# 10L 5s

 ↖ 9L 4s ↑ 10L 4s 11L 4s ↗ ← 9L 5s 10L 5s 11L 5s → ↙ 9L 6s ↓ 10L 6s 11L 6s ↘
```┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐
│║║│║║│║║│║║│║║││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LLsLLsLLsLLsLLs
sLLsLLsLLsLLsLL
Equave 2/1 (1200.0¢)
Period 1\5 (240.0¢)
Generator size
Bright 1\15 to 1\10 (80.0¢ to 120.0¢)
Dark 1\10 to 2\15 (120.0¢ to 160.0¢)
TAMNAMS information
Descends from 5L 5s (pentawood)
Ancestor's step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 5L 5s
Sister 5L 10s
Daughters 15L 10s, 10L 15s
Neutralized 5L 10s
2-Flought 25L 5s, 10L 20s
Equal tunings
Equalized (L:s = 1:1) 1\15 (80.0¢)
Supersoft (L:s = 4:3) 4\55 (87.3¢)
Soft (L:s = 3:2) 3\40 (90.0¢)
Semisoft (L:s = 5:3) 5\65 (92.3¢)
Basic (L:s = 2:1) 2\25 (96.0¢)
Semihard (L:s = 5:2) 5\60 (100.0¢)
Hard (L:s = 3:1) 3\35 (102.9¢)
Superhard (L:s = 4:1) 4\45 (106.7¢)
Collapsed (L:s = 1:0) 1\10 (120.0¢)

10L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 5 small steps, with a period of 2 large steps and 1 small step that repeats every 240.0¢, or 5 times every octave. 10L 5s is a child scale of 5L 5s, expanding it by 5 tones. Generators that produce this scale range from 80¢ to 120¢, or from 120¢ to 160¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

## Modes

Modes of 10L 5s
UDP Cyclic
Order
Step
Pattern
10|0(5) 1 LLsLLsLLsLLsLLs
5|5(5) 2 LsLLsLLsLLsLLsL
0|10(5) 3 sLLsLLsLLsLLsLL

## Scale tree

Scale Tree and Tuning Spectrum of 10L 5s
Generator(edo) Cents Step Ratio Comments(always proper)
Bright Dark L:s Hardness
1\15 80.000 160.000 1:1 1.000 Equalized 10L 5s
6\85 84.706 155.294 6:5 1.200
5\70 85.714 154.286 5:4 1.250
9\125 86.400 153.600 9:7 1.286
4\55 87.273 152.727 4:3 1.333 Supersoft 10L 5s
11\150 88.000 152.000 11:8 1.375
7\95 88.421 151.579 7:5 1.400
10\135 88.889 151.111 10:7 1.429
3\40 90.000 150.000 3:2 1.500 Soft 10L 5s
11\145 91.034 148.966 11:7 1.571
8\105 91.429 148.571 8:5 1.600
13\170 91.765 148.235 13:8 1.625
5\65 92.308 147.692 5:3 1.667 Semisoft 10L 5s
12\155 92.903 147.097 12:7 1.714
7\90 93.333 146.667 7:4 1.750
9\115 93.913 146.087 9:5 1.800
2\25 96.000 144.000 2:1 2.000 Basic 10L 5s
9\110 98.182 141.818 9:4 2.250
7\85 98.824 141.176 7:3 2.333
12\145 99.310 140.690 12:5 2.400
5\60 100.000 140.000 5:2 2.500 Semihard 10L 5s
13\155 100.645 139.355 13:5 2.600
8\95 101.053 138.947 8:3 2.667
11\130 101.538 138.462 11:4 2.750
3\35 102.857 137.143 3:1 3.000 Hard 10L 5s
10\115 104.348 135.652 10:3 3.333
7\80 105.000 135.000 7:2 3.500
11\125 105.600 134.400 11:3 3.667
4\45 106.667 133.333 4:1 4.000 Superhard 10L 5s
9\100 108.000 132.000 9:2 4.500
5\55 109.091 130.909 5:1 5.000
6\65 110.769 129.231 6:1 6.000
1\10 120.000 120.000 1:0 → ∞ Collapsed 10L 5s
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