Mint temperaments: Difference between revisions
m Units & misc. cleanup. - redundant category |
Switch to WE & CWE tunings |
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| Line 28: | Line 28: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = | * [[WE]]: ~2 = 1186.8093{{c}}, ~7/6 = 237.3390{{c}} | ||
: [[error map]]: {{val| -13.191 -3.129 +61.983 -45.851 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~7/6 = 231.845{{c}} | |||
: error map: {{val| 0.000 +6.291 +85.850 -24.498 }} | |||
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 236.0819{{c}} | |||
: [[error map]]: {{val| 0.000 -6.421 +77.376 -41.447 }} | : [[error map]]: {{val| 0.000 -6.421 +77.376 -41.447 }} | ||
* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 239.977{{c}} | * [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 239.977{{c}} | ||
: error map: {{val| 0.000 +17.976 +93.640 -8.918 }} | : error map: {{val| 0.000 +17.976 +93.640 -8.918 }} --> | ||
{{Optimal ET sequence|legend=1| 1bd, …, 4bcd, 5 }} | {{Optimal ET sequence|legend=1| 1bd, …, 4bcd, 5 }} | ||
| Line 51: | Line 55: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000{{c}}, ~15/14 = 138.611{{c}} | * [[WE]]: ~2 = 1193.9544{{c}}, ~15/14 = 140.2169{{c}} | ||
: [[error map]]: {{val| -6.046 -6.916 +22.246 +0.601 }} | |||
* [[CWE]]: ~2 = 1200.000{{c}}, ~15/14 = 139.8991{{c}} | |||
: error map: {{val| 0.000 -2.460 +33.384 +10.468 }} | |||
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~15/14 = 138.611{{c}} | |||
: [[error map]]: {{val| 0.000 -8.900 +29.519 +1.451 }} | : [[error map]]: {{val| 0.000 -8.900 +29.519 +1.451 }} | ||
* [[POTE]]: ~2 = 1200.000{{c}}, ~15/14 = 140.927{{c}} | * [[POTE]]: ~2 = 1200.000{{c}}, ~15/14 = 140.927{{c}} | ||
: error map: {{val| 0.000 +2.680 +36.467 +17.663 }} | : error map: {{val| 0.000 +2.680 +36.467 +17.663 }} --> | ||
{{Optimal ET sequence|legend=1| 8d, 9, 17c }} | {{Optimal ET sequence|legend=1| 8d, 9, 17c }} | ||
| Line 68: | Line 76: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~12/11 = 138.556{{c}} | * WE: ~2 = 1194.7089{{c}}, ~12/11 = 140.1262{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~12/11 = 140.747{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~12/11 = 139.8776{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~12/11 = 138.556{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~12/11 = 140.747{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, 9, 17c }} | {{Optimal ET sequence|legend=0| 8d, 9, 17c }} | ||
| Line 83: | Line 93: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.741{{c}} | * WE: ~2 = 1195.3694{{c}}, ~13/12 = 140.2080{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.751{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~13/12 = 139.9749{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.741{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.751{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, 9, 17c }} | {{Optimal ET sequence|legend=0| 8d, 9, 17c }} | ||
| Line 98: | Line 110: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.649{{c}} | * WE: ~2 = 1193.8350{{c}}, ~13/12 = 140.6779{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 141.404{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~13/12 = 140.5885{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.649{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 141.404{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | {{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | ||
| Line 113: | Line 127: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.750{{c}} | * WE: ~2 = 1196.1446{{c}}, ~13/12 = 140.0276{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.479{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~13/12 = 140.0301{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.750{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.479{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | {{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | ||
| Line 127: | Line 143: | ||
[[Comma list]]: 36/35, 1029/1000 | [[Comma list]]: 36/35, 1029/1000 | ||
{{Mapping|legend=1| 1 3 | {{Mapping|legend=1| 1 -3 -3 -1 | 0 6 7 5 }} | ||
: mapping generators: ~2, ~ | : mapping generators: ~2, ~5/3 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000{{c}}, ~ | * [[WE]]: ~2 = 1197.5285{{c}}, ~5/3 = 915.8950{{c}} | ||
: [[error map]]: {{val| -2.471 -11.171 +18.366 +3.121 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 915.4228{{c}} | |||
: error map: {{val| 0.000 -9.418 +21.646 +8.288 }} | |||
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~5/3 = 915.014{{c}} | |||
