9L 6s

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↖ 8L 5s ↑9L 5s 10L 5s ↗
← 8L 6s9L 6s 10L 6s →
↙ 8L 7s ↓9L 7s 10L 7s ↘
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬┐
│║║│║│║║│║│║║│║││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLLsLsLLsLs
sLsLLsLsLLsLsLL
Equave 2/1 (1200.0¢)
Period 1\3 (400.0¢)
Generator size
Bright 3\15 to 2\9 (240.0¢ to 266.7¢)
Dark 1\9 to 2\15 (133.3¢ to 160.0¢)
TAMNAMS information
Descends from 6L 3s (hyrulic)
Required step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 3s
Sister 6L 9s
Daughters 15L 9s, 9L 15s
Neutralized 3L 12s
2-Flought 24L 6s, 9L 21s
Equal tunings
Equalized (L:s = 1:1) 3\15 (240.0¢)
Supersoft (L:s = 4:3) 11\54 (244.4¢)
Soft (L:s = 3:2) 8\39 (246.2¢)
Semisoft (L:s = 5:3) 13\63 (247.6¢)
Basic (L:s = 2:1) 5\24 (250.0¢)
Semihard (L:s = 5:2) 12\57 (252.6¢)
Hard (L:s = 3:1) 7\33 (254.5¢)
Superhard (L:s = 4:1) 9\42 (257.1¢)
Collapsed (L:s = 1:0) 2\9 (266.7¢)

9L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 6 small steps, with a period of 3 large steps and 2 small steps that repeats every 400.0¢, or 3 times every octave. 9L 6s is a child scale of 6L 3s, expanding it by 6 tones. Generators that produce this scale range from 240¢ to 266.7¢, or from 133.3¢ to 160¢. The period (400¢) minus one dark generator represents a 23+-limit interval between 23/20 and 7/6 (between ~242¢ to ~267¢).

Scale Tree and Tuning Spectrum of 9L 6s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
3\15 240.000 160.000 1:1 1.000 Equalized 9L 6s
17\84 242.857 157.143 6:5 1.200
14\69 243.478 156.522 5:4 1.250
25\123 243.902 156.098 9:7 1.286
11\54 244.444 155.556 4:3 1.333 Supersoft 9L 6s
30\147 244.898 155.102 11:8 1.375
19\93 245.161 154.839 7:5 1.400
27\132 245.455 154.545 10:7 1.429
8\39 246.154 153.846 3:2 1.500 Soft 9L 6s
29\141 246.809 153.191 11:7 1.571
21\102 247.059 152.941 8:5 1.600
34\165 247.273 152.727 13:8 1.625
13\63 247.619 152.381 5:3 1.667 Semisoft 9L 6s
31\150 248.000 152.000 12:7 1.714
18\87 248.276 151.724 7:4 1.750
23\111 248.649 151.351 9:5 1.800
5\24 250.000 150.000 2:1 2.000 Basic 9L 6s
Scales with tunings softer than this are proper
22\105 251.429 148.571 9:4 2.250
17\81 251.852 148.148 7:3 2.333
29\138 252.174 147.826 12:5 2.400
12\57 252.632 147.368 5:2 2.500 Semihard 9L 6s
31\147 253.061 146.939 13:5 2.600
19\90 253.333 146.667 8:3 2.667
26\123 253.659 146.341 11:4 2.750
7\33 254.545 145.455 3:1 3.000 Hard 9L 6s
23\108 255.556 144.444 10:3 3.333
16\75 256.000 144.000 7:2 3.500
25\117 256.410 143.590 11:3 3.667
9\42 257.143 142.857 4:1 4.000 Superhard 9L 6s
20\93 258.065 141.935 9:2 4.500
11\51 258.824 141.176 5:1 5.000
13\60 260.000 140.000 6:1 6.000
2\9 266.667 133.333 1:0 → ∞ Collapsed 9L 6s