Miscellaneous 5-limit temperaments: Difference between revisions
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~25/24 = 140.995 | ||
{{Optimal ET sequence|legend=1| 8, 9, 17c }} | {{Optimal ET sequence|legend=1| 8, 9, 17c }} | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~64/45 = 631.737 | ||
{{Optimal ET sequence|legend=1| 17, 19 }} | {{Optimal ET sequence|legend=1| 17, 19 }} | ||
| Line 50: | Line 50: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~768/625 = 357.088 | ||
{{Optimal ET sequence|legend=1| 37, 84, 205, 289, 494, 783, 2060, 2843, 3626 }} | {{Optimal ET sequence|legend=1| 37, 84, 205, 289, 494, 783, 2060, 2843, 3626 }} | ||
| Line 66: | Line 66: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~162/125 = 448.449 | ||
{{Optimal ET sequence|legend=1| 8, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc }} | {{Optimal ET sequence|legend=1| 8, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc }} | ||
| Line 82: | Line 82: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~6/5 = 310.140 | ||
{{Optimal ET sequence|legend=1| 27, 31, 58, 89, 325cc }} | {{Optimal ET sequence|legend=1| 27, 31, 58, 89, 325cc }} | ||
| Line 98: | Line 98: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~64/45 = 561.264 | ||
{{Optimal ET sequence|legend=1| 2, 13, 15, 32c, 47bc, 62bc }} | {{Optimal ET sequence|legend=1| 2, 13, 15, 32c, 47bc, 62bc }} | ||
| Line 114: | Line 114: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~{{monzo| -12 24 -11 }} = | * [[CTE]]: ~{{monzo| -12 24 -11 }} = 600.000, ~200000/177147 = 208.907 | ||
* [[CWE]]: ~{{monzo| -12 24 -11 }} = | * [[CWE]]: ~{{monzo| -12 24 -11 }} = 600.000, ~200000/177147 = 208.906 | ||
{{Optimal ET sequence|legend=1| 46, 132, 178, 224, 270, 494, 1752, 2246, 2740, 4986, 7726b }} | {{Optimal ET sequence|legend=1| 46, 132, 178, 224, 270, 494, 1752, 2246, 2740, 4986, 7726b }} | ||
[[Badness]]: 0. | [[Badness]]: | ||
* Smith: 0.255 | |||
* Dirichlet: 5.970 | |||
== Supermajor == | == Supermajor == | ||
| Line 130: | Line 132: | ||
{{Mapping|legend=1| 1 15 19 | 0 -37 -46 }} | {{Mapping|legend=1| 1 15 19 | 0 -37 -46 }} | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
[[CTE]]: ~2 = 1200.000, ~625/486 = 435.081 | |||
* [[CWE]]: ~2 = | * [[CWE]]: ~2 = 1200.000, ~625/486 = 435.081 | ||
{{Optimal ET sequence|legend=1| 80, 171, 593, 764, 935, 1106, 3489, 4595, 5701 }} | {{Optimal ET sequence|legend=1| 80, 171, 593, 764, 935, 1106, 3489, 4595, 5701 }} | ||
[[Badness]]: 0. | [[Badness]]: | ||
* Smith: 0.264 | |||
* Dirichlet: 6.185 | |||
== Gamera == | == Gamera == | ||
| Line 148: | Line 152: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = | * [[CTE]]: ~2 = 1200.000, ~2500/2187 = 230.345 | ||
* [[CWE]]: ~2 = | * [[CWE]]: ~2 = 1200.000, ~2500/2187 = 230.345 | ||
{{Optimal ET sequence|legend=1| 26, 73, 99, 224, 323, 547, 870 }} | {{Optimal ET sequence|legend=1| 26, 73, 99, 224, 323, 547, 870 }} | ||
[[Badness]]: 0. | [[Badness]]: | ||
* Smith: 0.273 | |||
* Dirichlet: 6.39 | |||
== Tritriple == | == Tritriple == | ||
| Line 165: | Line 171: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~864/625 = 559.332 | ||
{{Optimal ET sequence|legend=1| 15, 88, 103, 118, 959, 1077 }} | {{Optimal ET sequence|legend=1| 15, 88, 103, 118, 959, 1077 }} | ||
