1224edo: Difference between revisions

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 {{EDO intro|1224}}
-==Theory==
+edo 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.
+=== Prime harmonics ===
 {{Harmonics in equal|1224}}
-edo is the optimal patent val of 19-limit semihemiennealimmal temperament with fine tunes of 23, 29 and 31.
+=== 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 }}.