Octagar temperaments: Difference between revisions

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{{Mapping|legend=1| 1 2 3 3 | 0 -17 -28 -8 }}
{{Mapping|legend=1| 1 2 3 3 | 0 -17 -28 -8 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~49/48 = 29.181
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1200.252¢, ~49/48 = 29.187¢
* [[CWE]]: ~2 = 1200.000¢, ~49/48 = 29.172¢


{{Optimal ET sequence|legend=1| 41, 206, 247bc, 288bcd, 329bcd }}
{{Optimal ET sequence|legend=1| 41, 206, 247bc, 288bcd, 329bcd }}


[[Badness]]: 0.142903
[[Badness]] (Sintel): 3.616


=== 11-limit ===
=== 11-limit ===
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Mapping: {{mapping| 1 2 3 3 4 | 0 -17 -28 -8 -22 }}
Mapping: {{mapping| 1 2 3 3 4 | 0 -17 -28 -8 -22 }}


Optimal tuning (POTE): ~2 = 1200.000, ~49/48 = 29.180
Optimal tunings:
* WE: ~2 = 1199.803¢, ~49/48 = 29.175¢
* CWE: ~2 = 1200.000¢, ~49/48 = 29.188¢


{{Optimal ET sequence|legend=0| 41, 206e }}
{{Optimal ET sequence|legend=0| 41, 206e }}


Badness: 0.063217
Badness (Sintel): 2.090


=== 13-limit ===
=== 13-limit ===
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Comma list: 100/99, 144/143, 245/242, 343/338
Comma list: 100/99, 144/143, 245/242, 343/338


Mapping: {{mapping| 1 2 3 3 4 4 | 0 -17 -28 -8 -22 -1 }}
Mapping: {{mapping| 1 2 3 3 4 4 | 0 -17 -28 -8 -22 -12 }}


Optimal tuning (POTE): ~2 = 1200.000, ~49/48 = 29.125
Optimal tunings:
* WE: ~2 = 1199.091¢, ~40/39 = 29.103¢
* CWE: ~2 = 1200.000¢, ~40/39 = 29.158¢


{{Optimal ET sequence|legend=0| 41, 124ef, 165ef }}
{{Optimal ET sequence|legend=0| 41, 124ef, 165ef }}


Badness: 0.043644
Badness (Sintel): 1.803


== Slithy ==
== Slithy ==