| Line 181: | Line 187: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~27/20 = 561.195 | ||
{{Optimal ET sequence|legend=1| 15, 47b, 62b }} | {{Optimal ET sequence|legend=1| 15, 47b, 62b }} | ||
| Line 197: | Line 203: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~17578125/16777216 = 77.191 | ||
{{Optimal ET sequence|legend=1| 31, 109, 140, 171, 1679c, 1850c, 2021c, 2192c, 2363c, 2534c, 2705c, 2876c, 3047c }} | {{Optimal ET sequence|legend=1| 31, 109, 140, 171, 1679c, 1850c, 2021c, 2192c, 2363c, 2534c, 2705c, 2876c, 3047c }} | ||
| Line 213: | Line 219: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~3/2 = 700.734 | ||
{{Optimal ET sequence|legend=1| 12, 113, 125, 137 }} | {{Optimal ET sequence|legend=1| 12, 113, 125, 137 }} | ||
| Line 229: | Line 235: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~45/32 = 588.722 | ||
{{Optimal ET sequence|legend=1| 51, 53, 267, 320, 373, 426, 479, 532, 2607bc }} | {{Optimal ET sequence|legend=1| 51, 53, 267, 320, 373, 426, 479, 532, 2607bc }} | ||
| Line 245: | Line 251: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~6/5 = 316.081 | ||
{{Optimal ET sequence|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }} | {{Optimal ET sequence|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }} | ||
| Line 261: | Line 267: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~78125/62208 = | * [[CTE]]: ~78125/62208 = 400.000, ~9765625/8957952 = 157.392 | ||
* [[CWE]]: ~78125/62208 = | * [[CWE]]: ~78125/62208 = 400.000, ~9765625/8957952 = 157.409 | ||
{{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99, 183, 282, 465, 1212c, 1677cc }} | {{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99, 183, 282, 465, 1212c, 1677cc }} | ||
[[Badness]]: Smith: 0. | [[Badness]]: | ||
* Smith: 0.333 | |||
* Dirichlet: 7.807 | |||
== Lemba == | == Lemba == | ||
| Line 277: | Line 285: | ||
{{Mapping|legend=1| 2 2 5 | 0 3 -1 }} | {{Mapping|legend=1| 2 2 5 | 0 3 -1 }} | ||
: | : mapping generators: ~375/256, ~75/64 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~375/256 = | * [[CTE]]: ~375/256 = 600.000, ~75/64 = 232.986 | ||
: [[error map]]: {{val| 0.000 -2.998 -19.300 }} | : [[error map]]: {{val| 0.000 -2.998 -19.300 }} | ||
* [[CWE]]: ~375/256 = | * [[CWE]]: ~375/256 = 600.000, ~75/64 = 231.832 | ||
: error map: {{val| 0.000 -6.458 -18.146 }} | : error map: {{val| 0.000 -6.458 -18.146 }} | ||
{{Optimal ET sequence|legend=1| 10, 16, 26, 88cc }} | {{Optimal ET sequence|legend=1| 10, 16, 26, 88cc }} | ||
[[Badness]]: 0. | [[Badness]]: | ||
* Smith: 0.335 | |||
* Dirichlet: 7.85 | |||
== Wronecki == | == Wronecki == | ||
| Line 297: | Line 307: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~ | * [[POTE]]: ~200.000, ~3/2 = 695.040 | ||
{{Optimal ET sequence|legend=1| 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bbc }} | {{Optimal ET sequence|legend=1| 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bbc }} | ||
| Line 313: | Line 323: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~6/5 = 284.293 | ||
{{Optimal ET sequence|legend=1| 4, 17c, 21, 38c }} | {{Optimal ET sequence|legend=1| 4, 17c, 21, 38c }} | ||
