11L 9s

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↖ 10L 8s ↑ 11L 8s 12L 8s ↗
← 10L 9s 11L 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
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¢)

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 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

Intervals

Intervals of 11L 9s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0¢
1-mosstep Minor 1-mosstep m1ms s 0.0¢ to 60.0¢
Major 1-mosstep M1ms L 60.0¢ to 109.1¢
2-mosstep Minor 2-mosstep m2ms L + s 109.1¢ to 120.0¢
Major 2-mosstep M2ms 2L 120.0¢ to 218.2¢
3-mosstep Minor 3-mosstep m3ms L + 2s 109.1¢ to 180.0¢
Major 3-mosstep M3ms 2L + s 180.0¢ to 218.2¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 218.2¢ to 240.0¢
Major 4-mosstep M4ms 3L + s 240.0¢ to 327.3¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 218.2¢ to 300.0¢
Major 5-mosstep M5ms 3L + 2s 300.0¢ to 327.3¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 327.3¢ to 360.0¢
Major 6-mosstep M6ms 4L + 2s 360.0¢ to 436.4¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 327.3¢ to 420.0¢
Major 7-mosstep M7ms 4L + 3s 420.0¢ to 436.4¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 436.4¢ to 480.0¢
Major 8-mosstep M8ms 5L + 3s 480.0¢ to 545.5¢
9-mosstep Diminished 9-mosstep d9ms 4L + 5s 436.4¢ to 540.0¢
Perfect 9-mosstep P9ms 5L + 4s 540.0¢ to 545.5¢
10-mosstep Minor 10-mosstep m10ms 5L + 5s 545.5¢ to 600.0¢
Major 10-mosstep M10ms 6L + 4s 600.0¢ to 654.5¢
11-mosstep Perfect 11-mosstep P11ms 6L + 5s 654.5¢ to 660.0¢
Augmented 11-mosstep A11ms 7L + 4s 660.0¢ to 763.6¢
12-mosstep Minor 12-mosstep m12ms 6L + 6s 654.5¢ to 720.0¢
Major 12-mosstep M12ms 7L + 5s 720.0¢ to 763.6¢
13-mosstep Minor 13-mosstep m13ms 7L + 6s 763.6¢ to 780.0¢
Major 13-mosstep M13ms 8L + 5s 780.0¢ to 872.7¢
14-mosstep Minor 14-mosstep m14ms 7L + 7s 763.6¢ to 840.0¢
Major 14-mosstep M14ms 8L + 6s 840.0¢ to 872.7¢
15-mosstep Minor 15-mosstep m15ms 8L + 7s 872.7¢ to 900.0¢
Major 15-mosstep M15ms 9L + 6s 900.0¢ to 981.8¢
16-mosstep Minor 16-mosstep m16ms 8L + 8s 872.7¢ to 960.0¢
Major 16-mosstep M16ms 9L + 7s 960.0¢ to 981.8¢
17-mosstep Minor 17-mosstep m17ms 9L + 8s 981.8¢ to 1020.0¢
Major 17-mosstep M17ms 10L + 7s 1020.0¢ to 1090.9¢
18-mosstep Minor 18-mosstep m18ms 9L + 9s 981.8¢ to 1080.0¢
Major 18-mosstep M18ms 10L + 8s 1080.0¢ to 1090.9¢
19-mosstep Minor 19-mosstep m19ms 10L + 9s 1090.9¢ to 1140.0¢
Major 19-mosstep M19ms 11L + 8s 1140.0¢ to 1200.0¢
20-mosstep Perfect 20-mosstep P20ms 11L + 9s 1200.0¢

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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