43edo: Difference between revisions
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== Scales == | == Scales == | ||
{{main|List of MOS scales in 43edo | {{main|List of MOS scales in 43edo|5- to 10-tone scales in 43edo}} | ||
=== 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 (195.349¢) stands in for frequency ratio [[9/8]] (203.910¢) and [[10/9]] (182.404¢). | * 7\43 (195.349¢) stands in for frequency ratio [[9/8]] (203.910¢) and [[10/9]] (182.404¢). | ||
*6\43 (156.522¢) stands in for [[11/10]] (165.004¢) | * 6\43 (156.522¢) stands in for [[11/10]] (165.004¢) | ||
* 5\46 (130.435¢) stands in for [[12/11]] (150.637¢), [[13/12]] (138.573¢), and [[14/13]] (128.298¢). | * 5\46 (130.435¢) stands in for [[12/11]] (150.637¢), [[13/12]] (138.573¢), and [[14/13]] (128.298¢). | ||
*4\43 (111.628¢) stands in for [[15/14]] (119.443¢) and [[16/15]] (111.731¢). | * 4\43 (111.628¢) stands in for [[15/14]] (119.443¢) and [[16/15]] (111.731¢). | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
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