# 7L 9s

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↘
Scale structure
Step pattern LsLsLsLssLsLsLss
ssLsLsLssLsLsLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Step size ranges
Large 1\16 to 1\7 (75.0¢ to 171.4¢)
Small 0\7 to 1\16 (0.0¢ to 75.0¢)
Generator ranges
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)
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¢)

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 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