11L 6s

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↖ 10L 5s ↑11L 5s 12L 5s ↗
← 10L 6s11L 6s 12L 6s →
↙ 10L 7s ↓11L 7s 12L 7s ↘
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║║│║║│║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLLsLLsLs
sLsLLsLLsLLsLLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 3\17 to 2\11 (211.8¢ to 218.2¢)
Dark 9\11 to 14\17 (981.8¢ to 988.2¢)
TAMNAMS information
Descends from 5L 1s (machinoid)
Required step ratio range 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 6L 5s
Sister 6L 11s
Daughters 17L 11s, 11L 17s
Neutralized 5L 12s
2-Flought 28L 6s, 11L 23s
Equal tunings
Equalized (L:s = 1:1) 3\17 (211.8¢)
Supersoft (L:s = 4:3) 11\62 (212.9¢)
Soft (L:s = 3:2) 8\45 (213.3¢)
Semisoft (L:s = 5:3) 13\73 (213.7¢)
Basic (L:s = 2:1) 5\28 (214.3¢)
Semihard (L:s = 5:2) 12\67 (214.9¢)
Hard (L:s = 3:1) 7\39 (215.4¢)
Superhard (L:s = 4:1) 9\50 (216.0¢)
Collapsed (L:s = 1:0) 2\11 (218.2¢)

11L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 6 small steps, repeating every octave. 11L 6s is a grandchild scale of 5L 1s, expanding it by 11 tones. Generators that produce this scale range from 211.8¢ to 218.2¢, or from 981.8¢ to 988.2¢.

Modes

Modes of 11L 6s
UDP Rotational order Step pattern
16 | 0 1 LLsLLsLLsLLsLLsLs
15 | 1 4 LLsLLsLLsLLsLsLLs
14 | 2 7 LLsLLsLLsLsLLsLLs
13 | 3 10 LLsLLsLsLLsLLsLLs
12 | 4 13 LLsLsLLsLLsLLsLLs
11 | 5 16 LsLLsLLsLLsLLsLLs
10 | 6 2 LsLLsLLsLLsLLsLsL
9 | 7 5 LsLLsLLsLLsLsLLsL
8 | 8 8 LsLLsLLsLsLLsLLsL
7 | 9 11 LsLLsLsLLsLLsLLsL
6 | 10 14 LsLsLLsLLsLLsLLsL
5 | 11 17 sLLsLLsLLsLLsLLsL
4 | 12 3 sLLsLLsLLsLLsLsLL
3 | 13 6 sLLsLLsLLsLsLLsLL
2 | 14 9 sLLsLLsLsLLsLLsLL
1 | 15 12 sLLsLsLLsLLsLLsLL
0 | 16 15 sLsLLsLLsLLsLLsLL

Scale tree

Scale Tree and Tuning Spectrum of 11L 6s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
3\17 211.765 988.235 1:1 1.000 Equalized 11L 6s
17\96 212.500 987.500 6:5 1.200
14\79 212.658 987.342 5:4 1.250
25\141 212.766 987.234 9:7 1.286
11\62 212.903 987.097 4:3 1.333 Supersoft 11L 6s
30\169 213.018 986.982 11:8 1.375
19\107 213.084 986.916 7:5 1.400
27\152 213.158 986.842 10:7 1.429
8\45 213.333 986.667 3:2 1.500 Soft 11L 6s
29\163 213.497 986.503 11:7 1.571
21\118 213.559 986.441 8:5 1.600
34\191 213.613 986.387 13:8 1.625
13\73 213.699 986.301 5:3 1.667 Semisoft 11L 6s
31\174 213.793 986.207 12:7 1.714
18\101 213.861 986.139 7:4 1.750
23\129 213.953 986.047 9:5 1.800
5\28 214.286 985.714 2:1 2.000 Basic 11L 6s
Scales with tunings softer than this are proper
22\123 214.634 985.366 9:4 2.250
17\95 214.737 985.263 7:3 2.333
29\162 214.815 985.185 12:5 2.400
12\67 214.925 985.075 5:2 2.500 Semihard 11L 6s
31\173 215.029 984.971 13:5 2.600
19\106 215.094 984.906 8:3 2.667
26\145 215.172 984.828 11:4 2.750
7\39 215.385 984.615 3:1 3.000 Hard 11L 6s
23\128 215.625 984.375 10:3 3.333
16\89 215.730 984.270 7:2 3.500
25\139 215.827 984.173 11:3 3.667
9\50 216.000 984.000 4:1 4.000 Superhard 11L 6s
20\111 216.216 983.784 9:2 4.500
11\61 216.393 983.607 5:1 5.000
13\72 216.667 983.333 6:1 6.000
2\11 218.182 981.818 1:0 → ∞ Collapsed 11L 6s
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