12L 11s

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Revision as of 06:00, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)
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↖ 11L 10s ↑ 12L 10s 13L 10s ↗
← 11L 11s 12L 11s 13L 11s →
↙ 11L 12s ↓ 12L 12s 13L 12s ↘
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 21\23 to 11\12 (1095.7 ¢ to 1100.0 ¢)
Dark 1\12 to 2\23 (100.0 ¢ to 104.3 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 5:2 to 3:1 (quasihard)
Related MOS scales
Parent 11L 1s
Sister 11L 12s
Daughters 23L 12s, 12L 23s
Neutralized 1L 22s
2-Flought 35L 11s, 12L 34s
Equal tunings
Equalized (L:s = 1:1) 21\23 (1095.7 ¢)
Supersoft (L:s = 4:3) 74\81 (1096.3 ¢)
Soft (L:s = 3:2) 53\58 (1096.6 ¢)
Semisoft (L:s = 5:3) 85\93 (1096.8 ¢)
Basic (L:s = 2:1) 32\35 (1097.1 ¢)
Semihard (L:s = 5:2) 75\82 (1097.6 ¢)
Hard (L:s = 3:1) 43\47 (1097.9 ¢)
Superhard (L:s = 4:1) 54\59 (1098.3 ¢)
Collapsed (L:s = 1:0) 11\12 (1100.0 ¢)

12L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 11 small steps, repeating every octave. 12L 11s is a great-grandchild scale of 1L 9s, expanding it by 13 tones. Generators that produce this scale range from 1095.7 ¢ to 1100 ¢, or from 100 ¢ to 104.3 ¢.

Modes

Modes of 12L 11s
UDP Cyclic
order
Step
pattern
22|0 1 LLsLsLsLsLsLsLsLsLsLsLs
21|1 22 LsLLsLsLsLsLsLsLsLsLsLs
20|2 20 LsLsLLsLsLsLsLsLsLsLsLs
19|3 18 LsLsLsLLsLsLsLsLsLsLsLs
18|4 16 LsLsLsLsLLsLsLsLsLsLsLs
17|5 14 LsLsLsLsLsLLsLsLsLsLsLs
16|6 12 LsLsLsLsLsLsLLsLsLsLsLs
15|7 10 LsLsLsLsLsLsLsLLsLsLsLs
14|8 8 LsLsLsLsLsLsLsLsLLsLsLs
13|9 6 LsLsLsLsLsLsLsLsLsLLsLs
12|10 4 LsLsLsLsLsLsLsLsLsLsLLs
11|11 2 LsLsLsLsLsLsLsLsLsLsLsL
10|12 23 sLLsLsLsLsLsLsLsLsLsLsL
9|13 21 sLsLLsLsLsLsLsLsLsLsLsL
8|14 19 sLsLsLLsLsLsLsLsLsLsLsL
7|15 17 sLsLsLsLLsLsLsLsLsLsLsL
6|16 15 sLsLsLsLsLLsLsLsLsLsLsL
5|17 13 sLsLsLsLsLsLLsLsLsLsLsL
4|18 11 sLsLsLsLsLsLsLLsLsLsLsL
3|19 9 sLsLsLsLsLsLsLsLLsLsLsL
2|20 7 sLsLsLsLsLsLsLsLsLLsLsL
1|21 5 sLsLsLsLsLsLsLsLsLsLLsL
0|22 3 sLsLsLsLsLsLsLsLsLsLsLL

Tuning spectrum

generator L s L/s gen (cents) comment
1\12 1 0 100.000
10\119 9 1 9.000 100.840
9\107 8 1 8.000 100.935
8\95 7 1 7.000 101.053
15\178 13 2 6.500 101.124
7\83 6 1 6.000 101.205
13\154 11 2 5.500 101.299
6\71 5 1 5.000 101.408
11\130 9 2 4.500 101.538
5\59 4 1 4.000 101.695
14\165 11 3 3.667 101.818
9\106 7 2 3.500 101.887
13\153 10 3 3.333 101.961
4\47 3 1 3.000 102.128
15\176 11 4 2.750 102.273
11\129 8 3 2.667 102.326
7\82 5 2 2.500 102.439
10\117 7 3 2.333 102.564
13\152 9 4 2.250 102.632
3\35 2 1 2.000 102.857
14\163 9 5 1.800 103.067
11\128 7 4 1.750 103.125
8\93 5 3 1.667 103.226
13\151 8 5 1.600 103.311
5\58 3 2 1.500 103.448
12\139 7 5 1.400 103.597
7\81 4 3 1.333 103.704
9\104 5 4 1.250 103.846
11\127 6 5 1.200 103.937
13\150 7 6 1.167 104.000
15\173 8 7 1.143 104.046
17\196 9 8 1.125 104.082
2\23 1 1 1.000 104.348