9L 8s

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Adopt scale tree template, review entries

↖8L 7s ↑9L 7s 10L 7s↗
←8L 8s9L 8s 10L 8s→
↙8L 9s ↓9L 9s 10L 9s↘
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐
│║║│║│║│║│║│║│║│║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 15\17 to 8\9 (1058.8¢ to 1066.7¢)
Dark 1\9 to 2\17 (133.3¢ to 141.2¢)
TAMNAMS information
Descends from 8L 1s (subneutralic)
Required step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 8L 1s
Sister 8L 9s
Daughters 17L 9s
9L 17s
Equal tunings
Equalized (L:s = 1:1) 15\17 (1058.8¢)
Supersoft (L:s = 4:3) 53\60 (1060.0¢)
Soft (L:s = 3:2) 38\43 (1060.5¢)
Semisoft (L:s = 5:3) 61\69 (1060.9¢)
Basic (L:s = 2:1) 23\26 (1061.5¢)
Semihard (L:s = 5:2) 54\61 (1062.3¢)
Hard (L:s = 3:1) 31\35 (1062.9¢)
Superhard (L:s = 4:1) 39\44 (1063.6¢)
Collapsed (L:s = 1:0) 8\9 (1066.7¢)

9L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 8 small steps, repeating every octave. 9L 8s is a child scale of 8L 1s, expanding it by 8 tones. Generators that produce this scale range from 1058.8¢ to 1066.7¢, or from 133.3¢ to 141.2¢.

Modes

Modes of 9L 8s
UDP Rotational order Step pattern
16|0 1 LLsLsLsLsLsLsLsLs
15|1 16 LsLLsLsLsLsLsLsLs
14|2 14 LsLsLLsLsLsLsLsLs
13|3 12 LsLsLsLLsLsLsLsLs
12|4 10 LsLsLsLsLLsLsLsLs
11|5 8 LsLsLsLsLsLLsLsLs
10|6 6 LsLsLsLsLsLsLLsLs
9|7 4 LsLsLsLsLsLsLsLLs
8|8 2 LsLsLsLsLsLsLsLsL
7|9 17 sLLsLsLsLsLsLsLsL
6|10 15 sLsLLsLsLsLsLsLsL
5|11 13 sLsLsLLsLsLsLsLsL
4|12 11 sLsLsLsLLsLsLsLsL
3|13 9 sLsLsLsLsLLsLsLsL
2|14 7 sLsLsLsLsLsLLsLsL
1|15 5 sLsLsLsLsLsLsLLsL
0|16 3 sLsLsLsLsLsLsLsLL

Tuning spectrum

generator L s L/s gen (cents) comment
1\9 1 0 133.333
9\80 8 1 8.000 135.000
8\71 7 1 7.000 135.211 Kryptonite
15\133 13 2 6.500 135.338
7\62 6 1 6.000 135.484
13\115 11 2 5.500 135.652 Doublethink
6\53 5 1 5.000 135.849
11\97 9 2 4.500 136.082
5\44 4 1 4.000 136.364
14\123 11 3 3.667 136.585
9\79 7 2 3.500 136.709
13\114 10 3 3.333 136.842
4\35 3 1 3.000 137.143
15\131 11 4 2.750 137.405
11\96 8 3 2.667 137.500
7\61 5 2 2.500 137.705
10\87 7 3 2.333 137.931 Secund(ly)
13\113 9 4 2.250 138.053
16\139 11 5 2.200 138.129
3\26 2 1 2.000 138.462
14\121 9 5 1.800 138.843
11\95 7 4 1.750 138.947
8\69 5 3 1.667 139.130
13\112 8 5 1.600 139.286 Jerome
5\43 3 2 1.500 139.535
12\103 7 5 1.400 139.806
7\60 4 3 1.333 140.000 Bleu
16\137 9 7 1.286 140.146
9\77 5 4 1.250 140.260 Tsaharuk
11\94 6 5 1.200 140.426
13\111 7 6 1.167 140.541
15\128 8 7 1.143 140.625
2\17 1 1 1.000 141.176 Lafayette, Progression