| Line 329: | Line 339: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~125/96 = 458.995 | ||
{{Optimal ET sequence|legend=1| 34, 115, 149, 183, 217, 400, 617 }} | {{Optimal ET sequence|legend=1| 34, 115, 149, 183, 217, 400, 617 }} | ||
| Line 345: | Line 355: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~512/405 = 355.930 | ||
{{Optimal ET sequence|legend=1| 10, 17c, 27, 64b, 91bc, 118bc }} | {{Optimal ET sequence|legend=1| 10, 17c, 27, 64b, 91bc, 118bc }} | ||
| Line 361: | Line 371: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~5/4 = 391.225 | ||
{{Optimal ET sequence|legend=1| 3, 40, 43, 46, 181c, 227c, 273c, 319c }} | {{Optimal ET sequence|legend=1| 3, 40, 43, 46, 181c, 227c, 273c, 319c }} | ||
| Line 375: | Line 385: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~104976/78125 = 504.913 | ||
{{Optimal ET sequence|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }} | {{Optimal ET sequence|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }} | ||
| Line 391: | Line 401: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~45/32 = 580.219 | ||
{{Optimal ET sequence|legend=1| 29, 31, 60, 91 }} | {{Optimal ET sequence|legend=1| 29, 31, 60, 91 }} | ||
| Line 409: | Line 419: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~42875/32768 = | * [[POTE]]: ~42875/32768 = 600.000, ~5/4 = 383.212 | ||
{{Optimal ET sequence|legend=1| 22, 50, 72, 166, 238c, 310c, 548bc }} | {{Optimal ET sequence|legend=1| 22, 50, 72, 166, 238c, 310c, 548bc }} | ||
| Line 427: | Line 437: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~1215/1024 = 252.649 | ||
{{Optimal ET sequence|legend=1| 14, 19 }} | {{Optimal ET sequence|legend=1| 14, 19 }} | ||
| Line 443: | Line 453: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~45/32 = 585.634 | ||
{{Optimal ET sequence|legend=1| 41, 84, 125, 209, 334c, 543bc }} | {{Optimal ET sequence|legend=1| 41, 84, 125, 209, 334c, 543bc }} | ||
| Line 457: | Line 467: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~2048/1875 = 189.049 | ||
{{Optimal ET sequence|legend=1| 13, 19, 89c, 108c, 127c, 146cc }} | {{Optimal ET sequence|legend=1| 13, 19, 89c, 108c, 127c, 146cc }} | ||
| Line 473: | Line 483: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~3125/2916 = 154.523 | ||
{{Optimal ET sequence|legend=1| 8, 23, 31, 70, 101, 132c, 233c, 365bcc }} | {{Optimal ET sequence|legend=1| 8, 23, 31, 70, 101, 132c, 233c, 365bcc }} | ||
| Line 489: | Line 499: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~1594323/1562500 = 26.2342 | ||
{{Optimal ET sequence|legend=1| 45, 46, 91, 137, 183 }} | {{Optimal ET sequence|legend=1| 45, 46, 91, 137, 183 }} | ||
| Line 505: | Line 515: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~3125/2304 = 558.592 | ||
{{Optimal ET sequence|legend=1| 15, 43, 58 }} | {{Optimal ET sequence|legend=1| 15, 43, 58 }} | ||
| Line 521: | Line 531: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~3/2 = 704.179 | ||
{{Optimal ET sequence|legend=1| 29, 46, 121, 167, 455bc, 622bbc }} | {{Optimal ET sequence|legend=1| 29, 46, 121, 167, 455bc, 622bbc }} | ||
| Line 537: | Line 547: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~390625/279936 = | * [[POTE]]: ~390625/279936 = 600.000, ~6/5 = 312.713 | ||
