7315edo: Difference between revisions
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{{EDO intro|7315}} | {{EDO intro|7315}} | ||
7315edo is [[consistent]] up to the [[27-odd-limit]]. 7315 = 11 × 665, and 7315edo shares its [[3/ | 7315edo is [[consistent]] up to the [[27-odd-limit]]. 7315 = 11 × 665, and 7315edo shares its excellent approximation to [[harmonic]] [[3/1|3]] with [[665edo]]. It has a sharp tendency, with most lower harmonics tuned sharp. In the 13-limit it [[tempering out|tempers out]] [[123201/123200]]; in the 17-limit, [[14400/14399]] and [[194481/194480]]; in the 19-limit, 14080/14079, 23409/23408, 27456/27455, 89376/89375; in the 23-limit, 23276/23275, 52326/52325 among others. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 7315 factors into {{factorization|7315}}, 7315edo contains subset edos 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, and 1463. | Since 7315 factors into {{factorization|7315}}, 7315edo contains subset edos 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, and 1463. | ||