7L 9s
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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¢)
↖ 6L 8s | ↑ 7L 8s | 8L 8s ↗ |
← 6L 9s | 7L 9s | 8L 9s → |
↙ 6L 10s | ↓ 7L 10s | 8L 10s ↘ |
┌╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬┬┐ │║│║│║│║││║│║│║│││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLssLsLsLsL
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
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
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 |