5040edo: Difference between revisions
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Created page with "'''5040 equal divisions of the octave''' divides the octave into steps of 0.238 cents each. == Theory == 5040 is both a superabundant and a highly composite number, meaning it..." |
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'''5040 equal divisions of the octave''' divides the octave into steps of 0.238 cents each. | '''5040 equal divisions of the octave''' divides the octave into steps of 0.238 cents each. | ||
== Theory == | == Theory == | ||
{{Primes in edo|5040|columns=20}} | |||
5040 is both a superabundant and a highly composite number, meaning it's 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. | 5040 is both a superabundant and a highly composite number, meaning it's 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. | ||
5040 is [[contorted]] order-4 in the 3-limit and contorted order-2 in the 5-limit in the 5040c val. It tempers out [[9801/9800]] in the 11-limit. | The best subgroup in the patent val for 5040edo is 2.7.13.17.29.31.41.47.61.67. | ||
5040 is [[contorted]] order-4 in the 3-limit and contorted order-2 in the 5-limit in the 5040c val. In the 5040cdd val, it is contorted order 2 in the 7-limit and tempers out [[2401/2400]] and [[4375/4374]]. It tempers out [[9801/9800]] in the 11-limit. | |||
Revision as of 12:59, 29 November 2021
5040 equal divisions of the octave divides the octave into steps of 0.238 cents each.
Theory
Script error: No such module "primes_in_edo". 5040 is both a superabundant and a highly composite number, meaning it's 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 best subgroup in the patent val for 5040edo is 2.7.13.17.29.31.41.47.61.67.
5040 is contorted order-4 in the 3-limit and contorted order-2 in the 5-limit in the 5040c val. In the 5040cdd val, it is contorted order 2 in the 7-limit and tempers out 2401/2400 and 4375/4374. It tempers out 9801/9800 in the 11-limit.