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. In steps-in-between, that's 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¢). | ||
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* 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" | |||
|- | |||
! Harmonic | |||
! Note (starting from C) | |||
|- | |||
! 1 | |||
| style="font-size: 16px;" | C | |||
|- | |||
! 3 | |||
| style="font-size: 16px;" | G | |||
|- | |||
! 5 | |||
| style="font-size: 16px;" | E{{naturaldown|40x40px}} | |||
|- | |||
! 7 | |||
| style="font-size: 16px;" | B{{flatdown|40x40px}} | |||
|- | |||
! 9 | |||
| style="font-size: 16px;" | D | |||
|- | |||
! 11 | |||
| style="font-size: 16px;" | F{{naturalup2|40x40px}} | |||
|- | |||
! 13 | |||
| style="font-size: 16px;" | A{{flatup2|40x40px}} | |||
|- | |||
! 15 | |||
| style="font-size: 16px;" | B{{naturaldown|40x40px}} | |||
|} | |||
== Instruments == | == Instruments == | ||