 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.3508 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.194 | |||
{{Optimal ET sequence|legend=1| 19g, 31, 50, 81, 131bd }} | {{Optimal ET sequence|legend=1| 19g, 31, 50, 81, 131bd }} | ||
| Line 526: | Line 584: | ||
Mapping: {{mapping| 1 0 -4 -13 24 -20 -37 -40 | 0 1 4 10 -13 15 26 28 }} | Mapping: {{mapping| 1 0 -4 -13 24 -20 -37 -40 | 0 1 4 10 -13 15 26 28 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.3471 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.188 | |||
{{Optimal ET sequence|legend=1| 19gh, 31, 50, 81 }} | {{Optimal ET sequence|legend=1| 19gh, 31, 50, 81 }} | ||
| Line 539: | Line 599: | ||
Mapping: {{mapping| 1 0 -4 -13 24 -20 12 | 0 1 4 10 -13 15 -5 }} | Mapping: {{mapping| 1 0 -4 -13 24 -20 12 | 0 1 4 10 -13 15 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.4388 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.408 | |||
{{Optimal ET sequence|legend=1| 19, 31 }} | {{Optimal ET sequence|legend=1| 19, 31 }} | ||
| Line 552: | Line 614: | ||
Mapping: {{mapping| 1 0 -4 -13 24 -20 12 9 | 0 1 4 10 -13 15 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 24 -20 12 9 | 0 1 4 10 -13 15 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.4838 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.499 | |||
{{Optimal ET sequence|legend=1| 12ef, 19, 31 }} | {{Optimal ET sequence|legend=1| 12ef, 19, 31 }} | ||
| Line 565: | Line 629: | ||
Mapping: {{mapping| 1 0 -4 -13 24 10 | 0 1 4 10 -13 -4 }} | Mapping: {{mapping| 1 0 -4 -13 24 10 | 0 1 4 10 -13 -4 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.2827 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.202 | |||
Minimax tuning: | Minimax tuning: | ||
| Line 582: | Line 648: | ||
Mapping: {{mapping| 1 0 -4 -13 24 10 12 | 0 1 4 10 -13 -4 -5 }} | Mapping: {{mapping| 1 0 -4 -13 24 10 12 | 0 1 4 10 -13 -4 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.4069 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.414 | |||
{{Optimal ET sequence|legend=1| 12e, 19 }} | {{Optimal ET sequence|legend=1| 12e, 19 }} | ||
| Line 595: | Line 663: | ||
Mapping: {{mapping| 1 0 -4 -13 24 10 12 9 | 0 1 4 10 -13 -4 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 24 10 12 9 | 0 1 4 10 -13 -4 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.4731 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.497 | |||
{{Optimal ET sequence|legend=1| 12e, 19 }} | {{Optimal ET sequence|legend=1| 12e, 19 }} | ||
| Line 608: | Line 678: | ||
Mapping: {{mapping| 1 0 -4 -13 24 10 -7 | 0 1 4 10 -13 -4 7 }} | Mapping: {{mapping| 1 0 -4 -13 24 10 -7 | 0 1 4 10 -13 -4 7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.6614 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.415 | |||
{{Optimal ET sequence|legend=1| 12e, 19g, 31fg }} | {{Optimal ET sequence|legend=1| 12e, 19g, 31fg }} | ||
| Line 621: | Line 693: | ||
Mapping: {{mapping| 1 0 -4 -13 24 10 -7 -10 | 0 1 4 10 -13 -4 7 9 }} | Mapping: {{mapping| 1 0 -4 -13 24 10 -7 -10 | 0 1 4 10 -13 -4 7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 697.0160 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.583 | |||
{{Optimal ET sequence|legend=1| 12e, 19gh, 31fgh }} | {{Optimal ET sequence|legend=1| 12e, 19gh, 31fgh }} | ||
| Line 636: | Line 710: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 | 0 1 4 10 6 }} | Mapping: {{mapping| 1 0 -4 -13 -6 | 0 1 4 10 6 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.1527 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.250 | |||
Tuning ranges: | Tuning ranges: | ||
| Line 653: | Line 729: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -20 | 0 1 4 10 6 15 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -20 | 0 1 4 10 6 15 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.0983 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.146 | |||
{{Optimal ET sequence|legend=1| 7df, 12f, 19, 31e }} | {{Optimal ET sequence|legend=1| 7df, 12f, 19, 31e }} | ||
| Line 666: | Line 744: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -20 12 | 0 1 4 10 6 15 -5 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -20 12 | 0 1 4 10 6 15 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.2161 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.575 | |||
{{Optimal ET sequence|legend=1| 12f, 19, 31e }} | {{Optimal ET sequence|legend=1| 12f, 19, 31e }} | ||
