11L 9s

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↖ 10L 8s ↑11L 8s 12L 8s ↗
← 10L 9s11L 9s 12L 9s →
↙ 10L 10s ↓11L 10s 12L 10s ↘
┌╥╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬╥┬┐
│║║│║│║│║│║║│║│║│║│║││
││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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)
Required 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
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¢)

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

Modes of 11L 9s
UDP Rotational 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

Scale Tree and Tuning Spectrum of 11L 9s
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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