# 9L 10s

 ↖ 8L 9s ↑9L 9s 10L 9s ↗ ← 8L 10s 9L 10s 10L 10s → ↙ 8L 11s ↓9L 11s 10L 11s ↘
```┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐
│║│║│║│║│║│║│║│║│║│││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 2\19 to 1\9 (126.3¢ to 133.3¢)
Dark 8\9 to 17\19 (1066.7¢ to 1073.7¢)
TAMNAMS information
Descends from 9L 1s (sinatonic)
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 9L 1s
Sister 10L 9s
Daughters 19L 9s, 9L 19s
Neutralized 18L 1s
2-Flought 28L 10s, 9L 29s
Equal tunings
Equalized (L:s = 1:1) 2\19 (126.3¢)
Supersoft (L:s = 4:3) 7\66 (127.3¢)
Soft (L:s = 3:2) 5\47 (127.7¢)
Semisoft (L:s = 5:3) 8\75 (128.0¢)
Basic (L:s = 2:1) 3\28 (128.6¢)
Semihard (L:s = 5:2) 7\65 (129.2¢)
Hard (L:s = 3:1) 4\37 (129.7¢)
Superhard (L:s = 4:1) 5\46 (130.4¢)
Collapsed (L:s = 1:0) 1\9 (133.3¢)

9L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 10 small steps, repeating every octave. 9L 10s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 126.3¢ to 133.3¢, or from 1066.7¢ to 1073.7¢.

## Modes

Modes of 9L 10s
UDP Rotational
Order
Step
Pattern
18|0 1 LsLsLsLsLsLsLsLsLss
17|1 3 LsLsLsLsLsLsLsLssLs
16|2 5 LsLsLsLsLsLsLssLsLs
15|3 7 LsLsLsLsLsLssLsLsLs
14|4 9 LsLsLsLsLssLsLsLsLs
13|5 11 LsLsLsLssLsLsLsLsLs
12|6 13 LsLsLssLsLsLsLsLsLs
11|7 15 LsLssLsLsLsLsLsLsLs
10|8 17 LssLsLsLsLsLsLsLsLs
9|9 19 sLsLsLsLsLsLsLsLsLs
8|10 2 sLsLsLsLsLsLsLsLssL
7|11 4 sLsLsLsLsLsLsLssLsL
6|12 6 sLsLsLsLsLsLssLsLsL
5|13 8 sLsLsLsLsLssLsLsLsL
4|14 10 sLsLsLsLssLsLsLsLsL
3|15 12 sLsLsLssLsLsLsLsLsL
2|16 14 sLsLssLsLsLsLsLsLsL
1|17 16 sLssLsLsLsLsLsLsLsL
0|18 18 ssLsLsLsLsLsLsLsLsL

## Scale tree

Scale Tree and Tuning Spectrum of 9L 10s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
2\19 126.316 1073.684 1:1 1.000 Equalized 9L 10s
11\104 126.923 1073.077 6:5 1.200
9\85 127.059 1072.941 5:4 1.250
16\151 127.152 1072.848 9:7 1.286
7\66 127.273 1072.727 4:3 1.333 Supersoft 9L 10s
19\179 127.374 1072.626 11:8 1.375
12\113 127.434 1072.566 7:5 1.400
17\160 127.500 1072.500 10:7 1.429
5\47 127.660 1072.340 3:2 1.500 Soft 9L 10s
18\169 127.811 1072.189 11:7 1.571
13\122 127.869 1072.131 8:5 1.600
21\197 127.919 1072.081 13:8 1.625
8\75 128.000 1072.000 5:3 1.667 Semisoft 9L 10s
19\178 128.090 1071.910 12:7 1.714
11\103 128.155 1071.845 7:4 1.750
14\131 128.244 1071.756 9:5 1.800
3\28 128.571 1071.429 2:1 2.000 Basic 9L 10s
Scales with tunings softer than this are proper
13\121 128.926 1071.074 9:4 2.250
10\93 129.032 1070.968 7:3 2.333
17\158 129.114 1070.886 12:5 2.400
7\65 129.231 1070.769 5:2 2.500 Semihard 9L 10s
18\167 129.341 1070.659 13:5 2.600
11\102 129.412 1070.588 8:3 2.667
15\139 129.496 1070.504 11:4 2.750
4\37 129.730 1070.270 3:1 3.000 Hard 9L 10s
13\120 130.000 1070.000 10:3 3.333
9\83 130.120 1069.880 7:2 3.500
14\129 130.233 1069.767 11:3 3.667
5\46 130.435 1069.565 4:1 4.000 Superhard 9L 10s
11\101 130.693 1069.307 9:2 4.500
6\55 130.909 1069.091 5:1 5.000
7\64 131.250 1068.750 6:1 6.000
1\9 133.333 1066.667 1:0 → ∞ Collapsed 9L 10s
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