46edo: Difference between revisions

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=== Harmonic scales ===
=== Harmonic scales ===
46edo represents [[harmonic series|overtones]] 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.
46edo represents [[harmonic series|overtones]] 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. This corresponds to scale steps of 8, 7, 6, 6, 5, 5, 5, 4.
* 8\46 (208.696¢) stands in for frequency ratio [[9/8]] (203.910¢).
* 8\46 (208.696 ¢) stands in for frequency ratio [[9/8]] (203.910¢).
* 7\46 (182.609¢) stands in for [[10/9]] (182.404¢).
* 7\46 (182.609 ¢) stands in for [[10/9]] (182.404¢).
* 6\46 (156.522¢) stands in for [[11/10]] (165.004¢) and [[12/11]] (150.637¢).
* 6\46 (156.522 ¢) stands in for [[11/10]] (165.004¢) and [[12/11]] (150.637¢).
* 5\46 (130.435¢) stands in for [[13/12]] (138.573¢), [[14/13]] (128.298¢) and [[15/14]] (119.443¢).
* 5\46 (130.435 ¢) stands in for [[13/12]] (138.573¢), [[14/13]] (128.298¢) and [[15/14]] (119.443¢).
* 4\46 (104.348¢) stands in for [[16/15]] (111.731¢).
* 4\46 (104.348 ¢) stands in for [[16/15]] (111.731¢).
{| class="wikitable center-all"
{| class="wikitable center-all"
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