16th-octave temperaments: Difference between revisions
Tristanbay (talk | contribs) →Ntiscifer: Added hilarity temperament Tags: Mobile edit Mobile web edit |
Tristanbay (talk | contribs) →7-limit: minor formatting change Tags: Mobile edit Mobile web edit |
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== Hilarity == | == Hilarity == | ||
Hilarity tempers [[40/27]] to 9\16. | Hilarity, the [[80edo|80]] & [[128edo|128]] temperament, tempers [[40/27]] to 9\16. | ||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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: mapping generators: ~10460353203/10240000000, ~3 | : mapping generators: ~10460353203/10240000000, ~3 | ||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~10460353203/1024000000 = 1\16, ~3/2 = 703.422 | |||
* [[CWE]]: ~10460353203/1024000000 = 1\16, ~3/2 = 703.621 | |||
{{Optimal ET sequence|legend=1| 16cc, 32c, 48, 80, 128, 208 }} | |||
[[Badness]]: 4.22 | |||
=== 7-limit === | === 7-limit === | ||
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: mapping generators: ~392/375, ~3 | : mapping generators: ~392/375, ~3 | ||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~392/375 = 1\16, ~3/2 = 703.630 | |||
* [[CWE]]: ~392/375 = 1\16, ~3/2 = 703.817 | |||
{{Optimal ET sequence|legend=1| 32cdd, 48d, 80, 128, 208, 496bd }} | |||
[[Badness]]: 0.302 | |||
=== 11-limit === | === 11-limit === | ||
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: mapping generators: ~392/375, ~3 | : mapping generators: ~392/375, ~3 | ||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~392/375 = 1\16, ~3/2 = 703.593 | |||
* [[CWE]]: ~392/375 = 1\16, ~3/2 = 703.882 | |||
{{Optimal ET sequence|legend=1| 48d, 80, 128, 208, 288be, 496bdee }} | |||
[[Badness]]: 0.0886 | |||
=== 13-limit === | === 13-limit === | ||
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: mapping generators: ~392/375, ~3 | : mapping generators: ~392/375, ~3 | ||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~392/375 = 1\16, ~3/2 = 703.653 | |||
* [[CWE]]: ~392/375 = 1\16, ~3/2 = 703.902 | |||
{{Optimal ET sequence|legend=1| 80, 128, 208, 496bdeef }} | |||
[[Badness]]: 0.0611 | |||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||