{{Optimal ET sequence|legend=1| 4, 42, 46, 96, 142 }} | {{Optimal ET sequence|legend=1| 4, 42, 46, 96, 142 }} | ||
| Line 553: | Line 563: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~9765625/7077888 = 551.784 | ||
{{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }} | {{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }} | ||
| Line 569: | Line 579: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~16/15 = 113.240 | ||
{{Optimal ET sequence|legend=1| 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bcc }} | {{Optimal ET sequence|legend=1| 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bcc }} | ||
| Line 585: | Line 595: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~192/125 = 735.146 | ||
{{Optimal ET sequence|legend=1| 18, 31, 80, 111 }} | {{Optimal ET sequence|legend=1| 18, 31, 80, 111 }} | ||
| Line 601: | Line 611: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~27/25 = 126.724 | ||
{{Optimal ET sequence|legend=1| 19, 85c, 104c, 123, 142, 161 }} | {{Optimal ET sequence|legend=1| 19, 85c, 104c, 123, 142, 161 }} | ||
| Line 617: | Line 627: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~75/64 = 263.658 | ||
{{Optimal ET sequence|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }} | {{Optimal ET sequence|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }} | ||
| Line 633: | Line 643: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~27/25 = 72.742 | ||
{{Optimal ET sequence|legend=1| 16, 17c, 33 }} | {{Optimal ET sequence|legend=1| 16, 17c, 33 }} | ||
| Line 649: | Line 659: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~ | * [[POTE]]: ~80.000, ~3/2 = 702.652 | ||
{{Optimal ET sequence|legend=1| 15, 45, 60, 75, 135, 210c, 345cc }} | {{Optimal ET sequence|legend=1| 15, 45, 60, 75, 135, 210c, 345cc }} | ||
| Line 665: | Line 675: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~512/405 = 425.474 | ||
{{Optimal ET sequence|legend=1| 14, 17, 31, 79, 110, 361bc }} | {{Optimal ET sequence|legend=1| 14, 17, 31, 79, 110, 361bc }} | ||
| Line 681: | Line 691: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~144/125 = 222.912 | ||
{{Optimal ET sequence|legend=1| 16, 27, 43, 70, 183cc }} | {{Optimal ET sequence|legend=1| 16, 27, 43, 70, 183cc }} | ||
| Line 697: | Line 707: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2000000/1594323 = | * [[CTE]]: ~2000000/1594323 = 400.000, ~10/9 = 183.583 | ||
* [[CWE]]: ~2000000/1594323 = | * [[CWE]]: ~2000000/1594323 = 400.000, ~10/9 = 183.585 | ||
{{Optimal ET sequence|legend=1| 33c, 39, 72, 111, 183, 438, 621, 1425b }} | {{Optimal ET sequence|legend=1| 33c, 39, 72, 111, 183, 438, 621, 1425b }} | ||
[[Badness]]: 0. | [[Badness]]: | ||
* Smith: 0.752 | |||
* Dirichlet: 17.631 | |||
== Semidimi == | == Semidimi == | ||
| Line 714: | Line 726: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~162/125 = 449.127 | ||
{{Optimal ET sequence|legend=1| 8, 163, 171, 863, 1034, 1205, 1376, 1547, 1718, 4983, 6701, 8419 }} | {{Optimal ET sequence|legend=1| 8, 163, 171, 863, 1034, 1205, 1376, 1547, 1718, 4983, 6701, 8419 }} | ||
| Line 730: | Line 742: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = | * [[CTE]]: ~2 = 1200.000, ~16875/16384 = 38.380 | ||
