9L 11s

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Revision as of 07:04, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)
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↖ 8L 10s ↑ 9L 10s 10L 10s ↗
← 8L 11s 9L 11s 10L 11s →
↙ 8L 12s ↓ 9L 12s 10L 12s ↘
┌╥┬╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬┬┐
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLssLsLsLsLss
ssLsLsLsLssLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\20 to 5\9 (660.0 ¢ to 666.7 ¢)
Dark 4\9 to 9\20 (533.3 ¢ to 540.0 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 9L 2s
Sister 11L 9s
Daughters 20L 9s, 9L 20s
Neutralized 18L 2s
2-Flought 29L 11s, 9L 31s
Equal tunings
Equalized (L:s = 1:1) 11\20 (660.0 ¢)
Supersoft (L:s = 4:3) 38\69 (660.9 ¢)
Soft (L:s = 3:2) 27\49 (661.2 ¢)
Semisoft (L:s = 5:3) 43\78 (661.5 ¢)
Basic (L:s = 2:1) 16\29 (662.1 ¢)
Semihard (L:s = 5:2) 37\67 (662.7 ¢)
Hard (L:s = 3:1) 21\38 (663.2 ¢)
Superhard (L:s = 4:1) 26\47 (663.8 ¢)
Collapsed (L:s = 1:0) 5\9 (666.7 ¢)

9L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 11 small steps, repeating every octave. 9L 11s is a grandchild scale of 2L 7s, expanding it by 11 tones. Generators that produce this scale range from 660 ¢ to 666.7 ¢, or from 533.3 ¢ to 540 ¢.

Modes

Modes of 9L 11s
UDP Cyclic
order
Step
pattern
19|0 1 LsLsLsLsLssLsLsLsLss
18|1 12 LsLsLsLssLsLsLsLsLss
17|2 3 LsLsLsLssLsLsLsLssLs
16|3 14 LsLsLssLsLsLsLsLssLs
15|4 5 LsLsLssLsLsLsLssLsLs
14|5 16 LsLssLsLsLsLsLssLsLs
13|6 7 LsLssLsLsLsLssLsLsLs
12|7 18 LssLsLsLsLsLssLsLsLs
11|8 9 LssLsLsLsLssLsLsLsLs
10|9 20 sLsLsLsLsLssLsLsLsLs
9|10 11 sLsLsLsLssLsLsLsLsLs
8|11 2 sLsLsLsLssLsLsLsLssL
7|12 13 sLsLsLssLsLsLsLsLssL
6|13 4 sLsLsLssLsLsLsLssLsL
5|14 15 sLsLssLsLsLsLsLssLsL
4|15 6 sLsLssLsLsLsLssLsLsL
3|16 17 sLssLsLsLsLsLssLsLsL
2|17 8 sLssLsLsLsLssLsLsLsL
1|18 19 ssLsLsLsLsLssLsLsLsL
0|19 10 ssLsLsLsLssLsLsLsLsL

Tuning spectrum

generator L s L/s gen (cents) comment
4\9 1 0 533.333
41\92 9 1 9.000 534.783
37\83 8 1 8.000 534.940
33\74 7 1 7.000 535.135
62\139 13 2 6.500 535.252
29\65 6 1 6.000 535.385
54\121 11 2 5.500 535.537
25\56 5 1 5.000 535.714
46\103 9 2 4.500 535.922
67\150 13 3 4.333 536.000
21\47 4 1 4.000 536.170
59\132 11 3 3.667 536.364
38\85 7 2 3.500 536.471
55\123 10 3 3.333 536.585
17\38 3 1 3.000 536.842
64\143 11 4 2.750 537.063
47\105 8 3 2.667 537.143
30\67 5 2 2.500 537.313
43\96 7 3 2.333 537.500
56\125 9 4 2.250 537.600
13\29 2 1 2.000 537.931
61\136 9 5 1.800 538.235
48\107 7 4 1.750 538.318
35\78 5 3 1.667 538.462
57\127 8 5 1.600 538.583
22\49 3 2 1.500 538.776
53\118 7 5 1.400 538.983
31\69 4 3 1.333 539.130
40\89 5 4 1.250 539.326
49\109 6 5 1.200 539.450
58\129 7 6 1.167 539.535
67\149 8 7 1.143 539.597
76\169 9 8 1.125 539.645
9\20 1 1 1.000 540.000