952edo

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Revision as of 12:49, 20 January 2022 by Eliora (talk | contribs) (Created page with "952edo divides the octave into steps of 1.26 cents each. 952edo's factorization is 2<sup>3</sup> x 7 x 17, and its divisors are {{EDOs|1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68,...")
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952edo divides the octave into steps of 1.26 cents each.

952edo's factorization is 23 x 7 x 17, and its divisors are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476.

Theory

Script error: No such module "primes_in_edo". In the 2.3.13.17.19 subgroup, 952edo tempers out 793152/793117.

In the 19-limit as a whole, 952edo tempers out 1445/1444, 1540/1539.

952edo is notable for having a concoctic scale which represents a natural phenomenon - 169\952 is useful both as a cycle length for a leap week calendar and its generator. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks.

Scales

  • SouthSolstitial[169]