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)
Required 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
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¢)
Todo: review
Adopt scale tree template, review entries
| ↖6L 8s | ↑7L 8s | 8L 8s↗ |
| ←6L 9s | 7L 9s | 8L 9s→ |
| ↙6L 10s | ↓7L 10s | 8L 10s↘ |
┌╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬┬┐ │║│║│║│║││║│║│║│││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLssLsLsLsL
7L 16s
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 | Rotational 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 | L | s | L/s | gen (cents) | comment | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 3\7 | 1 | 0 | 514.286 | ||||||||||
| 31\72 | 9 | 1 | 9.000 | 516.667 | Gravity, Marvo are around here | ||||||||
| 28\65 | 8 | 1 | 8.000 | 516.923 | |||||||||
| 25\58 | 7 | 1 | 7.000 | 517.241 | |||||||||
| 47\109 | 13 | 2 | 6.500 | 517.431 | |||||||||
| 22\51 | 6 | 1 | 6.000 | 517.647 | |||||||||
| 41\95 | 11 | 2 | 5.500 | 517.895 | |||||||||
| 19\44 | 5 | 1 | 5.000 | 518.182 | |||||||||
| 35\81 | 9 | 2 | 4.500 | 518.519 | |||||||||
| 16\37 | 4 | 1 | 4.000 | 518.919 | |||||||||
| 45\104 | 11 | 3 | 3.667 | 519.231 | |||||||||
| 29\67 | 7 | 2 | 3.500 | 519.403 | |||||||||
| 42\97 | 10 | 3 | 3.333 | 519.588 | |||||||||
| 13\30 | 3 | 1 | 3.000 | 520.000 | |||||||||
| 36\83 | 8 | 3 | 2.667 | 520.482 | |||||||||
| 23\53 | 5 | 2 | 2.500 | 520.755 | |||||||||
| 33\76 | 7 | 3 | 2.333 | 521.053 | Hornbostel is around here | ||||||||
| 43\99 | 9 | 4 | 2.250 | 521.212 | |||||||||
| 10\23 | 2 | 1 | 2.000 | 521.739 | |||||||||
| 47\108 | 9 | 5 | 1.800 | 522.222 | |||||||||
| 37\85 | 7 | 4 | 1.750 | 522.353 | |||||||||
| 27\62 | 5 | 3 | 1.667 | 522.581 | |||||||||
| 44\101 | 8 | 5 | 1.600 | 522.772 | |||||||||
| 17\39 | 3 | 2 | 1.500 | 523.077 | |||||||||
| 41\94 | 7 | 5 | 1.400 | 523.404 | |||||||||
| 24\55 | 4 | 3 | 1.333 | 523.636 | |||||||||
| 31\71 | 5 | 4 | 1.250 | 523.944 | |||||||||
| 38\87 | 6 | 5 | 1.200 | 524.138 | |||||||||
| 45\103 | 7 | 6 | 1.167 | 524.272 | |||||||||
| 52\119 | 8 | 7 | 1.143 | 524.370 | |||||||||
| 59\135 | 9 | 8 | 1.125 | 524.444 | |||||||||
| 7\16 | 1 | 1 | 1.000 | 525.000 | |||||||||