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11L 12s

Revision as of 00:16, 15 December 2024 by BudjarnLambeth (talk | contribs) (Intervals)

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 ¢.

↖ 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 ¢)
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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

Intervals

Intervals of 11L 12s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 52.2 ¢
Major 1-mosstep M1ms L 52.2 ¢ to 109.1 ¢
2-mosstep Diminished 2-mosstep d2ms 2s 0.0 ¢ to 104.3 ¢
Perfect 2-mosstep P2ms L + s 104.3 ¢ to 109.1 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 109.1 ¢ to 156.5 ¢
Major 3-mosstep M3ms 2L + s 156.5 ¢ to 218.2 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 109.1 ¢ to 208.7 ¢
Major 4-mosstep M4ms 2L + 2s 208.7 ¢ to 218.2 ¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 218.2 ¢ to 260.9 ¢
Major 5-mosstep M5ms 3L + 2s 260.9 ¢ to 327.3 ¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 218.2 ¢ to 313.0 ¢
Major 6-mosstep M6ms 3L + 3s 313.0 ¢ to 327.3 ¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 327.3 ¢ to 365.2 ¢
Major 7-mosstep M7ms 4L + 3s 365.2 ¢ to 436.4 ¢
8-mosstep Minor 8-mosstep m8ms 3L + 5s 327.3 ¢ to 417.4 ¢
Major 8-mosstep M8ms 4L + 4s 417.4 ¢ to 436.4 ¢
9-mosstep Minor 9-mosstep m9ms 4L + 5s 436.4 ¢ to 469.6 ¢
Major 9-mosstep M9ms 5L + 4s 469.6 ¢ to 545.5 ¢
10-mosstep Minor 10-mosstep m10ms 4L + 6s 436.4 ¢ to 521.7 ¢
Major 10-mosstep M10ms 5L + 5s 521.7 ¢ to 545.5 ¢
11-mosstep Minor 11-mosstep m11ms 5L + 6s 545.5 ¢ to 573.9 ¢
Major 11-mosstep M11ms 6L + 5s 573.9 ¢ to 654.5 ¢
12-mosstep Minor 12-mosstep m12ms 5L + 7s 545.5 ¢ to 626.1 ¢
Major 12-mosstep M12ms 6L + 6s 626.1 ¢ to 654.5 ¢
13-mosstep Minor 13-mosstep m13ms 6L + 7s 654.5 ¢ to 678.3 ¢
Major 13-mosstep M13ms 7L + 6s 678.3 ¢ to 763.6 ¢
14-mosstep Minor 14-mosstep m14ms 6L + 8s 654.5 ¢ to 730.4 ¢
Major 14-mosstep M14ms 7L + 7s 730.4 ¢ to 763.6 ¢
15-mosstep Minor 15-mosstep m15ms 7L + 8s 763.6 ¢ to 782.6 ¢
Major 15-mosstep M15ms 8L + 7s 782.6 ¢ to 872.7 ¢
16-mosstep Minor 16-mosstep m16ms 7L + 9s 763.6 ¢ to 834.8 ¢
Major 16-mosstep M16ms 8L + 8s 834.8 ¢ to 872.7 ¢
17-mosstep Minor 17-mosstep m17ms 8L + 9s 872.7 ¢ to 887.0 ¢
Major 17-mosstep M17ms 9L + 8s 887.0 ¢ to 981.8 ¢
18-mosstep Minor 18-mosstep m18ms 8L + 10s 872.7 ¢ to 939.1 ¢
Major 18-mosstep M18ms 9L + 9s 939.1 ¢ to 981.8 ¢
19-mosstep Minor 19-mosstep m19ms 9L + 10s 981.8 ¢ to 991.3 ¢
Major 19-mosstep M19ms 10L + 9s 991.3 ¢ to 1090.9 ¢
20-mosstep Minor 20-mosstep m20ms 9L + 11s 981.8 ¢ to 1043.5 ¢
Major 20-mosstep M20ms 10L + 10s 1043.5 ¢ to 1090.9 ¢
21-mosstep Perfect 21-mosstep P21ms 10L + 11s 1090.9 ¢ to 1095.7 ¢
Augmented 21-mosstep A21ms 11L + 10s 1095.7 ¢ to 1200.0 ¢
22-mosstep Minor 22-mosstep m22ms 10L + 12s 1090.9 ¢ to 1147.8 ¢
Major 22-mosstep M22ms 11L + 11s 1147.8 ¢ to 1200.0 ¢
23-mosstep Perfect 23-mosstep P23ms 11L + 12s 1200.0 ¢

Scale tree

  Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 11L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\23 104.348 1095.652 1:1 1.000 Equalized 11L 12s
11\126 104.762 1095.238 6:5 1.200
9\103 104.854 1095.146 5:4 1.250
16\183 104.918 1095.082 9:7 1.286
7\80 105.000 1095.000 4:3 1.333 Supersoft 11L 12s
19\217 105.069 1094.931 11:8 1.375
12\137 105.109 1094.891 7:5 1.400
17\194 105.155 1094.845 10:7 1.429
5\57 105.263 1094.737 3:2 1.500 Soft 11L 12s
18\205 105.366 1094.634 11:7 1.571
13\148 105.405 1094.595 8:5 1.600
21\239 105.439 1094.561 13:8 1.625
8\91 105.495 1094.505 5:3 1.667 Semisoft 11L 12s
19\216 105.556 1094.444 12:7 1.714
11\125 105.600 1094.400 7:4 1.750
14\159 105.660 1094.340 9:5 1.800
3\34 105.882 1094.118 2:1 2.000 Basic 11L 12s
Scales with tunings softer than this are proper
13\147 106.122 1093.878 9:4 2.250
10\113 106.195 1093.805 7:3 2.333
17\192 106.250 1093.750 12:5 2.400
7\79 106.329 1093.671 5:2 2.500 Semihard 11L 12s
18\203 106.404 1093.596 13:5 2.600
11\124 106.452 1093.548 8:3 2.667
15\169 106.509 1093.491 11:4 2.750
4\45 106.667 1093.333 3:1 3.000 Hard 11L 12s
13\146 106.849 1093.151 10:3 3.333
9\101 106.931 1093.069 7:2 3.500
14\157 107.006 1092.994 11:3 3.667
5\56 107.143 1092.857 4:1 4.000 Superhard 11L 12s
11\123 107.317 1092.683 9:2 4.500
6\67 107.463 1092.537 5:1 5.000
7\78 107.692 1092.308 6:1 6.000
1\11 109.091 1090.909 1:0 → ∞ Collapsed 11L 12s


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