18edf: Difference between revisions

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m add todo:expand w comment, add harmonics, make table collapsible
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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 [[cent|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; 5632/5625, 46656/46585, and 166698/166375 in the 11-limit, which is supported by [[31edo]], [[369edo]], [[400edo]], 431edo, and 462edo.
'''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}}