27edo: Difference between revisions

BudjarnLambeth (talk | contribs)
Other scales: Add overtone scales
BudjarnLambeth (talk | contribs)
Overtone scales: added more JI scales, listed them as edo steps instead of step pattern so readers can easily pick smaller chords out of them if they so wish
Line 1,168: Line 1,168:
* Myna[19] [[4L 15s]] (gen = 7\27): 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1
* Myna[19] [[4L 15s]] (gen = 7\27): 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1


=== Overtone scales ===
=== JI chords ===
These are those [[overtone scale]]s 27edo approximates with neat-looking [[horogram]]s, which preserves their [[mapping]] well when rotated:
These are those [[overtone scale]]s 27edo approximates with neat-looking [[horogram]]s, which preserves their [[mapping]] well when rotated:
* [[5afdo]] (rotated): 6 5 5 4 7
* [[5afdo]] (rotated): 6 5 5 4 7
Line 1,177: Line 1,177:
* [[18afdo]]: 2 2 2 2 2 1 2 1 2 1 2 1 1 1 2 1 1 1
* [[18afdo]]: 2 2 2 2 2 1 2 1 2 1 2 1 1 1 2 1 1 1
* [[21afdo]]: 2 2 1 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1
* [[21afdo]]: 2 2 1 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1
These are other [[JI]] chords that 27edo approximates well:
; [[12afdo]] without 17/12
* (11 tones)
* JI - 12:13:14:15:16:18:19:20:21:22:23:24
* Included edosteps - 0, 3, 6, 9, 11, 16, 18, 22, 24, 25, 27
; an over-13 chord
* (9 tones)
* JI - 13:14:16:18:19:20:21:23:24:26
* Included edosteps - 0, 3, 8, 13, 15, 17, 19, 22, 24, 27
; an over-14 chord
* (9 tones)
* JI - 14:16:18:19:20:21:23:24:26:28
* Included edosteps - 0, 5, 10, 12, 14, 16, 19, 21, 24, 27


=== Other scales ===
=== Other scales ===