3L 3s: Difference between revisions
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{{Infobox MOS | {{Infobox MOS | ||
| Name = trisymmetric | | Name = trisymmetric |
Revision as of 01:50, 14 April 2021
↖ 2L 2s | ↑ 3L 2s | 4L 2s ↗ |
← 2L 3s | 3L 3s | 4L 3s → |
↙ 2L 4s | ↓ 3L 4s | 4L 4s ↘ |
┌╥┬╥┬╥┬┐ │║│║│║││ ││││││││ └┴┴┴┴┴┴┘
Scale structure
sLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
Generator | Cents | Comments | ||||
---|---|---|---|---|---|---|
0\3 | 0 | |||||
1\15 | 80 | L/s = 4 | ||||
2\27 | 88.88 | Optimal augmented is around here | ||||
400/(1+pi) | ||||||
1\12 | 100 | L/s = 3 | ||||
400/(1+e) | ||||||
3\33 | 109.09 | |||||
400/(2+phi) | ||||||
2\21 | 114.29 | |||||
1\9 | 133.33 | Boundary of propriety for near-MOS
Optimum rank range (L/s=2/1) for MOS | ||||
400/(1+sqrt(3)) | ||||||
3\24 | 150 | |||||
400/(1+phi) | ||||||
5\39 | 153.85 | |||||
400/(1+pi/2) | ||||||
2\15 | 160 | |||||
1\6 | 200 |
The true MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs. The MOS is always proper but the other forms are only proper if the generator is larger than 1\9 of an octave (so not augmented).
Out of all proper six-note MOS scales, this augmented scale probably has the lowest harmonic entropy.