9L 7s

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Adopt scale tree template, review entries
↖ 8L 6s ↑9L 6s 10L 6s ↗
← 8L 7s9L 7s 10L 7s →
↙ 8L 8s ↓9L 8s 10L 8s ↘
┌╥╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬┐
│║║│║│║│║║│║│║│║││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLLsLsLsLs
sLsLsLsLLsLsLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 7\16 to 4\9 (525.0¢ to 533.3¢)
Dark 5\9 to 9\16 (666.7¢ to 675.0¢)
TAMNAMS information
Descends from 7L 2s (armotonic)
Required step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 7L 2s
Sister 7L 9s
Daughters 16L 9s, 9L 16s
Neutralized 2L 14s
2-Flought 25L 7s, 9L 23s
Equal tunings
Equalized (L:s = 1:1) 7\16 (525.0¢)
Supersoft (L:s = 4:3) 25\57 (526.3¢)
Soft (L:s = 3:2) 18\41 (526.8¢)
Semisoft (L:s = 5:3) 29\66 (527.3¢)
Basic (L:s = 2:1) 11\25 (528.0¢)
Semihard (L:s = 5:2) 26\59 (528.8¢)
Hard (L:s = 3:1) 15\34 (529.4¢)
Superhard (L:s = 4:1) 19\43 (530.2¢)
Collapsed (L:s = 1:0) 4\9 (533.3¢)

9L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 7 small steps, repeating every octave. 9L 7s is a child scale of 7L 2s, expanding it by 7 tones. Generators that produce this scale range from 525¢ to 533.3¢, or from 666.7¢ to 675¢.

Modes

Modes of 9L 7s
UDP Rotational order Step pattern
15|0 1 LLsLsLsLLsLsLsLs
14|1 8 LLsLsLsLsLLsLsLs
13|2 15 LsLLsLsLsLLsLsLs
12|3 6 LsLLsLsLsLsLLsLs
11|4 13 LsLsLLsLsLsLLsLs
10|5 4 LsLsLLsLsLsLsLLs
9|6 11 LsLsLsLLsLsLsLLs
8|7 2 LsLsLsLLsLsLsLsL
7|8 9 LsLsLsLsLLsLsLsL
6|9 16 sLLsLsLsLLsLsLsL
5|10 7 sLLsLsLsLsLLsLsL
4|11 14 sLsLLsLsLsLLsLsL
3|12 5 sLsLLsLsLsLsLLsL
2|13 12 sLsLsLLsLsLsLLsL
1|14 3 sLsLsLLsLsLsLsLL
0|15 10 sLsLsLsLLsLsLsLL

Tuning spectrum

generator L s L/s gen (cents) comment
4\9 1 0 533.333
39\88 9 1 9.000 531.818
35\79 8 1 8.000 531.646
31\70 7 1 7.000 531.429
58\131 13 2 6.500 531.298
27\61 6 1 6.000 531.148
50\113 11 2 5.500 530.973
23\52 5 1 5.000 530.769
42\95 9 2 4.500 530.526
19\43 4 1 4.000 530.233
53\120 11 3 3.667 530.000 Amavil is around here
34\77 7 2 3.500 529.870
49\111 10 3 3.333 529.730 Mabila (5-limit) is around here
15\34 3 1 3.000 529.412
56\127 11 4 2.750 529.134
41\93 8 3 2.667 529.032
26\59 5 2 2.500 528.814
37\84 7 3 2.333 528.571
48\109 9 4 2.250 528.440
11\25 2 1 2.000 528.000
51\116 9 5 1.800 527.586
40\91 7 4 1.750 527.473
29\66 5 3 1.667 527.273
47\107 8 5 1.600 527.103
18\41 3 2 1.500 526.829
43\98 7 5 1.400 526.531 Trismegistus is around here
25\57 4 3 1.333 526.316
57\130 9 7 1.286 526.154 Armodue is around here
32\73 5 4 1.250 526.027
39\89 6 5 1.200 525.843
46\105 7 6 1.167 525.714
53\121 8 7 1.143 525.620
60\137 9 8 1.125 525.574
7\16 1 1 1.000 525.000