87edo: Difference between revisions
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== Scales == | == Scales == | ||
=== Harmonic scales === | === Harmonic scales === | ||
87edo accurately approximates | 87edo very accurately approximates mode up to 8 of the [[harmonic series]], and the only interval pair not distinct is 14/13 and 15/14. It can also do mode 12 decently. | ||
==== (Mode 6) ==== | |||
{| class="wikitable center-all" | |||
|- | |||
! Overtones | |||
| 12 | |||
| 14 | |||
| 16 | |||
| 18 | |||
| 20 | |||
| 22 | |||
| 24 | |||
|- | |||
! JI Ratios | |||
| 1/1 | |||
| 7/6 | |||
| 4/3 | |||
| 3/2 | |||
| 5/3 | |||
| 11/6 | |||
| 2/1 | |||
|- | |||
! … in cents | |||
| 0.0 | |||
| 266.9 | |||
| 498.0 | |||
| 702.0 | |||
| 884.4 | |||
| 1049.4 | |||
| 1200.0 | |||
|- | |||
! Degrees in 87edo | |||
| 0 | |||
| 19 | |||
| 36 | |||
| 51 | |||
| 64 | |||
| 76 | |||
| 87 | |||
|- | |||
! … in cents | |||
| 0.0 | |||
| 262.1 | |||
| 496.6 | |||
| 703.4 | |||
| 882.8 | |||
| 1048.3 | |||
| 1200.0 | |||
|} | |||
The scale in adjacent steps is '''19 17 15 13 12 11'''. | |||
==== (Mode 8) ==== | ==== (Mode 8) ==== | ||