11L 9s
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Scale structure
Step pattern
LLsLsLsLsLLsLsLsLsLs
sLsLsLsLsLLsLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
9\20 to 5\11 (540.0¢ to 545.5¢)
Dark
6\11 to 11\20 (654.5¢ to 660.0¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Ancestor's step ratio range
3:2 to 2:1 (hyposoft)
Related MOS scales
Parent
9L 2s
Sister
9L 11s
Daughters
20L 11s, 11L 20s
Neutralized
2L 18s
2-Flought
31L 9s, 11L 29s
Equal tunings
Equalized (L:s = 1:1)
9\20 (540.0¢)
Supersoft (L:s = 4:3)
32\71 (540.8¢)
Soft (L:s = 3:2)
23\51 (541.2¢)
Semisoft (L:s = 5:3)
37\82 (541.5¢)
Basic (L:s = 2:1)
14\31 (541.9¢)
Semihard (L:s = 5:2)
33\73 (542.5¢)
Hard (L:s = 3:1)
19\42 (542.9¢)
Superhard (L:s = 4:1)
24\53 (543.4¢)
Collapsed (L:s = 1:0)
5\11 (545.5¢)
| ↖ 10L 8s | ↑ 11L 8s | 12L 8s ↗ |
| ← 10L 9s | 11L 9s | 12L 9s → |
| ↙ 10L 10s | ↓ 11L 10s | 12L 10s ↘ |
┌╥╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║║│║│║│║│║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLLsLsLsLsLL
11L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 9 small steps, repeating every octave. 11L 9s is a grandchild scale of 2L 7s, expanding it by 11 tones. Generators that produce this scale range from 540¢ to 545.5¢, or from 654.5¢ to 660¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 19|0 | 1 | LLsLsLsLsLLsLsLsLsLs |
| 18|1 | 10 | LLsLsLsLsLsLLsLsLsLs |
| 17|2 | 19 | LsLLsLsLsLsLLsLsLsLs |
| 16|3 | 8 | LsLLsLsLsLsLsLLsLsLs |
| 15|4 | 17 | LsLsLLsLsLsLsLLsLsLs |
| 14|5 | 6 | LsLsLLsLsLsLsLsLLsLs |
| 13|6 | 15 | LsLsLsLLsLsLsLsLLsLs |
| 12|7 | 4 | LsLsLsLLsLsLsLsLsLLs |
| 11|8 | 13 | LsLsLsLsLLsLsLsLsLLs |
| 10|9 | 2 | LsLsLsLsLLsLsLsLsLsL |
| 9|10 | 11 | LsLsLsLsLsLLsLsLsLsL |
| 8|11 | 20 | sLLsLsLsLsLLsLsLsLsL |
| 7|12 | 9 | sLLsLsLsLsLsLLsLsLsL |
| 6|13 | 18 | sLsLLsLsLsLsLLsLsLsL |
| 5|14 | 7 | sLsLLsLsLsLsLsLLsLsL |
| 4|15 | 16 | sLsLsLLsLsLsLsLLsLsL |
| 3|16 | 5 | sLsLsLLsLsLsLsLsLLsL |
| 2|17 | 14 | sLsLsLsLLsLsLsLsLLsL |
| 1|18 | 3 | sLsLsLsLLsLsLsLsLsLL |
| 0|19 | 12 | sLsLsLsLsLLsLsLsLsLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 9\20 | 540.000 | 660.000 | 1:1 | 1.000 | Equalized 11L 9s | |||||
| 50\111 | 540.541 | 659.459 | 6:5 | 1.200 | ||||||
| 41\91 | 540.659 | 659.341 | 5:4 | 1.250 | ||||||
| 73\162 | 540.741 | 659.259 | 9:7 | 1.286 | ||||||
| 32\71 | 540.845 | 659.155 | 4:3 | 1.333 | Supersoft 11L 9s | |||||
| 87\193 | 540.933 | 659.067 | 11:8 | 1.375 | ||||||
| 55\122 | 540.984 | 659.016 | 7:5 | 1.400 | ||||||
| 78\173 | 541.040 | 658.960 | 10:7 | 1.429 | ||||||
| 23\51 | 541.176 | 658.824 | 3:2 | 1.500 | Soft 11L 9s | |||||
| 83\184 | 541.304 | 658.696 | 11:7 | 1.571 | ||||||
| 60\133 | 541.353 | 658.647 | 8:5 | 1.600 | ||||||
| 97\215 | 541.395 | 658.605 | 13:8 | 1.625 | ||||||
| 37\82 | 541.463 | 658.537 | 5:3 | 1.667 | Semisoft 11L 9s | |||||
| 88\195 | 541.538 | 658.462 | 12:7 | 1.714 | ||||||
| 51\113 | 541.593 | 658.407 | 7:4 | 1.750 | ||||||
| 65\144 | 541.667 | 658.333 | 9:5 | 1.800 | ||||||
| 14\31 | 541.935 | 658.065 | 2:1 | 2.000 | Basic 11L 9s Scales with tunings softer than this are proper | |||||
| 61\135 | 542.222 | 657.778 | 9:4 | 2.250 | ||||||
| 47\104 | 542.308 | 657.692 | 7:3 | 2.333 | ||||||
| 80\177 | 542.373 | 657.627 | 12:5 | 2.400 | ||||||
| 33\73 | 542.466 | 657.534 | 5:2 | 2.500 | Semihard 11L 9s | |||||
| 85\188 | 542.553 | 657.447 | 13:5 | 2.600 | ||||||
| 52\115 | 542.609 | 657.391 | 8:3 | 2.667 | ||||||
| 71\157 | 542.675 | 657.325 | 11:4 | 2.750 | ||||||
| 19\42 | 542.857 | 657.143 | 3:1 | 3.000 | Hard 11L 9s | |||||
| 62\137 | 543.066 | 656.934 | 10:3 | 3.333 | ||||||
| 43\95 | 543.158 | 656.842 | 7:2 | 3.500 | ||||||
| 67\148 | 543.243 | 656.757 | 11:3 | 3.667 | ||||||
| 24\53 | 543.396 | 656.604 | 4:1 | 4.000 | Superhard 11L 9s | |||||
| 53\117 | 543.590 | 656.410 | 9:2 | 4.500 | ||||||
| 29\64 | 543.750 | 656.250 | 5:1 | 5.000 | ||||||
| 34\75 | 544.000 | 656.000 | 6:1 | 6.000 | ||||||
| 5\11 | 545.455 | 654.545 | 1:0 | → ∞ | Collapsed 11L 9s | |||||
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