: [[error map]]: {{val| 0.000 -11.870 +18.785 +6.245 }} | : [[error map]]: {{val| 0.000 -11.870 +18.785 +6.245 }} | ||
* [[POTE]]: ~2 = 1200.000{{c}}, ~ | * [[POTE]]: ~2 = 1200.000{{c}}, ~5/3 = 915.781{{c}} | ||
: error map: {{val| 0.000 -7.268 +24.154 +10.080 }} | : error map: {{val| 0.000 -7.268 +24.154 +10.080 }} --> | ||
{{Optimal ET sequence|legend=1| 4, 13cd, 17c, 21, 38c }} | {{Optimal ET sequence|legend=1| 4, 13cd, 17c, 21, 38c }} | ||
| Line 145: | Line 165: | ||
Comma list: 36/35, 77/75, 352/343 | Comma list: 36/35, 77/75, 352/343 | ||
Mapping: {{mapping| 1 3 | Mapping: {{mapping| 1 -3 -3 -1 -8 | 0 6 7 5 15 }} | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~ | * WE: ~2 = 1196.3345{{c}}, ~5/3 = 913.9469{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~ | * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 916.2970{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 915.735{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~5/3 = 916.747{{c}} --> | |||
{{Optimal ET sequence|legend=0| 4e, …, 13cdee, 17c }} | {{Optimal ET sequence|legend=0| 4e, …, 13cdee, 17c }} | ||
| Line 160: | Line 182: | ||
Comma list: 26/25, 36/35, 66/65, 352/343 | Comma list: 26/25, 36/35, 66/65, 352/343 | ||
Mapping: {{mapping| 1 3 4 4 7 7 | 0 | Mapping: {{mapping| 1 3 4 4 7 7 | 0 6 7 5 15 14 }} | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~ | * WE: ~2 = 1196.0784{{c}}, ~5/3 = 914.1466{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~ | * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 916.6712{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 916.082{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~5/3 = 917.144{{c}} --> | |||
{{Optimal ET sequence|legend=0| 4ef, …, 13cdeef, 17c }} | {{Optimal ET sequence|legend=0| 4ef, …, 13cdeef, 17c }} | ||
| Line 175: | Line 199: | ||
Comma list: 36/35, 56/55, 1029/1000 | Comma list: 36/35, 56/55, 1029/1000 | ||
Mapping: {{mapping| 1 3 | Mapping: {{mapping| 1 -3 -3 -1 5 | 0 6 7 5 -2 }} | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~ | * WE: ~2 = 1196.3809{{c}}, ~5/3 = 913.4153{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~ | * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 915.8804{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 915.130{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~5/3 = 916.178{{c}} --> | |||
{{Optimal ET sequence|legend=0| 4, 17c | {{Optimal ET sequence|legend=0| 4, 13cd, 17c, 38ce }} | ||
Badness (Sintel): 1.56 | Badness (Sintel): 1.56 | ||
| Line 190: | Line 216: | ||
Comma list: 36/35, 56/55, 66/65, 640/637 | Comma list: 36/35, 56/55, 66/65, 640/637 | ||
Mapping: {{mapping| 1 3 | Mapping: {{mapping| 1 -3 -3 -1 5 6 | 0 6 7 5 -2 -3 }} | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~7/6 = 284.758{{c}} | * WE: ~2 = 1196.5477{{c}}, ~5/3 = 913.4822{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~7/6 = 283.882{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 915.9416{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~7/6 = 284.758{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~7/6 = 283.882{{c}} --> | |||
{{Optimal ET sequence|legend=0| 4, 17c, 38ce }} | {{Optimal ET sequence|legend=0| 4, 17c, 38ce }} | ||
| Line 207: | Line 235: | ||
[[Comma list]]: 36/35, 9604/9375 | [[Comma list]]: 36/35, 9604/9375 | ||
{{Mapping|legend=1| 1 | {{Mapping|legend=1| 1 -4 -2 -4 | 0 9 7 11 }} | ||
: mapping generators: ~2, ~ | : mapping generators: ~2, ~75/49 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[WE]]: ~2 = 1195.8807{{c}}, ~75/49 = 741.8522{{c}} | ||
: [[error map]]: {{val| | : [[error map]]: {{val| -4.119 -8.808 +14.890 +8.026 }} | ||
* [[CWE]]: ~2 = 1200. | * [[CWE]]: ~2 = 1200.0000{{c}}, ~75/49 = 743.9885{{c}} | ||
: error map: {{val| 0.000 | : error map: {{val| 0.000 -6.059 +21.606 +15.047 }} | ||
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~75/49 = 743.506{{c}} | |||
: [[error map]]: {{val| 0.000, -10.401, +18.228, +9.740 }} --> | |||
{{Optimal ET sequence|legend=1| 8d, | {{Optimal ET sequence|legend=1| 8d, 21, 29cd }} | ||
[[Badness]] (Sintel): 2.89 | [[Badness]] (Sintel): 2.89 | ||
| Line 225: | Line 255: | ||
Comma list: 36/35, 56/55, 2541/2500 | Comma list: 36/35, 56/55, 2541/2500 | ||
Mapping: {{mapping| 1 | Mapping: {{mapping| 1 -4 -2 -4 1 | 0 9 7 11 4 }} | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~2 = 1194.3937{{c}}, ~75/49 = 741.2117{{c}} | ||
* | * CWE: ~2 = 1200.0000{{c}}, ~75/49 = 744.2018{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~75/49 = 743.375{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, | {{Optimal ET sequence|legend=0| 8d, 21, 29cde }} | ||
Badness (Sintel): 1.95 | Badness (Sintel): 1.95 | ||
