|
|
| (16 intermediate revisions by 8 users not shown) |
| Line 1: |
Line 1: |
| This MOS, generated by any interval up to a diatonic semitone of 1/11edo (109.091 cents), achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5=+3 generators), Octacot (3/2=+8 generators), Nautilus (3/2=-6 generators) and Valentine (7/4=-3 generators).
| | {{Infobox MOS}} |
| | {{MOS intro}} |
|
| |
|
| {| class="wikitable"
| | This MOS achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators). |
| |-
| |
| | | 0/1
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 0
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1/15
| |
| | | 80
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1/14
| |
| | |
| |
| | | 85.714
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 2/27
| |
| | | 88.889
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1200/(10+pi)
| |
| |-
| |
| | |
| |
| | |
| |
| | | 1/13
| |
| | |
| |
| | |
| |
| | | 92.308
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1200/(10+e)
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3/38
| |
| | | 94.737
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1200/(11+phi)
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 2/25
| |
| | |
| |
| | | 96
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3/37
| |
| | | 97.297
| |
| |-
| |
| | |
| |
| | | 1/12
| |
| | |
| |
| | |
| |
| | |
| |
| | | 100
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1200/(10+sqrt(3))
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 4/47
| |
| | | 102.128
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3/35
| |
| | |
| |
| | | 102.857
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1200/(10+phi)
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 5/58
| |
| | | 103.448
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 1200/(10+pi/2)
| |
| |-
| |
| | |
| |
| | |
| |
| | | 2/23
| |
| | |
| |
| | |
| |
| | | 104.348
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 5/57
| |
| | | 105.263
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 3/34
| |
| | |
| |
| | | 105.882
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 4/45
| |
| | | 106.667
| |
| |-
| |
| | | 1/11
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 109.091
| |
| |}
| |
|
| |
|
| [[Category:Abstract MOS patterns]] | | == Scale properties == |
| | {{TAMNAMS use}} |
| | |
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 10/7 = [[Septendesemi]] |
| | | 13/8 = Golden [[ripple]] (103.288{{c}}) |
| | | 9/4 = [[Passion]] |
| | | 13/5 = Unnamed golden tuning |
| | | 11/3 = [[Octacot]] |
| | | 4/1 = [[Nuke]] |
| | | 9/2 = [[Nautilus]] |
| | | 5/1 = [[Valentine]] |
| | | 6/1 = ↓ [[Slurpee]] |
| | }} |
| | |
| | [[Category:11-tone scales]] |