| Line 679: | Line 759: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -20 12 9 | 0 1 4 10 6 15 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -20 12 9 | 0 1 4 10 6 15 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.2774 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.706 | |||
{{Optimal ET sequence|legend=1| 12f, 19, 31e }} | {{Optimal ET sequence|legend=1| 12f, 19, 31e }} | ||
| Line 692: | Line 774: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -20 -7 | 0 1 4 10 6 15 7 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -20 -7 | 0 1 4 10 6 15 7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.4501 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.025 | |||
{{Optimal ET sequence|legend=1| 7dfg, 12f, 19g }} | {{Optimal ET sequence|legend=1| 7dfg, 12f, 19g }} | ||
| Line 705: | Line 789: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -20 -7 -10 | 0 1 4 10 6 15 7 9 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -20 -7 -10 | 0 1 4 10 6 15 7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.7925 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.121 | |||
{{Optimal ET sequence|legend=1| 7dfgh, 12f, 19gh }} | {{Optimal ET sequence|legend=1| 7dfgh, 12f, 19gh }} | ||
| Line 718: | Line 804: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 | 0 1 4 10 6 -4 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 | 0 1 4 10 6 -4 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.7897 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.060 | |||
{{Optimal ET sequence|legend=1| 7d, 12, 19 }} | {{Optimal ET sequence|legend=1| 7d, 12, 19 }} | ||
| Line 731: | Line 819: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 | 0 1 4 10 6 -4 -5 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 | 0 1 4 10 6 -4 -5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.0114 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.858 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 744: | Line 834: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 | 0 1 4 10 6 -4 -5 -3 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 | 0 1 4 10 6 -4 -5 -3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.1196 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.131 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 757: | Line 849: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 | 0 1 4 10 6 -4 -5 -3 -6 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 | 0 1 4 10 6 -4 -5 -3 -6 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.0585 | |||
* POTE: ~2 = 1\1, ~3/2 = 696.044 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 770: | Line 864: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 | 0 1 4 10 6 -4 -5 -3 -6 -2 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 | 0 1 4 10 6 -4 -5 -3 -6 -2 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.9824 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.913 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 783: | Line 879: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.7980 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.750 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 796: | Line 894: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.6746 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.603 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 809: | Line 909: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.7239 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.696 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 822: | Line 924: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.7160 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.688 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 835: | Line 939: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.6849 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.676 | |||
{{Optimal ET sequence|legend=1| 12, 19 }} | {{Optimal ET sequence|legend=1| 12, 19 }} | ||
| Line 848: | Line 954: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 -7 | 0 1 4 10 6 -4 7 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 -7 | 0 1 4 10 6 -4 7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.4125 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.358 | |||
{{Optimal ET sequence|legend=1| 7dg, 12, 19g }} | {{Optimal ET sequence|legend=1| 7dg, 12, 19g }} | ||
| Line 861: | Line 969: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 10 -7 -10 | 0 1 4 10 6 -4 7 9 }} | Mapping: {{mapping| 1 0 -4 -13 -6 10 -7 -10 | 0 1 4 10 6 -4 7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.9500 | |||
* POTE: ~2 = 1\1, ~3/2 = 695.725 | |||
