11L 9s

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↖ 10L 8s ↑ 11L 8s 12L 8s ↗
← 10L 9s 11L 9s 12L 9s →
↙ 10L 10s ↓ 11L 10s 12L 10s ↘ 
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│║║│║│║│║│║║│║│║│║│║││
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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
Related to 2L 7s (balzano)
With tunings 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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.

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 ¢

Generator chain

Generator chain of 11L 9s
Bright gens Scale degree Abbrev.
30 Augmented 10-mosdegree A10md
29 Augmented 1-mosdegree A1md
28 Augmented 12-mosdegree A12md
27 Augmented 3-mosdegree A3md
26 Augmented 14-mosdegree A14md
25 Augmented 5-mosdegree A5md
24 Augmented 16-mosdegree A16md
23 Augmented 7-mosdegree A7md
22 Augmented 18-mosdegree A18md
21 Augmented 9-mosdegree A9md
20 Augmented 0-mosdegree A0md
19 Augmented 11-mosdegree A11md
18 Major 2-mosdegree M2md
17 Major 13-mosdegree M13md
16 Major 4-mosdegree M4md
15 Major 15-mosdegree M15md
14 Major 6-mosdegree M6md
13 Major 17-mosdegree M17md
12 Major 8-mosdegree M8md
11 Major 19-mosdegree M19md
10 Major 10-mosdegree M10md
9 Major 1-mosdegree M1md
8 Major 12-mosdegree M12md
7 Major 3-mosdegree M3md
6 Major 14-mosdegree M14md
5 Major 5-mosdegree M5md
4 Major 16-mosdegree M16md
3 Major 7-mosdegree M7md
2 Major 18-mosdegree M18md
1 Perfect 9-mosdegree P9md
0 Perfect 0-mosdegree
Perfect 20-mosdegree		 P0md
P20md
−1 Perfect 11-mosdegree P11md
−2 Minor 2-mosdegree m2md
−3 Minor 13-mosdegree m13md
−4 Minor 4-mosdegree m4md
−5 Minor 15-mosdegree m15md
−6 Minor 6-mosdegree m6md
−7 Minor 17-mosdegree m17md
−8 Minor 8-mosdegree m8md
−9 Minor 19-mosdegree m19md
−10 Minor 10-mosdegree m10md
−11 Minor 1-mosdegree m1md
−12 Minor 12-mosdegree m12md
−13 Minor 3-mosdegree m3md
−14 Minor 14-mosdegree m14md
−15 Minor 5-mosdegree m5md
−16 Minor 16-mosdegree m16md
−17 Minor 7-mosdegree m7md
−18 Minor 18-mosdegree m18md
−19 Diminished 9-mosdegree d9md
−20 Diminished 20-mosdegree d20md
−21 Diminished 11-mosdegree d11md
−22 Diminished 2-mosdegree d2md
−23 Diminished 13-mosdegree d13md
−24 Diminished 4-mosdegree d4md
−25 Diminished 15-mosdegree d15md
−26 Diminished 6-mosdegree d6md
−27 Diminished 17-mosdegree d17md
−28 Diminished 8-mosdegree d8md
−29 Diminished 19-mosdegree d19md
−30 Diminished 10-mosdegree d10md

Modes

Scale degrees of the modes of 11L 9s
UDP Cyclic
order 		Step
pattern 		Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
19|0 1 LLsLsLsLsLLsLsLsLsLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
18|1 10 LLsLsLsLsLsLLsLsLsLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
17|2 19 LsLLsLsLsLsLLsLsLsLs Perf. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
16|3 8 LsLLsLsLsLsLsLLsLsLs Perf. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Perf. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
15|4 17 LsLsLLsLsLsLsLLsLsLs Perf. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Perf. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
14|5 6 LsLsLLsLsLsLsLsLLsLs Perf. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Perf.
13|6 15 LsLsLsLLsLsLsLsLLsLs Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Maj. Maj. Maj. Perf.
12|7 4 LsLsLsLLsLsLsLsLsLLs Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Perf.
11|8 13 LsLsLsLsLLsLsLsLsLLs Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Maj. Perf.
10|9 2 LsLsLsLsLLsLsLsLsLsL Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Maj. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf.
9|10 11 LsLsLsLsLsLLsLsLsLsL Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf.
8|11 20 sLLsLsLsLsLLsLsLsLsL Perf. Min. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf. Maj. Min. Maj. Min. Maj. Min. Maj. Min. Perf.
7|12 9 sLLsLsLsLsLsLLsLsLsL Perf. Min. Min. Maj. Min. Maj. Min. Maj. Min. Perf. Min. Perf. Min. Min. Maj. Min. Maj. Min. Maj. Min. Perf.
6|13 18 sLsLLsLsLsLsLLsLsLsL Perf. Min. Min. Min. Min. Maj. Min. Maj. Min. Perf. Min. Perf. Min. Min. Maj. Min. Maj. Min. Maj. Min. Perf.
5|14 7 sLsLLsLsLsLsLsLLsLsL Perf. Min. Min. Min. Min. Maj. Min. Maj. Min. Perf. Min. Perf. Min. Min. Min. Min. Maj. Min. Maj. Min. Perf.
4|15 16 sLsLsLLsLsLsLsLLsLsL Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Perf. Min. Perf. Min. Min. Min. Min. Maj. Min. Maj. Min. Perf.
3|16 5 sLsLsLLsLsLsLsLsLLsL Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Perf.
2|17 14 sLsLsLsLLsLsLsLsLLsL Perf. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Maj. Min. Perf.
1|18 3 sLsLsLsLLsLsLsLsLsLL Perf. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Perf.
0|19 12 sLsLsLsLsLLsLsLsLsLL Perf. Min. Min. Min. Min. Min. Min. Min. Min. Dim. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Perf.

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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