1224edo: Difference between revisions

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{{EDO intro|1224}}
{{EDO intro|1224}}


1224edo is [[Enfactoring|enfactored]] in the 11-limit, with the same tuning as [[612edo]], but it corrects the harmonics [[13/1|13]] and [[17/1|17]] to work better with the other harmonics. It provides the [[optimal patent val]] for the 19-limit semihemiennealimmal temperament with fine tunes of 23, 29 and 31.
1224edo is [[Enfactoring|enfactored]] in the 11-limit, with the same tuning as [[612edo]], but it corrects the [[harmonic]]s [[13/1|13]] and [[17/1|17]] to work better with the flat tendency of the lower harmonics. It provides the [[optimal patent val]] for the 19-limit semihemiennealimmal temperament with fine tunes of [[23/1|23]], [[29/1|29]] and [[31/1|31]].


=== Prime harmonics ===
=== Prime harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 1224 factors into 2<sup>3</sup> × 3<sup>2</sup> × 17, 1224edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, and 612 }}.
Since 1224 factors into {{factorization|1224}}, 1224edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, and 612 }}.