7L 11s

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7L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 11 small steps, repeating every octave. 7L 11s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 333.3 ¢ to 342.9 ¢, or from 857.1 ¢ to 866.7 ¢.

↖ 6L 10s ↑ 7L 10s 8L 10s ↗
← 6L 11s 7L 11s 8L 11s →
↙ 6L 12s ↓ 7L 12s 8L 12s ↘
Scale structure
Step pattern LsLssLsLssLsLssLss
ssLssLsLssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\18 to 2\7 (333.3 ¢ to 342.9 ¢)
Dark 5\7 to 13\18 (857.1 ¢ to 866.7 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 7L 4s
Sister 11L 7s
Daughters 18L 7s, 7L 18s
Neutralized 14L 4s
2-Flought 25L 11s, 7L 29s
Equal tunings
Equalized (L:s = 1:1) 5\18 (333.3 ¢)
Supersoft (L:s = 4:3) 17\61 (334.4 ¢)
Soft (L:s = 3:2) 12\43 (334.9 ¢)
Semisoft (L:s = 5:3) 19\68 (335.3 ¢)
Basic (L:s = 2:1) 7\25 (336.0 ¢)
Semihard (L:s = 5:2) 16\57 (336.8 ¢)
Hard (L:s = 3:1) 9\32 (337.5 ¢)
Superhard (L:s = 4:1) 11\39 (338.5 ¢)
Collapsed (L:s = 1:0) 2\7 (342.9 ¢)
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Modes

Modes of 7L 11s
UDP Cyclic
order
Step
pattern
17|0 1 LsLssLsLssLsLssLss
16|1 6 LsLssLsLssLssLsLss
15|2 11 LsLssLssLsLssLsLss
14|3 16 LssLsLssLsLssLsLss
13|4 3 LssLsLssLsLssLssLs
12|5 8 LssLsLssLssLsLssLs
11|6 13 LssLssLsLssLsLssLs
10|7 18 sLsLssLsLssLsLssLs
9|8 5 sLsLssLsLssLssLsLs
8|9 10 sLsLssLssLsLssLsLs
7|10 15 sLssLsLssLsLssLsLs
6|11 2 sLssLsLssLsLssLssL
5|12 7 sLssLsLssLssLsLssL
4|13 12 sLssLssLsLssLsLssL
3|14 17 ssLsLssLsLssLsLssL
2|15 4 ssLsLssLsLssLssLsL
1|16 9 ssLsLssLssLsLssLsL
0|17 14 ssLssLsLssLsLssLsL

Scale tree

  Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
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 7L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
5\18 333.333 866.667 1:1 1.000 Equalized 7L 11s
27\97 334.021 865.979 6:5 1.200
22\79 334.177 865.823 5:4 1.250
39\140 334.286 865.714 9:7 1.286
17\61 334.426 865.574 4:3 1.333 Supersoft 7L 11s
46\165 334.545 865.455 11:8 1.375
29\104 334.615 865.385 7:5 1.400
41\147 334.694 865.306 10:7 1.429
12\43 334.884 865.116 3:2 1.500 Soft 7L 11s
43\154 335.065 864.935 11:7 1.571
31\111 335.135 864.865 8:5 1.600
50\179 335.196 864.804 13:8 1.625
19\68 335.294 864.706 5:3 1.667 Semisoft 7L 11s
45\161 335.404 864.596 12:7 1.714
26\93 335.484 864.516 7:4 1.750
33\118 335.593 864.407 9:5 1.800
7\25 336.000 864.000 2:1 2.000 Basic 7L 11s
Scales with tunings softer than this are proper
30\107 336.449 863.551 9:4 2.250
23\82 336.585 863.415 7:3 2.333
39\139 336.691 863.309 12:5 2.400
16\57 336.842 863.158 5:2 2.500 Semihard 7L 11s
41\146 336.986 863.014 13:5 2.600
25\89 337.079 862.921 8:3 2.667
34\121 337.190 862.810 11:4 2.750
9\32 337.500 862.500 3:1 3.000 Hard 7L 11s
29\103 337.864 862.136 10:3 3.333
20\71 338.028 861.972 7:2 3.500
31\110 338.182 861.818 11:3 3.667
11\39 338.462 861.538 4:1 4.000 Superhard 7L 11s
24\85 338.824 861.176 9:2 4.500
13\46 339.130 860.870 5:1 5.000
15\53 339.623 860.377 6:1 6.000
2\7 342.857 857.143 1:0 → ∞ Collapsed 7L 11s