86edo: Difference between revisions

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~~'''86edo''' is the [[~~EDO~~|equal division of the octave]] into 86 parts of 13.9535 cents each~~. 86 = 2 * 43, and the [[patent val]] is a [[contorted]] [[43edo|43]] in the 5-limit. In the 7-limit the patent val tempers out 6144/6125, so that it [[support]]s mohajira temperament. In the 11-limit it tempers out 245/242, 540/539 and 4000/3993, and in the 13-limit 144/143, 196/195 and 676/675. It provides the optimal patent val for the 13-limit 9&86 temperament tempering out 144/143, 196/195, 245/242 and 676/675.

{{EDO intro}}. 86 = 2 * 43, and the [[patent val]] is a [[contorted]] [[43edo|43]] in the 5-limit. In the 7-limit the patent val tempers out 6144/6125, so that it [[support]]s mohajira temperament. In the 11-limit it tempers out 245/242, 540/539 and 4000/3993, and in the 13-limit 144/143, 196/195 and 676/675. It provides the optimal patent val for the 13-limit 9&86 temperament tempering out 144/143, 196/195, 245/242 and 676/675.

86edo is closely related to the [[delta scale]], which is the equal division of the [[16/15|classic diatonic semitone]] into eight parts of 13.9664 cents each.

== Interval table ==

[[Category:Equal divisions of the octave|##]]

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 {{Infobox ET}}
-'''86edo''' is the [[EDO|equal division of the octave]] into 86 parts of 13.9535 cents each. 86 = 2 * 43, and the [[patent val]] is a [[contorted]] [[43edo|43]] in the 5-limit. In the 7-limit the patent val tempers out 6144/6125, so that it [[support]]s mohajira temperament. In the 11-limit it tempers out 245/242, 540/539 and 4000/3993, and in the 13-limit 144/143, 196/195 and 676/675. It provides the optimal patent val for the 13-limit 9&amp;86 temperament tempering out 144/143, 196/195, 245/242 and 676/675.
+{{EDO intro}}. 86 = 2 * 43, and the [[patent val]] is a [[contorted]] [[43edo|43]] in the 5-limit. In the 7-limit the patent val tempers out 6144/6125, so that it [[support]]s mohajira temperament. In the 11-limit it tempers out 245/242, 540/539 and 4000/3993, and in the 13-limit 144/143, 196/195 and 676/675. It provides the optimal patent val for the 13-limit 9&amp;86 temperament tempering out 144/143, 196/195, 245/242 and 676/675.
 edo is closely related to the [[delta scale]], which is the equal division of the [[16/15|classic diatonic semitone]] into eight parts of 13.9664 cents each.
 {{harmonics in equal|86}}
+== Interval table ==
+{{Interval table}}
 [[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->