9L 7s

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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)
Ancestor's 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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.

{{subst:MOS data temporary}}

Scale tree

Scale tree and tuning spectrum of 9L 7s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
7\16 525.000 675.000 1:1 1.000 Equalized 9L 7s
39\89 525.843 674.157 6:5 1.200
32\73 526.027 673.973 5:4 1.250
57\130 526.154 673.846 9:7 1.286 Armodue is around here
25\57 526.316 673.684 4:3 1.333 Supersoft 9L 7s
68\155 526.452 673.548 11:8 1.375
43\98 526.531 673.469 7:5 1.400 Trismegistus is around here
61\139 526.619 673.381 10:7 1.429
18\41 526.829 673.171 3:2 1.500 Soft 9L 7s
65\148 527.027 672.973 11:7 1.571
47\107 527.103 672.897 8:5 1.600
76\173 527.168 672.832 13:8 1.625
29\66 527.273 672.727 5:3 1.667 Semisoft 9L 7s
69\157 527.389 672.611 12:7 1.714
40\91 527.473 672.527 7:4 1.750
51\116 527.586 672.414 9:5 1.800
11\25 528.000 672.000 2:1 2.000 Basic 9L 7s
Scales with tunings softer than this are proper
48\109 528.440 671.560 9:4 2.250
37\84 528.571 671.429 7:3 2.333
63\143 528.671 671.329 12:5 2.400
26\59 528.814 671.186 5:2 2.500 Semihard 9L 7s
67\152 528.947 671.053 13:5 2.600
41\93 529.032 670.968 8:3 2.667
56\127 529.134 670.866 11:4 2.750
15\34 529.412 670.588 3:1 3.000 Hard 9L 7s
49\111 529.730 670.270 10:3 3.333 Mabila (5-limit) is around here
34\77 529.870 670.130 7:2 3.500
53\120 530.000 670.000 11:3 3.667 Amavil is around here
19\43 530.233 669.767 4:1 4.000 Superhard 9L 7s
42\95 530.526 669.474 9:2 4.500
23\52 530.769 669.231 5:1 5.000
27\61 531.148 668.852 6:1 6.000
4\9 533.333 666.667 1:0 → ∞ Collapsed 9L 7s
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