7L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 9 small steps, repeating every octave. 7L 9s is a child scale of 7L 2s, expanding it by 7 tones. Generators that produce this scale range from 675 ¢ to 685.7 ¢, or from 514.3 ¢ to 525 ¢.

↖ 6L 8s ↑ 7L 8s 8L 8s ↗
← 6L 9s 7L 9s 8L 9s →
↙ 6L 10s ↓ 7L 10s 8L 10s ↘
Scale structure
Step pattern LsLsLsLssLsLsLss
ssLsLsLssLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\16 to 4\7 (675.0 ¢ to 685.7 ¢)
Dark 3\7 to 7\16 (514.3 ¢ to 525.0 ¢)
TAMNAMS information
Related to 7L 2s (armotonic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 7L 2s
Sister 9L 7s
Daughters 16L 7s, 7L 16s
Neutralized 14L 2s
2-Flought 23L 9s, 7L 25s
Equal tunings
Equalized (L:s = 1:1) 9\16 (675.0 ¢)
Supersoft (L:s = 4:3) 31\55 (676.4 ¢)
Soft (L:s = 3:2) 22\39 (676.9 ¢)
Semisoft (L:s = 5:3) 35\62 (677.4 ¢)
Basic (L:s = 2:1) 13\23 (678.3 ¢)
Semihard (L:s = 5:2) 30\53 (679.2 ¢)
Hard (L:s = 3:1) 17\30 (680.0 ¢)
Superhard (L:s = 4:1) 21\37 (681.1 ¢)
Collapsed (L:s = 1:0) 4\7 (685.7 ¢)
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Most notable as the 16-tone Mavila scale, although there are mavila tunings that generate 9L 7s. The entire range is suitable for mavila, but generators around 520 to 522 ¢ are perhaps "best" if you wish to approximate 4/3 with the generator.

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 interval regions.
  Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 7L 9s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
9\16 675.000 525.000 1:1 1.000 Equalized 7L 9s
49\87 675.862 524.138 6:5 1.200
40\71 676.056 523.944 5:4 1.250
71\126 676.190 523.810 9:7 1.286
31\55 676.364 523.636 4:3 1.333 Supersoft 7L 9s
84\149 676.510 523.490 11:8 1.375
53\94 676.596 523.404 7:5 1.400
75\133 676.692 523.308 10:7 1.429
22\39 676.923 523.077 3:2 1.500 Soft 7L 9s
79\140 677.143 522.857 11:7 1.571
57\101 677.228 522.772 8:5 1.600
92\163 677.301 522.699 13:8 1.625
35\62 677.419 522.581 5:3 1.667 Semisoft 7L 9s
83\147 677.551 522.449 12:7 1.714
48\85 677.647 522.353 7:4 1.750
61\108 677.778 522.222 9:5 1.800
13\23 678.261 521.739 2:1 2.000 Basic 7L 9s
Scales with tunings softer than this are proper
56\99 678.788 521.212 9:4 2.250
43\76 678.947 521.053 7:3 2.333 Hornbostel is around here
73\129 679.070 520.930 12:5 2.400
30\53 679.245 520.755 5:2 2.500 Semihard 7L 9s
77\136 679.412 520.588 13:5 2.600
47\83 679.518 520.482 8:3 2.667
64\113 679.646 520.354 11:4 2.750
17\30 680.000 520.000 3:1 3.000 Hard 7L 9s
55\97 680.412 519.588 10:3 3.333
38\67 680.597 519.403 7:2 3.500
59\104 680.769 519.231 11:3 3.667
21\37 681.081 518.919 4:1 4.000 Superhard 7L 9s
46\81 681.481 518.519 9:2 4.500
25\44 681.818 518.182 5:1 5.000
29\51 682.353 517.647 6:1 6.000 Gravity ↓, Marvo ↓
4\7 685.714 514.286 1:0 → ∞ Collapsed 7L 9s