{{Optimal ET sequence|legend=1| 7dgh, 12, 19gh }} | {{Optimal ET sequence|legend=1| 7dgh, 12, 19gh }} | ||
| Line 874: | Line 984: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -1 | 0 1 4 10 6 3 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -1 | 0 1 4 10 6 3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 695.6202 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.254 | |||
{{Optimal ET sequence|legend=1| 7d, 12f, 19f }} | {{Optimal ET sequence|legend=1| 7d, 12f, 19f }} | ||
| Line 887: | Line 999: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -1 -7 | 0 1 4 10 6 3 7 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -1 -7 | 0 1 4 10 6 3 7 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.2789 | |||
* POTE: ~2 = 1\1, ~3/2 = 697.586 | |||
{{Optimal ET sequence|legend=1| 7dg, 12f }} | {{Optimal ET sequence|legend=1| 7dg, 12f }} | ||
| Line 900: | Line 1,014: | ||
Mapping: {{mapping| 1 0 -4 -13 -6 -1 -7 -10 | 0 1 4 10 6 3 7 9 }} | Mapping: {{mapping| 1 0 -4 -13 -6 -1 -7 -10 | 0 1 4 10 6 3 7 9 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.8486 | |||
* POTE: ~2 = 1\1, ~3/2 = 698.118 | |||
{{Optimal ET sequence|legend=1| 7dgh, 12f }} | {{Optimal ET sequence|legend=1| 7dgh, 12f }} | ||
| Line 915: | Line 1,031: | ||
Mapping: {{mapping| 1 0 -4 -13 5 | 0 1 4 10 -1 }} | Mapping: {{mapping| 1 0 -4 -13 5 | 0 1 4 10 -1 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.7022 | |||
* POTE: ~2 = 1\1, ~3/2 = 694.689 | |||
{{Optimal ET sequence|legend=1| 7d, 12e, 19e }} | {{Optimal ET sequence|legend=1| 7d, 12e, 19e }} | ||
| Line 928: | Line 1,046: | ||
Mapping: {{mapping| 1 0 -4 -13 5 10 | 0 1 4 10 -1 -4 }} | Mapping: {{mapping| 1 0 -4 -13 5 10 | 0 1 4 10 -1 -4 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 696.2408 | |||
* POTE: ~2 = 1\1, ~3/2 = 694.764 | |||
{{Optimal ET sequence|legend=1| 7d, 12e, 19e }} | {{Optimal ET sequence|legend=1| 7d, 12e, 19e }} | ||
| Line 945: | Line 1,065: | ||
: mapping generators: ~63/44, ~3 | : mapping generators: ~63/44, ~3 | ||
Optimal | Optimal tunings: | ||
* CTE: ~63/44 = 1\2, ~3/2 = 696.5199 | |||
* POTE: ~63/44 = 1\2, ~3/2 = 696.016 | |||
{{Optimal ET sequence|legend=1| 12, 26de, 38d, 50 }} | {{Optimal ET sequence|legend=1| 12, 26de, 38d, 50 }} | ||
| Line 958: | Line 1,080: | ||
Mapping: {{mapping| 2 0 -8 -26 -31 -40 | 0 1 4 10 12 15 }} | Mapping: {{mapping| 2 0 -8 -26 -31 -40 | 0 1 4 10 12 15 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~55/39 = 1\2, ~3/2 = 696.3410 | |||
* POTE: ~55/39 = 1\2, ~3/2 = 695.836 | |||
{{Optimal ET sequence|legend=1| 12f, 26deff, 38df, 50 }} | {{Optimal ET sequence|legend=1| 12f, 26deff, 38df, 50 }} | ||
| Line 971: | Line 1,095: | ||
Mapping: {{mapping| 2 0 -8 -26 -31 -40 5 | 0 1 4 10 12 15 1 }} | Mapping: {{mapping| 2 0 -8 -26 -31 -40 5 | 0 1 4 10 12 15 1 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~17/12 = 1\2, ~3/2 = 696.3526 | |||
* POTE: ~17/12 = 1\2, ~3/2 = 695.783 | |||
{{Optimal ET sequence|legend=1| 12f, 38df, 50 }} | {{Optimal ET sequence|legend=1| 12f, 38df, 50 }} | ||
| Line 984: | Line 1,110: | ||
Mapping: {{mapping| 2 0 -8 -26 -31 -40 5 -1 | 0 1 4 10 12 15 1 3 }} | Mapping: {{mapping| 2 0 -8 -26 -31 -40 5 -1 | 0 1 4 10 12 15 1 3 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~17/12 = 1\2, ~3/2 = 696.3837 | |||
* POTE: ~17/12 = 1\2, ~3/2 = 695.752 | |||
{{Optimal ET sequence|legend=1| 12f, 26deff, 38df, 50 }} | {{Optimal ET sequence|legend=1| 12f, 26deff, 38df, 50 }} | ||
| Line 999: | Line 1,127: | ||
: mapping generators: ~2, ~11/10 | : mapping generators: ~2, ~11/10 | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~11/10 = 167.7074 | |||
* POTE: ~2 = 1\1, ~11/10 = 167.805 | |||
{{Optimal ET sequence|legend=1| 7d, 36d, 43, 50, 93 }} | {{Optimal ET sequence|legend=1| 7d, 36d, 43, 50, 93 }} | ||
| Line 1,012: | Line 1,142: | ||
Mapping: {{mapping| 1 2 4 7 5 3 | 0 -3 -12 -30 -11 5 }} | Mapping: {{mapping| 1 2 4 7 5 3 | 0 -3 -12 -30 -11 5 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~11/10 = 167.7121 | |||
* POTE: ~2 = 1\1, ~11/10 = 167.790 | |||
{{Optimal ET sequence|legend=1| 7d, 43, 50, 93 }} | {{Optimal ET sequence|legend=1| 7d, 43, 50, 93 }} | ||
| Line 1,025: | Line 1,157: | ||
Mapping: {{mapping| 1 2 4 7 5 3 8 | 0 -3 -12 -30 -11 5 -28 }} | Mapping: {{mapping| 1 2 4 7 5 3 8 | 0 -3 -12 -30 -11 5 -28 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~11/10 = 167.7047 | |||
* POTE: ~2 = 1\1, ~11/10 = 167.786 | |||
{{Optimal ET sequence|legend=1| 7dg, 43, 50, 93 }} | {{Optimal ET sequence|legend=1| 7dg, 43, 50, 93 }} | ||