236edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|236}} ==Theory== {{Primes in edo|236}}"
 
Expansion
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|236}}
{{EDO intro|236}}
==Theory==
 
{{Primes in edo|236}}
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.