# 5L 11s

 ↖ 4L 10s ↑5L 10s 6L 10s ↗ ← 4L 11s 5L 11s 6L 11s → ↙ 4L 12s ↓5L 12s 6L 12s ↘
```┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐
│║││║││║││║││║││││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LssLssLssLssLsss
sssLssLssLssLssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 3\16 to 1\5 (225.0¢ to 240.0¢)
Dark 4\5 to 13\16 (960.0¢ to 975.0¢)
TAMNAMS information
Descends from 5L 1s (machinoid)
Required step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 5L 6s
Sister 11L 5s
Daughters 16L 5s, 5L 16s
Neutralized 10L 6s
2-Flought 21L 11s, 5L 27s
Equal tunings
Equalized (L:s = 1:1) 3\16 (225.0¢)
Supersoft (L:s = 4:3) 10\53 (226.4¢)
Soft (L:s = 3:2) 7\37 (227.0¢)
Semisoft (L:s = 5:3) 11\58 (227.6¢)
Basic (L:s = 2:1) 4\21 (228.6¢)
Semihard (L:s = 5:2) 9\47 (229.8¢)
Hard (L:s = 3:1) 5\26 (230.8¢)
Superhard (L:s = 4:1) 6\31 (232.3¢)
Collapsed (L:s = 1:0) 1\5 (240.0¢)

5L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 11 small steps, repeating every octave. 5L 11s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 225¢ to 240¢, or from 960¢ to 975¢. This MOS has a large "diatonic" whole tone of 3/16edo (225) to 1/5edo (240 cents) as a generator. Converging to 5edo as it becomes ever more improper, it moves from Gorgo into Slendric (the 2.3.7 temperament which tempers out the gamelisma of 1029/1024).

Scale Tree and Tuning Spectrum of 5L 11s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
3\16 225.000 975.000 1:1 1.000 Equalized 5L 11s
16\85 225.882 974.118 6:5 1.200
13\69 226.087 973.913 5:4 1.250
23\122 226.230 973.770 9:7 1.286
10\53 226.415 973.585 4:3 1.333 Supersoft 5L 11s
27\143 226.573 973.427 11:8 1.375
17\90 226.667 973.333 7:5 1.400
24\127 226.772 973.228 10:7 1.429
7\37 227.027 972.973 3:2 1.500 Soft 5L 11s
25\132 227.273 972.727 11:7 1.571
18\95 227.368 972.632 8:5 1.600
29\153 227.451 972.549 13:8 1.625
11\58 227.586 972.414 5:3 1.667 Semisoft 5L 11s
26\137 227.737 972.263 12:7 1.714
15\79 227.848 972.152 7:4 1.750
19\100 228.000 972.000 9:5 1.800
4\21 228.571 971.429 2:1 2.000 Basic 5L 11s
Scales with tunings softer than this are proper
17\89 229.213 970.787 9:4 2.250
13\68 229.412 970.588 7:3 2.333
22\115 229.565 970.435 12:5 2.400
9\47 229.787 970.213 5:2 2.500 Semihard 5L 11s
23\120 230.000 970.000 13:5 2.600
14\73 230.137 969.863 8:3 2.667
19\99 230.303 969.697 11:4 2.750
5\26 230.769 969.231 3:1 3.000 Hard 5L 11s
16\83 231.325 968.675 10:3 3.333
11\57 231.579 968.421 7:2 3.500
17\88 231.818 968.182 11:3 3.667
6\31 232.258 967.742 4:1 4.000 Superhard 5L 11s
13\67 232.836 967.164 9:2 4.500
7\36 233.333 966.667 5:1 5.000
8\41 234.146 965.854 6:1 6.000
1\5 240.000 960.000 1:0 → ∞ Collapsed 5L 11s