User:Dummy index/3rd-tritave temperaments: Difference between revisions
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[[Comma list]]: 245/243, 2197/2187 | [[Comma list]]: 245/243, 2197/2187 | ||
[[Sval]] [[mapping]]: {{mapping| 3 5 5 7 | 0 -2 1 0 }} | [[Sval]] [[mapping]]: {{mapping| 3 1 7 7 | 0 2 -1 0 }} | ||
Sval mapping ([[mingen]]): {{mapping| 3 5 5 7 | 0 -2 1 0 }} | |||
Sval mapping generators: ~13/9, ~13/7 | |||
[[Optimal tuning]] ([[CWE]]): ~13/9 = 1\3edt, ~13/7 = 1074.663 | |||
[[Support]]ing [[ET]]s: 39, 9, 30, 69, 21, 108, 48, 99, 12, 51, 147, 87, 57[-5], 129 | |||
Badness (Dirichlet): 0.269 | |||
==== 3.5.7.11.13 ==== | ==== 3.5.7.11.13 ==== | ||
This tempers out threedie, DPC(5/3,9/7) and DPC(5:7:11). | |||
Subgroup: 3.5.7.11.13 | Subgroup: 3.5.7.11.13 | ||
Comma list: 245/243, | Comma list: 245/243, 275/273, 9295/9261 | ||
Sval mapping: {{mapping| 3 5 5 5 7 | 0 -2 1 5 0 }} | Sval mapping: {{mapping| 3 1 7 15 7 | 0 2 -1 -5 0 }} | ||
Sval mapping (mingen): {{mapping| 3 5 5 5 7 | 0 -2 1 5 0 }} | |||
Sval mapping generators: ~13/9, ~13/7 | |||
Optimal tuning (CWE): ~13/9 = 1\3edt, ~13/7 = 1073.060 | |||
Supporting ETs: 39, 9, 30, 48, 69[-11], 108[-11], 87, 21[-11], 147[-11], 126[-5], 99[-11], 186[-11], 165[-5], 225[-5, -7, -11] | |||
Badness (Dirichlet): 0.525 | |||
==== strong extension 3.5.7.11.13 (b39 & b30e) ==== | ==== strong extension 3.5.7.11.13 (b39 & b30e) ==== | ||
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Subgroup: 3.5.7.11.13 | Subgroup: 3.5.7.11.13 | ||
Comma list: 245/243, | Comma list: 245/243, 1625/1617, 1875/1859 | ||
Sval mapping: {{mapping| 3 1 7 -7 7 | 0 2 -1 8 0 }} | |||
Sval mapping (mingen): {{mapping| 3 5 5 9 7 | 0 -2 1 -8 0 }} | |||
Sval mapping generators: ~13/9, ~13/7 | |||
Optimal tuning (CWE): ~13/9 = 1\3edt, ~13/7 = 1073.481 | |||
Supporting ETs: 39, 9[-11], 30[+11], 69, 108, 48[-11], 147, 87[-11], 186, 225[-5, -7], 126[-5, -11], 264[-5, -7], 165[-5, -11], 303[-5, -7] | |||
Badness (Dirichlet): 0.713 | |||
==== weak extension 3.5.7.11.13 (b39 & b60) ==== | ==== weak extension 3.5.7.11.13 (b39 & b60) ==== | ||
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Subgroup: 3.5.7.11.13 | Subgroup: 3.5.7.11.13 | ||
Comma list: 245/243, | Comma list: 245/243, 1575/1573, 847/845 | ||
Sval mapping: {{mapping| 3 5 5 7 7 | 0 -4 2 -3 0 }} | Sval mapping: {{mapping| 3 1 7 4 7 | 0 4 -2 3 0 }} | ||
Sval mapping (mingen): {{mapping| 3 5 5 7 7 | 0 -4 2 -3 0 }} | |||
Sval mapping generators: ~13/9, ~15/11 | |||
Optimal tuning (CWE): ~13/9 = 1\3edt, ~15/11 = 537.359 | |||
Supporting ETs: 39, 21, 60, 99, 18, 138, 177[-7], 57[-5], 216[-7], 81, 159[-7], 96[-5, -11], 237[-7], 255[-5, -7, -11] | |||
Badness (Dirichlet): 0.447 | |||
=== Sirius III (b39 & b6, b39 & b45) === | === Sirius III (b39 & b6, b39 & b45) === | ||
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==== 3.5.7.11.13 Suhail ==== | ==== 3.5.7.11.13 Suhail ==== | ||
{{main| | {{main|Suhail}} | ||
=== b9 & b6 === | === b9 & b6 === | ||
| Line 100: | Line 141: | ||
Sval mapping: {{mapping| 3 4 3 5 7 | 0 1 6 4 0 }} | Sval mapping: {{mapping| 3 4 3 5 7 | 0 1 6 4 0 }} | ||
== External links == | |||
*[https://x31eq.com/pyscript/more.html?r=2&limit=3_5_7_13&error=6.2] | |||
*[https://x31eq.com/pyscript/more.html?r=2&limit=3_5_7_11_13&error=4.0] | |||
<!-- b30 & b6, b30 & b45, b9 & b45 --> | <!-- b30 & b6, b30 & b45, b9 & b45 --> | ||
{{stub}} | {{stub}} | ||