441edo: Difference between revisions

Cleanup; clarify the title row of the rank-2 temp table; +music
Adopt template: Factorization; note 882edo
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=== Subsets and supersets ===
=== Subsets and supersets ===
441 factors into primes as 3<sup>2</sup> × 7<sup>2</sup>, and 441edo has divisors {{EDOs| 3, 7, 9, 21, 49, 63 and 147 }}.
441 factors into primes as {{factorization|441}}, and 441edo has divisors {{EDOs| 3, 7, 9, 21, 49, 63 and 147 }}.  


[[1323edo]], which divides the edostep into three, is the smallest distinctly consistent edo in the 29-odd-limit and thus provides good correction for prime harmonics from 11 to 29.
[[882edo]], which doubles it, gives an alternative mapping for harmonics 11 and 17. [[1323edo]], which divides the edostep into three, is the smallest distinctly consistent edo in the 29-odd-limit and thus provides good correction for prime harmonics from 11 to 29.


== Selected intervals ==
== Selected intervals ==
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== Scales ==
== Scales ==
Scales used in Etude in G Akjayland, in order of size:
Scales used in ''Etude in G Akjayland'', in order of size:


* Balzano-200[9]: 77 41 41 41 77 41 41 41 41 ([[2L 7s]], generator = 200\441)
* Balzano-200[9]: 77 41 41 41 77 41 41 41 41 ([[2L 7s]], generator = 200\441)