369edo: Difference between revisions

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-The 369 equal division divides the octave into 369 equal parts of 3.252 cents each. It tempers out 2401/2400 and 4375/4374 in the 7-limit, so that it supports ennealimmal temperament; in the 11-limit, 4000/3993 and 5632/5625. 369 provides the [[Optimal_patent_val|optimal patent val]] for both the 11-limit 21&amp;109 temperament and the 65&amp;152 temperament. 369 factors as 3^2 * 41.
+The '''369 equal divisions of the octave''' divides the octave into 369 [[equal]] parts of 3.252 [[cent]]s each.
+== Theory ==
+edo tempers out [[2401/2400]] and [[4375/4374]] in the 7-limit, so that it supports the [[ennealimmal]] temperament; in the 11-limit, [[4000/3993]], [[5632/5625]] and [[16384/16335]]. It provides the [[optimal patent val]] for the 11-limit 21&amp;109 temperament, the 65&amp;152 temperament, and the rank-4 temperament tempering out 16384/16335, the semiporwellisma, as well as the no-7 subgroup version of it.
+factors as 3<sup>2</sup> × 41, with subset edos 3, 9, 41, and 123.
+=== Prime harmonics ===
+{{Primes in edo|369}}
+[[Category:Equal divisions of the octave]]
+[[Category:Semiporwellismic]]