11L 12s: Difference between revisions

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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
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{{Infobox MOS}}
{{MOS intro}}
== Modes ==
{{MOS modes}}
== Tuning spectrum ==
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[[category:todo:intro]]
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Revision as of 05:58, 30 January 2024

↖ 10L 11s ↑ 11L 11s 12L 11s ↗
← 10L 12s 11L 12s 12L 12s →
↙ 10L 13s ↓ 11L 13s 12L 13s ↘
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐
│║│║│║│║│║│║│║│║│║│║│║│││
│││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 2\23 to 1\11 (104.3 ¢ to 109.1 ¢)
Dark 10\11 to 21\23 (1090.9 ¢ to 1095.7 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 2:1 to 5:2 (minihard)
Related MOS scales
Parent 11L 1s
Sister 12L 11s
Daughters 23L 11s, 11L 23s
Neutralized 22L 1s
2-Flought 34L 12s, 11L 35s
Equal tunings
Equalized (L:s = 1:1) 2\23 (104.3 ¢)
Supersoft (L:s = 4:3) 7\80 (105.0 ¢)
Soft (L:s = 3:2) 5\57 (105.3 ¢)
Semisoft (L:s = 5:3) 8\91 (105.5 ¢)
Basic (L:s = 2:1) 3\34 (105.9 ¢)
Semihard (L:s = 5:2) 7\79 (106.3 ¢)
Hard (L:s = 3:1) 4\45 (106.7 ¢)
Superhard (L:s = 4:1) 5\56 (107.1 ¢)
Collapsed (L:s = 1:0) 1\11 (109.1 ¢)

11L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 12 small steps, repeating every octave. 11L 12s is a great-grandchild scale of 1L 9s, expanding it by 13 tones. Generators that produce this scale range from 104.3 ¢ to 109.1 ¢, or from 1090.9 ¢ to 1095.7 ¢.

Modes

Modes of 11L 12s
UDP Cyclic
order
Step
pattern
22|0 1 LsLsLsLsLsLsLsLsLsLsLss
21|1 3 LsLsLsLsLsLsLsLsLsLssLs
20|2 5 LsLsLsLsLsLsLsLsLssLsLs
19|3 7 LsLsLsLsLsLsLsLssLsLsLs
18|4 9 LsLsLsLsLsLsLssLsLsLsLs
17|5 11 LsLsLsLsLsLssLsLsLsLsLs
16|6 13 LsLsLsLsLssLsLsLsLsLsLs
15|7 15 LsLsLsLssLsLsLsLsLsLsLs
14|8 17 LsLsLssLsLsLsLsLsLsLsLs
13|9 19 LsLssLsLsLsLsLsLsLsLsLs
12|10 21 LssLsLsLsLsLsLsLsLsLsLs
11|11 23 sLsLsLsLsLsLsLsLsLsLsLs
10|12 2 sLsLsLsLsLsLsLsLsLsLssL
9|13 4 sLsLsLsLsLsLsLsLsLssLsL
8|14 6 sLsLsLsLsLsLsLsLssLsLsL
7|15 8 sLsLsLsLsLsLsLssLsLsLsL
6|16 10 sLsLsLsLsLsLssLsLsLsLsL
5|17 12 sLsLsLsLsLssLsLsLsLsLsL
4|18 14 sLsLsLsLssLsLsLsLsLsLsL
3|19 16 sLsLsLssLsLsLsLsLsLsLsL
2|20 18 sLsLssLsLsLsLsLsLsLsLsL
1|21 20 sLssLsLsLsLsLsLsLsLsLsL
0|22 22 ssLsLsLsLsLsLsLsLsLsLsL

Tuning spectrum

generator L s L/s gen (cents) comment
1\11 1 0 109.091
10\111 9 1 9.000 108.108
9\100 8 1 8.000 108.000
8\89 7 1 7.000 107.865
15\167 13 2 6.500 107.784
7\78 6 1 6.000 107.692
13\145 11 2 5.500 107.586
6\67 5 1 5.000 107.463
11\123 9 2 4.500 107.317
16\179 13 3 4.333 107.263
5\56 4 1 4.000 107.143
14\157 11 3 3.667 107.006
9\101 7 2 3.500 106.931
13\146 10 3 3.333 106.849
4\45 3 1 3.000 106.667
15\169 11 4 2.750 106.509
11\124 8 3 2.667 106.452
7\79 5 2 2.500 106.329
10\113 7 3 2.333 106.195
13\147 9 4 2.250 106.122
3\34 2 1 2.000 105.882
14\159 9 5 1.800 105.660
11\125 7 4 1.750 105.600
8\91 5 3 1.667 105.495
13\148 8 5 1.600 105.405
5\57 3 2 1.500 105.263
12\137 7 5 1.400 105.109
7\80 4 3 1.333 105.000
9\103 5 4 1.250 104.854
11\126 6 5 1.200 104.762
13\149 7 6 1.167 104.698
15\172 8 7 1.143 104.651
17\195 9 8 1.125 104.615
2\23 1 1 1.000 104.348