86edo: Difference between revisions

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{{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.

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.

=== Odd harmonics ===

== Interval table ==

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

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 {{Infobox ET}}
-{{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 intro|86}}
-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.
+= 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.
-{{harmonics in equal|86}}
+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.
+=== Odd harmonics ===
+{{Harmonics in equal|86}}
 == Interval table ==
 {{Interval table}}
-[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->