# 4L 11s

 ↖ 3L 10s ↑4L 10s 5L 10s ↗ ← 3L 11s 4L 11s 5L 11s → ↙ 3L 12s ↓4L 12s 5L 12s ↘
```┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐
│║││║│││║│││║││││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LssLsssLsssLsss
sssLsssLsssLssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 11\15 to 3\4 (880.0¢ to 900.0¢)
Dark 1\4 to 4\15 (300.0¢ to 320.0¢)
TAMNAMS information
Descends from 4L 3s (smitonic)
Descendant's step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 4L 7s
Sister 11L 4s
Daughters 15L 4s, 4L 15s
Neutralized 8L 7s
2-Flought 19L 11s, 4L 26s
Equal tunings
Equalized (L:s = 1:1) 11\15 (880.0¢)
Supersoft (L:s = 4:3) 36\49 (881.6¢)
Soft (L:s = 3:2) 25\34 (882.4¢)
Semisoft (L:s = 5:3) 39\53 (883.0¢)
Basic (L:s = 2:1) 14\19 (884.2¢)
Semihard (L:s = 5:2) 31\42 (885.7¢)
Hard (L:s = 3:1) 17\23 (887.0¢)
Superhard (L:s = 4:1) 20\27 (888.9¢)
Collapsed (L:s = 1:0) 3\4 (900.0¢)

4L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 11 small steps, repeating every octave. 4L 11s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 880¢ to 900¢, or from 300¢ to 320¢. Because myna temperament arrives at 3/2 by +10 generators, this is the lowest myna MOS which has multiple 3/2s.

## Scale tree

Generator Cents L s L/s Comments
Chroma-positive Chroma-negative
11\15 880.000 320.000 1 1 1.000
58\79 881.013 318.987 6 5 1.200
47\64 881.250 318.750 5 4 1.250
83\113 881.416 318.584 9 7 1.286
36\49 881.633 318.367 4 3 1.333 Catalan
97\132 881.818 318.182 11 8 1.375
61\83 881.928 318.072 7 5 1.400
86\117 882.051 317.949 10 7 1.428
25\34 882.353 317.647 3 2 1.500 L/s = 3/2
89\121 882.645 317.355 11 7 1.571 Metakleismic
64\87 882.759 317.241 8 5 1.600
103\140 882.857 317.143 13 8 1.625 Countercata
39\53 883.019 316.981 5 3 1.667 Hanson/cata
92\125 883.200 316.800 12 7 1.714 Catakleismic
53\72 883.333 316.667 7 4 1.750
67\91 883.516 316.484 9 5 1.800
14\19 884.211 315.789 2 1 2.000 Basic 4L 11s
(Generators smaller than this are proper)
59\80 885.000 315.000 9 4 2.250 Parakleismic
45\61 885.246 314.754 7 3 2.333
76\103 885.437 314.563 12 5 2.400
31\42 885.714 314.286 5 2 2.500
79\107 885.981 314.019 13 5 2.600
48\65 886.154 313.846 8 3 2.667
65\88 886.364 313.636 11 4 2.750
17\23 886.957 313.043 3 1 3.000 L/s = 3/1
54\73 887.671 312.329 10 3 3.333
37\50 888.000 312.000 7 2 3.500
57\77 888.312 311.688 11 3 3.667 Oolong
20\27 888.889 311.111 4 1 4.000 Starlingtet
43\58 889.655 310.345 9 2 4.500 Myna
23\31 890.323 309.677 5 1 5.000
26\35 891.429 308.571 6 1 6.000
3\4 900.000 300.000 1 0 → inf