11L 7s

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↖ 10L 6s ↑ 11L 6s 12L 6s ↗
← 10L 7s 11L 7s 12L 7s →
↙ 10L 8s ↓ 11L 8s 12L 8s ↘ 
┌╥╥┬╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬┐
│║║│║║│║│║║│║│║║│║││
││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLsLLsLsLLsLs
sLsLLsLsLLsLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\18 to 8\11 (866.7 ¢ to 872.7 ¢)
Dark 3\11 to 5\18 (327.3 ¢ to 333.3 ¢)
TAMNAMS information
Descends from 4L 3s (smitonic)
Ancestor's step ratio range 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 7L 4s
Sister 7L 11s
Daughters 18L 11s, 11L 18s
Neutralized 4L 14s
2-Flought 29L 7s, 11L 25s
Equal tunings
Equalized (L:s = 1:1) 13\18 (866.7 ¢)
Supersoft (L:s = 4:3) 47\65 (867.7 ¢)
Soft (L:s = 3:2) 34\47 (868.1 ¢)
Semisoft (L:s = 5:3) 55\76 (868.4 ¢)
Basic (L:s = 2:1) 21\29 (869.0 ¢)
Semihard (L:s = 5:2) 50\69 (869.6 ¢)
Hard (L:s = 3:1) 29\40 (870.0 ¢)
Superhard (L:s = 4:1) 37\51 (870.6 ¢)
Collapsed (L:s = 1:0) 8\11 (872.7 ¢)

11L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 7 small steps, repeating every octave. 11L 7s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 866.7 ¢ to 872.7 ¢, or from 327.3 ¢ to 333.3 ¢.

Modes

Modes of 11L 7s
UDP Cyclic
order		 Step
pattern
17|0 1 LLsLLsLsLLsLsLLsLs
16|1 14 LLsLsLLsLLsLsLLsLs
15|2 9 LLsLsLLsLsLLsLLsLs
14|3 4 LLsLsLLsLsLLsLsLLs
13|4 17 LsLLsLLsLsLLsLsLLs
12|5 12 LsLLsLsLLsLLsLsLLs
11|6 7 LsLLsLsLLsLsLLsLLs
10|7 2 LsLLsLsLLsLsLLsLsL
9|8 15 LsLsLLsLLsLsLLsLsL
8|9 10 LsLsLLsLsLLsLLsLsL
7|10 5 LsLsLLsLsLLsLsLLsL
6|11 18 sLLsLLsLsLLsLsLLsL
5|12 13 sLLsLsLLsLLsLsLLsL
4|13 8 sLLsLsLLsLsLLsLLsL
3|14 3 sLLsLsLLsLsLLsLsLL
2|15 16 sLsLLsLLsLsLLsLsLL
1|16 11 sLsLLsLsLLsLLsLsLL
0|17 6 sLsLLsLsLLsLsLLsLL

