11L 12s
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Scale structure
Step pattern
LsLsLsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
2\23 to 1\11 (104.3¢ to 109.1¢)
Dark
10\11 to 21\23 (1090.9¢ to 1095.7¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Required step ratio range
2:1 to 5:2 (minihard)
Related MOS scales
Parent
11L 1s
Sister
12L 11s
Daughters
23L 11s
11L 23s
Equal tunings
Equalized (L:s = 1:1)
2\23 (104.3¢)
Supersoft (L:s = 4:3)
7\80 (105.0¢)
Soft (L:s = 3:2)
5\57 (105.3¢)
Semisoft (L:s = 5:3)
8\91 (105.5¢)
Basic (L:s = 2:1)
3\34 (105.9¢)
Semihard (L:s = 5:2)
7\79 (106.3¢)
Hard (L:s = 3:1)
4\45 (106.7¢)
Superhard (L:s = 4:1)
5\56 (107.1¢)
Collapsed (L:s = 1:0)
1\11 (109.1¢)
| ↖10L 11s | ↑11L 11s | 12L 11s↗ |
| ←10L 12s | 11L 12s | 12L 12s→ |
| ↙10L 13s | ↓11L 13s | 12L 13s↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsLsLsLsLsLsLsL
11L 23s
11L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 12 small steps, repeating every octave. 11L 12s is a great-grandchild scale of 1L 9s, expanding it by 13 tones. Generators that produce this scale range from 104.3¢ to 109.1¢, or from 1090.9¢ to 1095.7¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 22|0 | 1 | LsLsLsLsLsLsLsLsLsLsLss |
| 21|1 | 3 | LsLsLsLsLsLsLsLsLsLssLs |
| 20|2 | 5 | LsLsLsLsLsLsLsLsLssLsLs |
| 19|3 | 7 | LsLsLsLsLsLsLsLssLsLsLs |
| 18|4 | 9 | LsLsLsLsLsLsLssLsLsLsLs |
| 17|5 | 11 | LsLsLsLsLsLssLsLsLsLsLs |
| 16|6 | 13 | LsLsLsLsLssLsLsLsLsLsLs |
| 15|7 | 15 | LsLsLsLssLsLsLsLsLsLsLs |
| 14|8 | 17 | LsLsLssLsLsLsLsLsLsLsLs |
| 13|9 | 19 | LsLssLsLsLsLsLsLsLsLsLs |
| 12|10 | 21 | LssLsLsLsLsLsLsLsLsLsLs |
| 11|11 | 23 | sLsLsLsLsLsLsLsLsLsLsLs |
| 10|12 | 2 | sLsLsLsLsLsLsLsLsLsLssL |
| 9|13 | 4 | sLsLsLsLsLsLsLsLsLssLsL |
| 8|14 | 6 | sLsLsLsLsLsLsLsLssLsLsL |
| 7|15 | 8 | sLsLsLsLsLsLsLssLsLsLsL |
| 6|16 | 10 | sLsLsLsLsLsLssLsLsLsLsL |
| 5|17 | 12 | sLsLsLsLsLssLsLsLsLsLsL |
| 4|18 | 14 | sLsLsLsLssLsLsLsLsLsLsL |
| 3|19 | 16 | sLsLsLssLsLsLsLsLsLsLsL |
| 2|20 | 18 | sLsLssLsLsLsLsLsLsLsLsL |
| 1|21 | 20 | sLssLsLsLsLsLsLsLsLsLsL |
| 0|22 | 22 | ssLsLsLsLsLsLsLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\23 | 104.348 | 1095.652 | 1:1 | 1.000 | Equalized 11L 12s | |||||
| 11\126 | 104.762 | 1095.238 | 6:5 | 1.200 | ||||||
| 9\103 | 104.854 | 1095.146 | 5:4 | 1.250 | ||||||
| 16\183 | 104.918 | 1095.082 | 9:7 | 1.286 | ||||||
| 7\80 | 105.000 | 1095.000 | 4:3 | 1.333 | Supersoft 11L 12s | |||||
| 19\217 | 105.069 | 1094.931 | 11:8 | 1.375 | ||||||
| 12\137 | 105.109 | 1094.891 | 7:5 | 1.400 | ||||||
| 17\194 | 105.155 | 1094.845 | 10:7 | 1.429 | ||||||
| 5\57 | 105.263 | 1094.737 | 3:2 | 1.500 | Soft 11L 12s | |||||
| 18\205 | 105.366 | 1094.634 | 11:7 | 1.571 | ||||||
| 13\148 | 105.405 | 1094.595 | 8:5 | 1.600 | ||||||
| 21\239 | 105.439 | 1094.561 | 13:8 | 1.625 | ||||||
| 8\91 | 105.495 | 1094.505 | 5:3 | 1.667 | Semisoft 11L 12s | |||||
| 19\216 | 105.556 | 1094.444 | 12:7 | 1.714 | ||||||
| 11\125 | 105.600 | 1094.400 | 7:4 | 1.750 | ||||||
| 14\159 | 105.660 | 1094.340 | 9:5 | 1.800 | ||||||
| 3\34 | 105.882 | 1094.118 | 2:1 | 2.000 | Basic 11L 12s Scales with tunings softer than this are proper | |||||
| 13\147 | 106.122 | 1093.878 | 9:4 | 2.250 | ||||||
| 10\113 | 106.195 | 1093.805 | 7:3 | 2.333 | ||||||
| 17\192 | 106.250 | 1093.750 | 12:5 | 2.400 | ||||||
| 7\79 | 106.329 | 1093.671 | 5:2 | 2.500 | Semihard 11L 12s | |||||
| 18\203 | 106.404 | 1093.596 | 13:5 | 2.600 | ||||||
| 11\124 | 106.452 | 1093.548 | 8:3 | 2.667 | ||||||
| 15\169 | 106.509 | 1093.491 | 11:4 | 2.750 | ||||||
| 4\45 | 106.667 | 1093.333 | 3:1 | 3.000 | Hard 11L 12s | |||||
| 13\146 | 106.849 | 1093.151 | 10:3 | 3.333 | ||||||
| 9\101 | 106.931 | 1093.069 | 7:2 | 3.500 | ||||||
| 14\157 | 107.006 | 1092.994 | 11:3 | 3.667 | ||||||
| 5\56 | 107.143 | 1092.857 | 4:1 | 4.000 | Superhard 11L 12s | |||||
| 11\123 | 107.317 | 1092.683 | 9:2 | 4.500 | ||||||
| 6\67 | 107.463 | 1092.537 | 5:1 | 5.000 | ||||||
| 7\78 | 107.692 | 1092.308 | 6:1 | 6.000 | ||||||
| 1\11 | 109.091 | 1090.909 | 1:0 | → ∞ | Collapsed 11L 12s | |||||
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