Schismic–commatic equivalence continuum: Difference between revisions
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POTE -> CTE and CWE since all of these are new items. +intro to sextile. Dirichlet -> smith badness for heptacot until dirichlet is properly documented. |
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[CTE]]: ~2 = 1\1, ~3/2 = 699.1680 | ||
* [[CWE]]: ~2 = 1\1, ~3/2 = 699.0789 | |||
{{Optimal ET sequence|legend=1| 12, …, 79, 91, 103 }} | {{Optimal ET sequence|legend=1| 12, …, 79, 91, 103 }} | ||
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== Sextile == | == Sextile == | ||
{{See also| Landscape microtemperaments #Sextile }} | {{See also| Landscape microtemperaments #Sextile }} | ||
The 5-limit version of sextile reaches the interval class of 5 by -6 perfect fifths minus a period of 1/6-octave. | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[CTE]]: ~4096/3645 = 1\6, ~3/2 = 702.2627 (~4428675/4194304 = 97.7373) | ||
* [[CWE]]: ~4096/3645 = 1\6, ~3/2 = 702.2434 (~4428675/4194304 = 97.7566) | |||
{{Multival|legend=1| 6 -36 -77 }} | {{Multival|legend=1| 6 -36 -77 }} | ||
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== Heptacot == | == Heptacot == | ||
Heptacot tempers out the [[heptacot comma]] and divides the fifth into seven equal parts, the most notable example being [[12edo]] (7\12). | Heptacot tempers out the [[heptacot comma]] and divides the fifth into seven equal parts, the most notable example being [[12edo]] (7\12). | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: 2 = 1\1, ~{{monzo| -37 19 3 }} = 100. | * [[CTE]]: ~2 = 1\1, ~{{monzo| -37 19 3 }} = 100.3094 | ||
* [[CWE]]: ~2 = 1\1, ~{{monzo| -37 19 3 }} = 100.3076 | |||
{{Optimal ET sequence|legend=1| 12, …, 287, 299, 311, 323, 981, 1304, 5539bc, 6843bbcc }} | {{Optimal ET sequence|legend=1| 12, …, 287, 299, 311, 323, 981, 1304, 5539bc, 6843bbcc }} | ||
[[Badness]] | [[Badness]]: 0.683 | ||
[[Category:12edo]] | [[Category:12edo]] | ||
[[Category:Equivalence continua]] | [[Category:Equivalence continua]] | ||