7L 9s

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↖ 6L 8s↑ 7L 8s 8L 8s ↗
← 6L 9s7L 9s8L 9s →
↙ 6L 10s↓ 7L 10s 8L 10s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Descends from 7L 2s (armotonic)
Ancestor's step ratio range 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¢)

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¢. Most notable as the 16-tone Mavila scale. The entire range is suitable for mavila, but generators around 520 to 522 cents are perhaps "best".

Modes

Modes of 7L 9s
UDP Cyclic
Order
Step
Pattern
15|0 1 LsLsLsLssLsLsLss
14|1 10 LsLsLssLsLsLsLss
13|2 3 LsLsLssLsLsLssLs
12|3 12 LsLssLsLsLsLssLs
11|4 5 LsLssLsLsLssLsLs
10|5 14 LssLsLsLsLssLsLs
9|6 7 LssLsLsLssLsLsLs
8|7 16 sLsLsLsLssLsLsLs
7|8 9 sLsLsLssLsLsLsLs
6|9 2 sLsLsLssLsLsLssL
5|10 11 sLsLssLsLsLsLssL
4|11 4 sLsLssLsLsLssLsL
3|12 13 sLssLsLsLsLssLsL
2|13 6 sLssLsLsLssLsLsL
1|14 15 ssLsLsLsLssLsLsL
0|15 8 ssLsLsLssLsLsLsL

Tuning spectrum

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the 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
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
4\7 685.714 514.286 1:0 → ∞ Collapsed 7L 9s