441edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET|Zeta=yes}} | ||
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One step of 441edo is also of a size close to [[625/624]], the tunbarsma. | One step of 441edo is also of a size close to [[625/624]], the tunbarsma. | ||
Coincidentally, it's a product of two Mersenne numbers, which could be an interesting fact to some. [[217edo]], which is closely related to 441 through the [[brahmagupta]] temperament (and by extension to [[224edo|224]]), is also a product of two Mersenne numbers, which are also primes. | |||
=== Prime harmonics === | === Prime harmonics === | ||
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441 factors into primes as {{nowrap| 3<sup>2</sup> × 7<sup>2</sup> }}, and 441edo has subset edos {{EDOs| 3, 7, 9, 21, 49, 63 and 147 }}. | 441 factors into primes as {{nowrap| 3<sup>2</sup> × 7<sup>2</sup> }}, and 441edo has subset edos {{EDOs| 3, 7, 9, 21, 49, 63 and 147 }}. | ||
[[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. | [[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 == | ||