* [[CWE]]: ~2 = | * [[CWE]]: ~2 = 1200.000, ~16875/16384 = 38.400 | ||
{{Optimal ET sequence|legend=1| 31, 94, 125, 781bcc }} | {{Optimal ET sequence|legend=1| 31, 94, 125, 781bcc }} | ||
[[Badness]]: 0. | [[Badness]]: | ||
* Smith: 0.761 | |||
* Dirichlet: 17.842 | |||
== Quasitemp == | == Quasitemp == | ||
| Line 747: | Line 761: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~3125/2592 = 292.702 | ||
{{Optimal ET sequence|legend=1| 4, 37, 41 }} | {{Optimal ET sequence|legend=1| 4, 37, 41 }} | ||
| Line 763: | Line 777: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~4374/3125 = 541.726 | ||
{{Optimal ET sequence|legend=1| 11c, 20c, 31, 113c, 144c, 175c, 381bcc }} | {{Optimal ET sequence|legend=1| 11c, 20c, 31, 113c, 144c, 175c, 381bcc }} | ||
| Line 779: | Line 793: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~25/24 = 53.922 | ||
{{Optimal ET sequence|legend=1| 22, 45, 67c, 89c }} | {{Optimal ET sequence|legend=1| 22, 45, 67c, 89c }} | ||
| Line 795: | Line 809: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~ | * [[POTE]]: ~400.000, ~16/15 = 112.281 | ||
{{Optimal ET sequence|legend=1| 21, 54, 75, 96, 171 }} | {{Optimal ET sequence|legend=1| 21, 54, 75, 96, 171 }} | ||
| Line 811: | Line 825: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~64/45 = 577.705 | ||
{{Optimal ET sequence|legend=1| 2, 25, 27 }} | {{Optimal ET sequence|legend=1| 2, 25, 27 }} | ||
| Line 827: | Line 841: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~27/25 = 146.476 | ||
{{Optimal ET sequence|legend=1| 8, 41, 131, 172, 213c }} | {{Optimal ET sequence|legend=1| 8, 41, 131, 172, 213c }} | ||
| Line 843: | Line 857: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~ | * [[POTE]]: ~600.000, ~45/32 = 554.546 | ||
{{Optimal ET sequence|legend=1| 26, 80bc, 106bc, 132bc }} | {{Optimal ET sequence|legend=1| 26, 80bc, 106bc, 132bc }} | ||
| Line 852: | Line 866: | ||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
[[Comma list]]: {{monzo|79 -22 -19}} | [[Comma list]]: {{monzo| 79 -22 -19 }} | ||
{{Mapping|legend=1| 1 1 3 | 0 19 -22 }} | {{Mapping|legend=1| 1 1 3 | 0 19 -22 }} | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.0000, ~34171875/33554432 = 36.9622 | ||
{{Optimal ET sequence|legend=1| 65, 292, 357, 422, 487, 1396c }} | {{Optimal ET sequence|legend=1| 65, 292, 357, 422, 487, 1396c }} | ||
| Line 873: | Line 887: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~ | * [[POTE]]: ~400.000, ~10/9 = 156.861 | ||
{{Optimal ET sequence|legend=1| 15, 39c, 54, 69b, 84b }} | {{Optimal ET sequence|legend=1| 15, 39c, 54, 69b, 84b }} | ||
| Line 889: | Line 903: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~6/5 = 311.694 | ||
{{Optimal ET sequence|legend=1| 23, 27, 50, 77 }} | {{Optimal ET sequence|legend=1| 23, 27, 50, 77 }} | ||
| Line 905: | Line 919: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~4096/3645 = 232.521 | ||
{{Optimal ET sequence|legend=1| 31, 98c, 129c, 160bc, 289bbcc }} | {{Optimal ET sequence|legend=1| 31, 98c, 129c, 160bc, 289bbcc }} | ||
| Line 921: | Line 935: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = | * [[CTE]]: ~2 = 1200.000, ~3662109375/2147483648 = 928.896 | ||
* [[CWE]]: ~2 = | * [[CWE]]: ~2 = 1200.000, ~3662109375/2147483648 = 928.893 | ||
