11th-octave temperaments: Difference between revisions
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: Mapping generators: ~16/15, ~3 | : Mapping generators: ~16/15, ~3 | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~16/15 = 109.091¢, ~3/2 = 702.794¢ | |||
* [[CWE]]: ~16/15 = 109.091¢, ~3/2 = 702.908¢ | |||
{{Optimal ET sequence|legend=1| 22, 55, 77, 99 }} | {{Optimal ET sequence|legend=1| 22, 55, 77, 99 }} | ||
[[Badness]]: | [[Badness]] (Sintel): 10.652 | ||
=== Undekapent === | === Undekapent === | ||
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: Mapping generators: ~648/625, ~3 | : Mapping generators: ~648/625, ~3 | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~648/625 = 109.091¢, ~3/2 = 705.652¢ | |||
* [[CWE]]: ~648/625 = 109.091¢, ~3/2 = 704.698¢ | |||
{{Optimal ET sequence|legend=1| 22, 77c, 99c, 121c }} | {{Optimal ET sequence|legend=1| 22, 77c, 99c, 121c }} | ||
[[Badness]]: 0. | [[Badness]] (Sintel): 17.067 | ||
=== Elven === | |||
{{see also| Sensibeta temperaments #Elven }} | |||
This temperament has a period of 1/11 octave, which represents [[3125/2916]] in the 5-limit. | |||
[[Subgroup]]: 2.3.5 | |||
[[Comma list]]: {{monzo|-23 -66 55}} | |||
{{Mapping|legend=1| 11 2 7 | 0 5 6 }} | |||
: Mapping generators: ~3125/2916, ~{{monzo| 10 29 -24 }} | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~3125/2916 = 109.091¢, ~5/3 = 882.353¢ | |||
* [[CWE]]: ~3125/2916 = 109.091¢, ~5/3 = 882.336¢ | |||
{{Optimal ET sequence|legend=1| 121, 253, 374 }} | |||
[[Badness]] (Sintel): 429.4 | |||
== Hendeca == | == Hendeca == | ||
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{{Optimal ET sequence|legend=1| 11, 22, 55d, 77d, 99dd }} | {{Optimal ET sequence|legend=1| 11, 22, 55d, 77d, 99dd }} | ||
[[Badness]]: | [[Badness]] (Sintel): 4.371 | ||
=== 11-limit === | === 11-limit === | ||
| Line 68: | Line 92: | ||
{{Optimal ET sequence|legend=0| 11, 22, 55d, 77d, 99dd }} | {{Optimal ET sequence|legend=0| 11, 22, 55d, 77d, 99dd }} | ||
Badness: | Badness (Sintel): 2.464 | ||
== Undeka == | == Undeka == | ||
| Line 83: | Line 107: | ||
{{Optimal ET sequence|legend=1| 11c, 22 }} | {{Optimal ET sequence|legend=1| 11c, 22 }} | ||
[[Badness]]: | [[Badness]] (Sintel): 3.588 | ||
=== 11-limit === | === 11-limit === | ||
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{{Optimal ET sequence|legend=0| 11c, 22 }} | {{Optimal ET sequence|legend=0| 11c, 22 }} | ||
Badness: | Badness (Sintel): 2.270 | ||
=== 13-limit === | === 13-limit === | ||
| Line 109: | Line 133: | ||
{{Optimal ET sequence|legend=0| 11cf, 22 }} | {{Optimal ET sequence|legend=0| 11cf, 22 }} | ||
Badness: | Badness (Sintel): 2.336 | ||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||