Miscellaneous 5-limit temperaments: Difference between revisions
Don't undo what we've done |
Added preimage for periods |
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.2545 | ||
* Dirichlet: 5.970 | * Dirichlet: 5.970 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
[[CTE]]: ~2 = 1200.000, ~625/486 = 435.081 | * [[CTE]]: ~2 = 1200.000, ~625/486 = 435.081 | ||
* [[CWE]]: ~2 = 1200.000, ~625/486 = 435.081 | * [[CWE]]: ~2 = 1200.000, ~625/486 = 435.081 | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.2637 | ||
* Dirichlet: 6.185 | * Dirichlet: 6.185 | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.2726 | ||
* Dirichlet: 6.39 | * Dirichlet: 6.39 | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.3328 | ||
* Dirichlet: 7.807 | * Dirichlet: 7.807 | ||
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{{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: | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.3347 | ||
* Dirichlet: 7.85 | * Dirichlet: 7.85 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~200.000, ~3/2 = 695.040 | * [[POTE]]: ~10/9 = 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 }} | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~80.000, ~3/2 = 702.652 | * [[POTE]]: ~648/625 = 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 }} | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.7516 | ||
* Dirichlet: 17.631 | * Dirichlet: 17.631 | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 0. | * Smith: 0.7606 | ||
* Dirichlet: 17.842 | * Dirichlet: 17.842 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~400.000, ~16/15 = 112.281 | * [[POTE]]: ~1073741824/854296875 = 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 }} | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~600.000, ~45/32 = 554.546 | * [[POTE]]: ~6075/4096 = 600.000, ~45/32 = 554.546 | ||
{{Optimal ET sequence|legend=1| 26, 80bc, 106bc, 132bc }} | {{Optimal ET sequence|legend=1| 26, 80bc, 106bc, 132bc }} | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~400.000, ~10/9 = 156.861 | * [[POTE]]: ~243/200 = 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 }} | ||
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[[Badness]]: | [[Badness]]: | ||
* Smith: 1. | * Smith: 1.3036 | ||
* Dirichlet: 30.581 | * Dirichlet: 30.581 | ||
| Line 1,029: | 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: | ||
| Line 1,037: | Line 1,037: | ||
{{Optimal ET sequence|legend=1| 13, 14, 27 }} | {{Optimal ET sequence|legend=1| 13, 14, 27 }} | ||
[[Badness]]: 1. | [[Badness]]: 1.751245 | ||
== Quasimoha == | == Quasimoha == | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~600.000, ~3/2 = 691.455 | * [[POTE]]: ~98415/65536 = 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 }} | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[POTE]]: ~128/125 = 92.308, ~3/2 = 696.142 | * [[POTE]]: ~128/125 = 92.308 (1＼13), ~3/2 = 696.142 | ||
{{Optimal ET sequence|legend=1| 13, 26, 91c }} | {{Optimal ET sequence|legend=1| 13, 26, 91c }} | ||
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{{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: | ||