5040edo: Difference between revisions

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-is both a superabundant and a highly composite number, meaning its amount of symmetrical chords and subscales increases to a record, and the amount of notes which make up those scales, if stretched end-to-end, also is largest relative to the number's size.
+is both a superabundant and a highly composite number, meaning its amount of symmetrical chords and subscales increases to a record, and the amount of notes which make up those scales, if stretched end-to-end, also is largest relative to the number's size. The abundance index of 5040 is about 2.84, or exactly 298/105.
 The best subgroup in the patent val for 5040edo is 2.7.13.17.29.31.41.47.61.67.
-is [[contorted]] order-4 in the 3-limit and contorted order-2 in the 5-limit in the 5040c val.  In the 5040cdd val, {{val|5040 7988 '''11072''' '''14148'''}}, it is contorted order 2 in the 7-limit and tempers out [[2401/2400]] and [[4375/4374]]. Under such a val, the 5th harmonic comes from [[315edo]], and the 7th ultimately derives from [[140edo]].
 It tempers out [[9801/9800]] in the 11-limit.