| Line 240: | Line 271: | ||
Comma list: 36/35, 56/55, 66/65, 507/500 | Comma list: 36/35, 56/55, 66/65, 507/500 | ||
Mapping: {{mapping| 1 | Mapping: {{mapping| 1 -4 -2 -4 1 0 | 0 9 7 11 4 6 }} | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~2 = 1193.8564{{c}}, ~20/13 = 740.9635{{c}} | ||
* | * CWE: ~2 = 1200.0000{{c}}, ~20/13 = 744.2703{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~20/13 = 743.233{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, | {{Optimal ET sequence|legend=0| 8d, 21, 29cdef }} | ||
Badness (Sintel): 1.55 | Badness (Sintel): 1.55 | ||
| Line 255: | Line 287: | ||
Comma list: 36/35, 51/50, 56/55, 66/65, 170/169 | Comma list: 36/35, 51/50, 56/55, 66/65, 170/169 | ||
Mapping: {{mapping| 1 | Mapping: {{mapping| 1 -4 -2 -4 1 0 1 | 0 9 7 11 4 6 5 }} | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~2 = 1194.2330{{c}}, ~20/13 = 741.1242{{c}} | ||
* | * CWE: ~2 = 1200.0000{{c}}, ~20/13 = 744.2679{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~20/13 = 743.179{{c}} --> | |||
{{Optimal ET sequence|legend=0| 8d, | {{Optimal ET sequence|legend=0| 8d, 21, 29cdef }} | ||
Badness (Sintel): 1.43 | Badness (Sintel): 1.43 | ||
| Line 276: | Line 309: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.776{{c}} | * [[WE]]: ~2 = 1197.9281{{c}}, ~21/20 = 72.1780{{c}} | ||
: [[error map]]: {{val| -2.072 -11.345 +13.512 +8.424 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/20 = 72.4941{{c}} | |||
: error map: {{val| 0.000 -9.414 +16.251 +13.692 }} | |||
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.776{{c}} | |||
: [[error map]]: {{val| 0.000 -11.385 +13.153 +12.847 }} | : [[error map]]: {{val| 0.000 -11.385 +13.153 +12.847 }} | ||
* [[POTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.303{{c}} | * [[POTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.303{{c}} | ||
: error map: {{val| 0.000 -8.075 +18.355 +14.265 }} | : error map: {{val| 0.000 -8.075 +18.355 +14.265 }} --> | ||
{{Optimal ET sequence|legend=1| 16, 17c, 33 }} | {{Optimal ET sequence|legend=1| 16, 17c, 33 }} | ||
| Line 293: | Line 330: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.681{{c}} | * WE: ~2 = 1198.4220{{c}}, ~21/20 = 72.2015{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.297{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~21/20 = 72.4470{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.681{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.297{{c}} --> | |||
{{Optimal ET sequence|legend=0| 16, 17c, 33 }} | {{Optimal ET sequence|legend=0| 16, 17c, 33 }} | ||
| Line 308: | Line 347: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.653{{c}} | * WE: ~2 = 1199.0238{{c}}, ~21/20 = 72.3506{{c}} | ||
* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.409{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~21/20 = 72.4956{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.653{{c}} | |||
* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.409{{c}} --> | |||
{{Optimal ET sequence|legend=0| 16, 17c, 33 }} | {{Optimal ET sequence|legend=0| 16, 17c, 33 }} | ||
| Line 323: | Line 364: | ||
{{Mapping|legend=1| 1 0 18 -16 | 0 1 -10 12 }} | {{Mapping|legend=1| 1 0 18 -16 | 0 1 -10 12 }} | ||
: mapping generators: ~2, ~3 | : mapping generators: ~2, ~3 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[WE]]: ~2 = 1202.4397{{c}}, ~3/2 = 682.6219{{c}} | ||
: [[error map]]: {{val| | : [[error map]]: {{val| +2.440 -16.893 +6.986 +12.877 }} | ||
* [[CWE]]: ~2 = 1200. | * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 681.2447{{c}} | ||
: error map: {{val| 0.000 -20.710 +1.239 +6.110 }} | : error map: {{val| 0.000 -20.710 +1.239 +6.110 }} | ||
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 681.278{{c}} | |||
: [[error map]]: {{val| 0.000 -20.677 +0.906 +6.510 }} --> | |||
{{Optimal ET sequence|legend=1| 7, 30b, 37b }} | {{Optimal ET sequence|legend=1| 7, 30b, 37b }} | ||
| Line 344: | Line 386: | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~2 = 1202.0285{{c}}, ~3/2 = 682.4922{{c}} | ||
* | * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 681.3267{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 681.254{{c}} --> | |||
{{Optimal ET sequence|legend=0| 7, 30b, 37b }} | {{Optimal ET sequence|legend=0| 7, 30b, 37b }} | ||
| Line 359: | Line 402: | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~2 = 1201.4928{{c}}, ~3/2 = 682.1188{{c}} | ||
* | * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 681.2669{{c}} | ||
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 681.237{{c}} --> | |||
{{Optimal ET sequence|legend=0| 7, 30b, 37b }} | {{Optimal ET sequence|legend=0| 7, 30b, 37b }} | ||