{{Optimal ET sequence|legend=1| 31, …, 177, 208, 239, 270, 841, 1111, 1381, 2492c }} | {{Optimal ET sequence|legend=1| 31, …, 177, 208, 239, 270, 841, 1111, 1381, 2492c }} | ||
[[Badness]]: 1. | [[Badness]]: | ||
* Smith: 1.30 | |||
* Dirichlet: 30.581 | |||
== Diesic == | == Diesic == | ||
| Line 938: | Line 954: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~6561/6250 = 38.571 | ||
{{Optimal ET sequence|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }} | {{Optimal ET sequence|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }} | ||
| Line 954: | Line 970: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~27/25 = 137.962 | ||
{{Optimal ET sequence|legend=1| 26, 61, 87, 287, 374, 461 }} | {{Optimal ET sequence|legend=1| 26, 61, 87, 287, 374, 461 }} | ||
| Line 968: | Line 984: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~768/625 = 212.444 | ||
{{Optimal ET sequence|legend=1| 6b, 11b, 17c }} | {{Optimal ET sequence|legend=1| 6b, 11b, 17c }} | ||
| Line 984: | Line 1,000: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~864/625 = 542.208 | ||
{{Optimal ET sequence|legend=1| 11b, 20b, 31, 73, 104c, 135c }} | {{Optimal ET sequence|legend=1| 11b, 20b, 31, 73, 104c, 135c }} | ||
| Line 1,000: | Line 1,016: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~1215/1024 = 230.351 | ||
{{Optimal ET sequence|legend=1| 21, 26, 73bc, 99bc }} | {{Optimal ET sequence|legend=1| 21, 26, 73bc, 99bc }} | ||
| Line 1,013: | Line 1,029: | ||
{{Mapping|legend=1| 1 1 3 | 0 8 -9 }} | {{Mapping|legend=1| 1 1 3 | 0 8 -9 }} | ||
: | : mapping generators: ~2, ~16/15 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = | * [[CTE]]: ~2 = 1200.000, ~16/15 = 88.7331 | ||
* [[CWE]]: ~2 = | * [[CWE]]: ~2 = 1200.000, ~16/15 = 88.8168 | ||
{{Optimal ET sequence|legend=1| 13, 14, 27 }} | {{Optimal ET sequence|legend=1| 13, 14, 27 }} | ||
[[Badness]]: 1. | [[Badness]]: 1.75 | ||
== Quasimoha == | == Quasimoha == | ||
| Line 1,033: | Line 1,049: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~1048576/885735 = 348.600 | ||
{{Optimal ET sequence|legend=1| 31, 117c, 148bc, 179bc }} | {{Optimal ET sequence|legend=1| 31, 117c, 148bc, 179bc }} | ||
| Line 1,049: | Line 1,065: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~ | * [[POTE]]: ~600.000, ~3/2 = 691.455 | ||
{{Optimal ET sequence|legend=1| 14, 26, 66b, 92bc, 118bbc }} | {{Optimal ET sequence|legend=1| 14, 26, 66b, 92bc, 118bbc }} | ||
| Line 1,065: | Line 1,081: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~128/125 = | * [[POTE]]: ~128/125 = 92.308, ~3/2 = 696.142 | ||
{{Optimal ET sequence|legend=1| 13, 26, 91c }} | {{Optimal ET sequence|legend=1| 13, 26, 91c }} | ||
| Line 1,081: | Line 1,097: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~2 = | * [[POTE]]: ~2 = 1200.000, ~{{monzo| -34 23 -1 }} = 165.907 | ||
{{Optimal ET sequence|legend=1| 94, 217, 528, 745, 1273 }} | {{Optimal ET sequence|legend=1| 94, 217, 528, 745, 1273 }} | ||
| Line 1,098: | Line 1,114: | ||
{{Mapping|legend=1| 1 11 -10 | 0 -13 17 }} | {{Mapping|legend=1| 1 11 -10 | 0 -13 17 }} | ||
: | : mapping generators: ~2, ~16384/10125 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||