24ed7: Difference between revisions

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-'''[[Ed7|Division of the 7th harmonic]] into 24 equal parts''' (24ed7) is related to the [[Hemifamity temperaments|quanic temperament]], which is a [[cluster temperament]] with nine clusters of notes in an octave. The step size is about 140.3677 cents, corresponding to 8.5490 [[edo]].
+'''[[Ed7|Division of the 7th harmonic]] into 24 equal parts''' (24ed7) is related to the [[Hemifamity temperaments|quanic temperament]], which tempers out 352/351, 540/539, 729/728, and 1331/1323 in the 13-limit; 352/351, 442/441, 540/539, 561/560, and 715/714 in the 17-limit; 253/252, 345/343, 352/351, 391/390, 442/441, and 460/459 in the 2.3.5.7.11.13.17.23 subgroup. The step size is about 140.3677 cents, corresponding to 8.5490 [[edo]].
 {| class="wikitable"
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 | | 18
 | | 2526.6194
-| | 30/7, 77/18, 56/13
+| | 56/13
 | |
 |-
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 | | [[7/4|harmonic seventh]] plus two octaves
 |}
-==24ed7 as a generator==
-ed7 can also be thought of as a [[generator]] of the quanic temperament, which tempers out 352/351, 540/539, 729/728, and 1331/1323 in the 13-limit; 352/351, 442/441, 540/539, 561/560, and 715/714 in the 17-limit; 253/252, 345/343, 352/351, 391/390, 442/441, and 460/459 in the 2.3.5.7.11.13.17.23 subgroup.
 [[Category:Ed7]]
 [[Category:Edonoi]]