18edf: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''18EDF''' is the [[EDF|equal division of the just perfect fifth]] into 18 parts of 38.9975 [[ | '''18EDF''' is the [[EDF|equal division of the just perfect fifth]] into 18 parts of 38.9975 [[cents]] each, corresponding to 30.7712 [[edo]]. | ||
It is related to the [[regular temperament]] which [[tempers out]] 2401/2400 and 8589934592/8544921875 in the [[7-limit]]; with 5632/5625, 46656/46585, and 166698/166375 in the [[11-limit]], which is supported by [[31edo]], [[369edo]], [[400edo]], [[431edo]], and [[462edo]]. | |||
Lookalikes: [[31edo]], [[49edt]], [[72ed5]], [[80ed6]] | Lookalikes: [[31edo]], [[49edt]], [[72ed5]], [[80ed6]] | ||
==Harmonics== | |||
{{Harmonics in equal|18|3|2|intervals=prime}} | |||
==Intervals== | ==Intervals== | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 18edf | |||
|- | |- | ||
! | degree | ! | degree | ||
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EDOs: 31, 369, 400, 431, 462 | EDOs: 31, 369, 400, 431, 462 | ||
{{todo|expand|comment=say what the temperaments are like and why one would want to use them, and for what}} | |||