236edo: Difference between revisions
CompactStar (talk | contribs) Created page with "{{Infobox ET}} {{EDO intro|236}} ==Theory== {{Primes in edo|236}}" |
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{{EDO intro|236}} | {{EDO intro|236}} | ||
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{{ | 236edo is [[enfactoring|enfactored]] in the 5-limit, with the same tuning as [[118edo]], defined by tempering out the [[schisma]] and the [[parakleisma]]. The 7-limit mapping is of little improvement over that of 118edo, as it leans on the very sharp side. It tempers out [[6144/6125]] and [[19683/19600]], supporting [[hemischis]]. Using the 236e [[val]] {{val| 236 374 548 663 '''817''' }}, it tempers out [[243/242]], 1375/1372, [[6250/6237]], 14700/14641 and [[16384/16335]]. | ||
The 236bb val (where fifth is flattened by single step, approximately 1/4 comma) gives a tuning very close to [[quarter-comma meantone]], although [[205edo]] is even closer. | |||
=== Prime harmonics === | |||
{{Harmonics in equal|236}} | |||
=== Subsets and supersets === | |||
Since 236 factors into 2<sup>2</sup> × 53, 236edo has subset edos {{EDOs| 2, 4, 53 and 118 }}. | |||
472edo, which doubles it, provides good correction to harmonics 7 and 11. |