43edo: Difference between revisions
→Approximation to JI: -zeta peak index |
m no need for 3 digit precision here |
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=== Harmonic scales === | === Harmonic scales === | ||
43edo represents the first 16 overtones of the [[harmonic series]] well (written as a ratio of 8:9:10:11:12:13:14:15:16 in [[just intonation]]) with degrees 0, 7, 14, 20, 25, 30, 35, 39, and 43, and scale steps of 7, 7, 6, 5, 5, 5, 4, and 4. | 43edo represents the first 16 overtones of the [[harmonic series]] well (written as a ratio of 8:9:10:11:12:13:14:15:16 in [[just intonation]]) with degrees 0, 7, 14, 20, 25, 30, 35, 39, and 43, and scale steps of 7, 7, 6, 5, 5, 5, 4, and 4. | ||
* 7\43 (195. | * 7\43 (195.3¢) stands in for frequency ratio [[9/8]] (203.9¢) and [[10/9]] (182.4¢). | ||
* 6\43 (156. | * 6\43 (156.5¢) stands in for [[11/10]] (165.0¢). | ||
* 5\46 (130. | * 5\46 (130.4¢) stands in for [[12/11]] (150.6¢), [[13/12]] (138.6¢), and [[14/13]] (128.3¢). | ||
* 4\43 (111. | * 4\43 (111.6¢) stands in for [[15/14]] (119.4¢) and [[16/15]] (111.7¢). | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||