12L 9s
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Scale structure
Step pattern
LLsLsLsLLsLsLsLLsLsLs
sLsLsLLsLsLsLLsLsLsLL
Equave
2/1 (1200.0¢)
Period
1\3 (400.0¢)
Generator size
Bright
5\21 to 3\12 (285.7¢ to 300.0¢)
Dark
1\12 to 2\21 (100.0¢ to 114.3¢)
TAMNAMS information
Descends from
3L 6s (tcherepnin)
Ancestor's step ratio range
3:2 to 2:1 (hyposoft)
Related MOS scales
Parent
9L 3s
Sister
9L 12s
Daughters
21L 12s, 12L 21s
Neutralized
3L 18s
2-Flought
33L 9s, 12L 30s
Equal tunings
Equalized (L:s = 1:1)
5\21 (285.7¢)
Supersoft (L:s = 4:3)
18\75 (288.0¢)
Soft (L:s = 3:2)
13\54 (288.9¢)
Semisoft (L:s = 5:3)
21\87 (289.7¢)
Basic (L:s = 2:1)
8\33 (290.9¢)
Semihard (L:s = 5:2)
19\78 (292.3¢)
Hard (L:s = 3:1)
11\45 (293.3¢)
Superhard (L:s = 4:1)
14\57 (294.7¢)
Collapsed (L:s = 1:0)
3\12 (300.0¢)
| ↖ 11L 8s | ↑ 12L 8s | 13L 8s ↗ |
| ← 11L 9s | 12L 9s | 13L 9s → |
| ↙ 11L 10s | ↓ 12L 10s | 13L 10s ↘ |
┌╥╥┬╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║│║║│║│║│║║│║│║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLLsLsLsLLsLsLsLL
12L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 9 small steps, with a period of 4 large steps and 3 small steps that repeats every 400.0¢, or 3 times every octave. 12L 9s is a grandchild scale of 3L 6s, expanding it by 12 tones. Generators that produce this scale range from 285.7¢ to 300¢, or from 100¢ to 114.3¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0(3) | 1 | LLsLsLsLLsLsLsLLsLsLs |
| 15|3(3) | 6 | LsLLsLsLsLLsLsLsLLsLs |
| 12|6(3) | 4 | LsLsLLsLsLsLLsLsLsLLs |
| 9|9(3) | 2 | LsLsLsLLsLsLsLLsLsLsL |
| 6|12(3) | 7 | sLLsLsLsLLsLsLsLLsLsL |
| 3|15(3) | 5 | sLsLLsLsLsLLsLsLsLLsL |
| 0|18(3) | 3 | sLsLsLLsLsLsLLsLsLsLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\21 | 285.714 | 114.286 | 1:1 | 1.000 | Equalized 12L 9s | |||||
| 28\117 | 287.179 | 112.821 | 6:5 | 1.200 | ||||||
| 23\96 | 287.500 | 112.500 | 5:4 | 1.250 | ||||||
| 41\171 | 287.719 | 112.281 | 9:7 | 1.286 | ||||||
| 18\75 | 288.000 | 112.000 | 4:3 | 1.333 | Supersoft 12L 9s | |||||
| 49\204 | 288.235 | 111.765 | 11:8 | 1.375 | ||||||
| 31\129 | 288.372 | 111.628 | 7:5 | 1.400 | ||||||
| 44\183 | 288.525 | 111.475 | 10:7 | 1.429 | ||||||
| 13\54 | 288.889 | 111.111 | 3:2 | 1.500 | Soft 12L 9s | |||||
| 47\195 | 289.231 | 110.769 | 11:7 | 1.571 | ||||||
| 34\141 | 289.362 | 110.638 | 8:5 | 1.600 | ||||||
| 55\228 | 289.474 | 110.526 | 13:8 | 1.625 | ||||||
| 21\87 | 289.655 | 110.345 | 5:3 | 1.667 | Semisoft 12L 9s | |||||
| 50\207 | 289.855 | 110.145 | 12:7 | 1.714 | ||||||
| 29\120 | 290.000 | 110.000 | 7:4 | 1.750 | ||||||
| 37\153 | 290.196 | 109.804 | 9:5 | 1.800 | ||||||
| 8\33 | 290.909 | 109.091 | 2:1 | 2.000 | Basic 12L 9s Scales with tunings softer than this are proper | |||||
| 35\144 | 291.667 | 108.333 | 9:4 | 2.250 | ||||||
| 27\111 | 291.892 | 108.108 | 7:3 | 2.333 | ||||||
| 46\189 | 292.063 | 107.937 | 12:5 | 2.400 | ||||||
| 19\78 | 292.308 | 107.692 | 5:2 | 2.500 | Semihard 12L 9s | |||||
| 49\201 | 292.537 | 107.463 | 13:5 | 2.600 | ||||||
| 30\123 | 292.683 | 107.317 | 8:3 | 2.667 | ||||||
| 41\168 | 292.857 | 107.143 | 11:4 | 2.750 | ||||||
| 11\45 | 293.333 | 106.667 | 3:1 | 3.000 | Hard 12L 9s | |||||
| 36\147 | 293.878 | 106.122 | 10:3 | 3.333 | ||||||
| 25\102 | 294.118 | 105.882 | 7:2 | 3.500 | ||||||
| 39\159 | 294.340 | 105.660 | 11:3 | 3.667 | ||||||
| 14\57 | 294.737 | 105.263 | 4:1 | 4.000 | Superhard 12L 9s | |||||
| 31\126 | 295.238 | 104.762 | 9:2 | 4.500 | ||||||
| 17\69 | 295.652 | 104.348 | 5:1 | 5.000 | ||||||
| 20\81 | 296.296 | 103.704 | 6:1 | 6.000 | ||||||
| 3\12 | 300.000 | 100.000 | 1:0 | → ∞ | Collapsed 12L 9s | |||||