7L 9s

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Todo: review
Adopt scale tree template, review entries

↖6L 8s ↑7L 8s 8L 8s↗
←6L 9s7L 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