261edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
expand, also remove links to temperaments where 261 isn't explicitly listed in val lists - clarify those? |
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{{ED intro}} | {{ED intro}} | ||
261edo is [[consistent]] in the [[7-odd-limit]] and shares its harmonic 3 with [[29edo]], though with a significant error. Like other small EDO multiples of 29, it tunes the [[mystery]] temperament. A comma basis for the 7-limit is {10976/10935, 15625/15552, 2097152/2083725}. It is also [[enfactoring|enfactored]] in the 2.5.11 subgroup, inheriting it from [[87edo]] which it triples. | |||
261edo's patent val supports and is part of the [[optimal ET sequence]] for the [[diatessic]] temperament in the 11- and 13-limit, [[novemkleismic]] in the 7-limit and the 11-limit. 261ccdee val, {{val|261 414 '''605''' '''732''' '''904'''}} supports the [[superkleismic]] temperament. | |||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|261}} | {{Harmonics in equal|261}} | ||
{{ | === Subsets and supersets === | ||
Since 261 factors as {{Factorization|261}}, 261edo has subset edos {{EDOs|1, 3, 9, 29, 87}}. | |||
[[783edo]], which divides each edostep in three, provides a strong correction for harmonics 3 and 7. | |||
[[Category:Novemkleismic]] | |||
[[Category:Diatessic]] | [[Category:Diatessic]] | ||