Intervals

Intervals of 11L 7s
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 66.7 ¢
Major 1-mosstep M1ms L 66.7 ¢ to 109.1 ¢
2-mosstep Minor 2-mosstep m2ms L + s 109.1 ¢ to 133.3 ¢
Major 2-mosstep M2ms 2L 133.3 ¢ to 218.2 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 109.1 ¢ to 200.0 ¢
Major 3-mosstep M3ms 2L + s 200.0 ¢ to 218.2 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 218.2 ¢ to 266.7 ¢
Major 4-mosstep M4ms 3L + s 266.7 ¢ to 327.3 ¢
5-mosstep Perfect 5-mosstep P5ms 3L + 2s 327.3 ¢ to 333.3 ¢
Augmented 5-mosstep A5ms 4L + s 333.3 ¢ to 436.4 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 327.3 ¢ to 400.0 ¢
Major 6-mosstep M6ms 4L + 2s 400.0 ¢ to 436.4 ¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 436.4 ¢ to 466.7 ¢
Major 7-mosstep M7ms 5L + 2s 466.7 ¢ to 545.5 ¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 436.4 ¢ to 533.3 ¢
Major 8-mosstep M8ms 5L + 3s 533.3 ¢ to 545.5 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 545.5 ¢ to 600.0 ¢
Major 9-mosstep M9ms 6L + 3s 600.0 ¢ to 654.5 ¢
10-mosstep Minor 10-mosstep m10ms 6L + 4s 654.5 ¢ to 666.7 ¢
Major 10-mosstep M10ms 7L + 3s 666.7 ¢ to 763.6 ¢
11-mosstep Minor 11-mosstep m11ms 6L + 5s 654.5 ¢ to 733.3 ¢
Major 11-mosstep M11ms 7L + 4s 733.3 ¢ to 763.6 ¢
12-mosstep Minor 12-mosstep m12ms 7L + 5s 763.6 ¢ to 800.0 ¢
Major 12-mosstep M12ms 8L + 4s 800.0 ¢ to 872.7 ¢
13-mosstep Diminished 13-mosstep d13ms 7L + 6s 763.6 ¢ to 866.7 ¢
Perfect 13-mosstep P13ms 8L + 5s 866.7 ¢ to 872.7 ¢
14-mosstep Minor 14-mosstep m14ms 8L + 6s 872.7 ¢ to 933.3 ¢
Major 14-mosstep M14ms 9L + 5s 933.3 ¢ to 981.8 ¢
15-mosstep Minor 15-mosstep m15ms 9L + 6s 981.8 ¢ to 1000.0 ¢
Major 15-mosstep M15ms 10L + 5s 1000.0 ¢ to 1090.9 ¢
16-mosstep Minor 16-mosstep m16ms 9L + 7s 981.8 ¢ to 1066.7 ¢
Major 16-mosstep M16ms 10L + 6s 1066.7 ¢ to 1090.9 ¢
17-mosstep Minor 17-mosstep m17ms 10L + 7s 1090.9 ¢ to 1133.3 ¢
Major 17-mosstep M17ms 11L + 6s 1133.3 ¢ to 1200.0 ¢
18-mosstep Perfect 18-mosstep P18ms 11L + 7s 1200.0 ¢

Scale tree

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 11L 7s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
13\18 866.667 333.333 1:1 1.000 Equalized 11L 7s
73\101 867.327 332.673 6:5 1.200
60\83 867.470 332.530 5:4 1.250
107\148 867.568 332.432 9:7 1.286
47\65 867.692 332.308 4:3 1.333 Supersoft 11L 7s
128\177 867.797 332.203 11:8 1.375
81\112 867.857 332.143 7:5 1.400
115\159 867.925 332.075 10:7 1.429
34\47 868.085 331.915 3:2 1.500 Soft 11L 7s
123\170 868.235 331.765 11:7 1.571
89\123 868.293 331.707 8:5 1.600
144\199 868.342 331.658 13:8 1.625
55\76 868.421 331.579 5:3 1.667 Semisoft 11L 7s
131\181 868.508 331.492 12:7 1.714
76\105 868.571 331.429 7:4 1.750
97\134 868.657 331.343 9:5 1.800
21\29 868.966 331.034 2:1 2.000 Basic 11L 7s
Scales with tunings softer than this are proper
92\127 869.291 330.709 9:4 2.250
71\98 869.388 330.612 7:3 2.333
121\167 869.461 330.539 12:5 2.400
50\69 869.565 330.435 5:2 2.500 Semihard 11L 7s
129\178 869.663 330.337 13:5 2.600
79\109 869.725 330.275 8:3 2.667
108\149 869.799 330.201 11:4 2.750
29\40 870.000 330.000 3:1 3.000 Hard 11L 7s
95\131 870.229 329.771 10:3 3.333
66\91 870.330 329.670 7:2 3.500
103\142 870.423 329.577 11:3 3.667
37\51 870.588 329.412 4:1 4.000 Superhard 11L 7s
82\113 870.796 329.204 9:2 4.500
45\62 870.968 329.032 5:1 5.000
53\73 871.233 328.767 6:1 6.000
8\11 872.727 327.273 1:0 → ∞ Collapsed 11L 7s


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