7L 11s
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Scale structure
Step pattern
LsLssLsLssLsLssLss
ssLssLsLssLsLssLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
5\18 to 2\7 (333.3¢ to 342.9¢)
Dark
5\7 to 13\18 (857.1¢ to 866.7¢)
TAMNAMS information
Descends from
4L 3s (smitonic)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
7L 4s
Sister
11L 7s
Daughters
18L 7s, 7L 18s
Neutralized
14L 4s
2-Flought
25L 11s, 7L 29s
Equal tunings
Equalized (L:s = 1:1)
5\18 (333.3¢)
Supersoft (L:s = 4:3)
17\61 (334.4¢)
Soft (L:s = 3:2)
12\43 (334.9¢)
Semisoft (L:s = 5:3)
19\68 (335.3¢)
Basic (L:s = 2:1)
7\25 (336.0¢)
Semihard (L:s = 5:2)
16\57 (336.8¢)
Hard (L:s = 3:1)
9\32 (337.5¢)
Superhard (L:s = 4:1)
11\39 (338.5¢)
Collapsed (L:s = 1:0)
2\7 (342.9¢)
| ↖ 6L 10s | ↑ 7L 10s | 8L 10s ↗ |
| ← 6L 11s | 7L 11s | 8L 11s → |
| ↙ 6L 12s | ↓ 7L 12s | 8L 12s ↘ |
┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬┐ │║│║││║│║││║│║││║│││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLsLssLsLssLsL
7L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 11 small steps, repeating every octave. 7L 11s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 333.3¢ to 342.9¢, or from 857.1¢ to 866.7¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 17|0 | 1 | LsLssLsLssLsLssLss |
| 16|1 | 6 | LsLssLsLssLssLsLss |
| 15|2 | 11 | LsLssLssLsLssLsLss |
| 14|3 | 16 | LssLsLssLsLssLsLss |
| 13|4 | 3 | LssLsLssLsLssLssLs |
| 12|5 | 8 | LssLsLssLssLsLssLs |
| 11|6 | 13 | LssLssLsLssLsLssLs |
| 10|7 | 18 | sLsLssLsLssLsLssLs |
| 9|8 | 5 | sLsLssLsLssLssLsLs |
| 8|9 | 10 | sLsLssLssLsLssLsLs |
| 7|10 | 15 | sLssLsLssLsLssLsLs |
| 6|11 | 2 | sLssLsLssLsLssLssL |
| 5|12 | 7 | sLssLsLssLssLsLssL |
| 4|13 | 12 | sLssLssLsLssLsLssL |
| 3|14 | 17 | ssLsLssLsLssLsLssL |
| 2|15 | 4 | ssLsLssLsLssLssLsL |
| 1|16 | 9 | ssLsLssLssLsLssLsL |
| 0|17 | 14 | ssLssLsLssLsLssLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\18 | 333.333 | 866.667 | 1:1 | 1.000 | Equalized 7L 11s | |||||
| 27\97 | 334.021 | 865.979 | 6:5 | 1.200 | ||||||
| 22\79 | 334.177 | 865.823 | 5:4 | 1.250 | ||||||
| 39\140 | 334.286 | 865.714 | 9:7 | 1.286 | ||||||
| 17\61 | 334.426 | 865.574 | 4:3 | 1.333 | Supersoft 7L 11s | |||||
| 46\165 | 334.545 | 865.455 | 11:8 | 1.375 | ||||||
| 29\104 | 334.615 | 865.385 | 7:5 | 1.400 | ||||||
| 41\147 | 334.694 | 865.306 | 10:7 | 1.429 | ||||||
| 12\43 | 334.884 | 865.116 | 3:2 | 1.500 | Soft 7L 11s | |||||
| 43\154 | 335.065 | 864.935 | 11:7 | 1.571 | ||||||
| 31\111 | 335.135 | 864.865 | 8:5 | 1.600 | ||||||
| 50\179 | 335.196 | 864.804 | 13:8 | 1.625 | ||||||
| 19\68 | 335.294 | 864.706 | 5:3 | 1.667 | Semisoft 7L 11s | |||||
| 45\161 | 335.404 | 864.596 | 12:7 | 1.714 | ||||||
| 26\93 | 335.484 | 864.516 | 7:4 | 1.750 | ||||||
| 33\118 | 335.593 | 864.407 | 9:5 | 1.800 | ||||||
| 7\25 | 336.000 | 864.000 | 2:1 | 2.000 | Basic 7L 11s Scales with tunings softer than this are proper | |||||
| 30\107 | 336.449 | 863.551 | 9:4 | 2.250 | ||||||
| 23\82 | 336.585 | 863.415 | 7:3 | 2.333 | ||||||
| 39\139 | 336.691 | 863.309 | 12:5 | 2.400 | ||||||
| 16\57 | 336.842 | 863.158 | 5:2 | 2.500 | Semihard 7L 11s | |||||
| 41\146 | 336.986 | 863.014 | 13:5 | 2.600 | ||||||
| 25\89 | 337.079 | 862.921 | 8:3 | 2.667 | ||||||
| 34\121 | 337.190 | 862.810 | 11:4 | 2.750 | ||||||
| 9\32 | 337.500 | 862.500 | 3:1 | 3.000 | Hard 7L 11s | |||||
| 29\103 | 337.864 | 862.136 | 10:3 | 3.333 | ||||||
| 20\71 | 338.028 | 861.972 | 7:2 | 3.500 | ||||||
| 31\110 | 338.182 | 861.818 | 11:3 | 3.667 | ||||||
| 11\39 | 338.462 | 861.538 | 4:1 | 4.000 | Superhard 7L 11s | |||||
| 24\85 | 338.824 | 861.176 | 9:2 | 4.500 | ||||||
| 13\46 | 339.130 | 860.870 | 5:1 | 5.000 | ||||||
| 15\53 | 339.623 | 860.377 | 6:1 | 6.000 | ||||||
| 2\7 | 342.857 | 857.143 | 1:0 | → ∞ | Collapsed 7L 11s | |||||