1L 11s
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Scale structure
Step pattern
Lsssssssssss
sssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
11\12 to 1\1 (1100.0¢ to 1200.0¢)
Dark
0\1 to 1\12 (0.0¢ to 100.0¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
1L 10s
Sister
11L 1s
Daughters
12L 1s
1L 12s
Equal tunings
Equalized (L:s = 1:1)
11\12 (1100.0¢)
Supersoft (L:s = 4:3)
34\37 (1102.7¢)
Soft (L:s = 3:2)
23\25 (1104.0¢)
Semisoft (L:s = 5:3)
35\38 (1105.3¢)
Basic (L:s = 2:1)
12\13 (1107.7¢)
Semihard (L:s = 5:2)
25\27 (1111.1¢)
Hard (L:s = 3:1)
13\14 (1114.3¢)
Superhard (L:s = 4:1)
14\15 (1120.0¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
Todo: review
Adopt scale tree template, review entries
↑1L 10s | 2L 10s↗ | |
1L 11s | 2L 11s→ | |
↓1L 12s | 2L 12s↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssssL
1L 12s
1L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 11 small steps, repeating every octave. 1L 11s is a grandchild scale of 1L 9s, expanding it by 2 tones. Generators that produce this scale range from 1100¢ to 1200¢, or from 0¢ to 100¢.
The simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, or passion (5;4 = +3 generators), and even there it implies a val with warts for 3 and (for the most part) 5.
Modes
- 11|0 Lsssssssssss
- 10|1 sLssssssssss
- 9|2 ssLsssssssss
- 8|3 sssLssssssss
- 7|4 ssssLsssssss
- 6|5 sssssLssssss
- 5|6 ssssssLsssss
- 4|7 sssssssLssss
- 3|8 ssssssssLsss
- 2|9 sssssssssLss
- 1|10 ssssssssssLs
- 0|11 sssssssssssL
Scale tree
Generator ranges:
- Chroma-positive generator: 1100 cents (11\12) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 100 cents (1\12)
Small step (chroma-negative generator) |
Cents | L | s | L/s | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
1\12 | 100.000 | 1 | 1 | 1.000 | ||||||||
7\85 | 98.824 | 8 | 7 | 1.143 | Passionate/pash | |||||||
6\73 | 98.630 | 7 | 6 | 1.167 | Passionate | |||||||
11\134 | 98.507 | 13 | 11 | 1.182 | ||||||||
5\61 | 98.361 | 6 | 5 | 1.200 | ||||||||
14\171 | 98.246 | 17 | 14 | 1.214 | ||||||||
9\110 | 98.182 | 11 | 9 | 1.222 | ||||||||
13\159 | 98.113 | 16 | 13 | 1.231 | ||||||||
4\49 | 97.959 | 5 | 4 | 1.250 | Passion | |||||||
15\184 | 97.826 | 19 | 15 | 1.267 | ||||||||
11\135 | 97.778 | 14 | 11 | 1.273 | ||||||||
18\221 | 97.738 | 23 | 18 | 1.278 | ||||||||
7\86 | 97.674 | 9 | 7 | 1.286 | ||||||||
17\209 | 97.608 | 22 | 17 | 1.294 | ||||||||
10\123 | 97.561 | 13 | 10 | 1.300 | ||||||||
13\160 | 97.500 | 17 | 13 | 1.308 | ||||||||
3\37 | 97.297 | 4 | 3 | 1.333 | ||||||||
14\173 | 97.110 | 19 | 14 | 1.357 | ||||||||
11\136 | 97.059 | 15 | 11 | 1.364 | ||||||||
19\235 | 97.021 | 26 | 19 | 1.368 | ||||||||
8\99 | 96.970 | 11 | 8 | 1.375 | ||||||||
21\260 | 96.923 | 29 | 21 | 1.381 | ||||||||
13\161 | 96.894 | 18 | 13 | 1.385 | ||||||||
18\223 | 96.861 | 25 | 18 | 1.389 | ||||||||
5\62 | 96.774 | 7 | 5 | 1.400 | ||||||||
17\211 | 96.682 | 24 | 17 | 1.412 | ||||||||
12\149 | 96.644 | 17 | 12 | 1.417 | ||||||||
19\236 | 96.610 | 27 | 19 | 1.421 | ||||||||
7\87 | 96.552 | 10 | 7 | 1.429 | ||||||||
16\199 | 96.482 | 23 | 16 | 1.438 | ||||||||
9\112 | 96.429 | 13 | 9 | 1.444 | ||||||||
11\137 | 96.35 | 16 | 11 | 1.455 | ||||||||
2\25 | 96.000 | 3 | 2 | 1.500 | ||||||||
11\138 | 95.652 | 17 | 11 | 1.545 | ||||||||
9\113 | 95.575 | 14 | 9 | 1.556 | ||||||||
16\201 | 95.522 | 25 | 16 | 1.563 | ||||||||
7\88 | 95.455 | 11 | 7 | 1.571 | ||||||||
19\239 | 95.397 | 30 | 19 | 1.579 | ||||||||
12\151 | 95.364 | 19 | 12 | 1.583 | ||||||||
17\214 | 95.327 | 27 | 17 | 1.588 | ||||||||
5\63 | 95.238 | 8 | 5 | 1.600 | ||||||||
18\227 | 95.154 | 29 | 18 | 1.611 | ||||||||
13\164 | 95.122 | 21 | 13 | 1.615 | ||||||||
21\265 | 95.094 | 34 | 21 | 1.619 | Unnamed golden tuning (95.1020¢) | |||||||
8\101 | 95.050 | 13 | 8 | 1.625 | ||||||||
19\240 | 95.000 | 31 | 19 | 1.632 | ||||||||
11\139 | 94.964 | 18 | 11 | 1.636 | ||||||||
14\177 | 94.915 | 23 | 14 | 1.643 | ||||||||
3\38 | 94.737 | 5 | 3 | 1.667 | ||||||||
13\165 | 94.545 | 22 | 13 | 1.692 | ||||||||
10\127 | 94.488 | 17 | 10 | 1.700 | ||||||||
17\216 | 94.444 | 29 | 17 | 1.706 | ||||||||
7\89 | 94.382 | 12 | 7 | 1.714 | ||||||||
18\229 | 94.323 | 31 | 18 | 1.722 | ||||||||
11\140 | 94.286 | 19 | 11 | 1.727 | ||||||||
15\191 | 94.241 | 26 | 15 | 1.733 | ||||||||
4\51 | 94.118 | 7 | 4 | 1.750 | ||||||||
13\166 | 93.976 | 23 | 13 | 1.769 | ||||||||
9\115 | 93.913 | 16 | 9 | 1.778 | ||||||||
14\179 | 93.855 | 25 | 14 | 1.786 | ||||||||
5\64 | 93.750 | 9 | 5 | 1.800 | ||||||||
11\141 | 93.617 | 20 | 11 | 1.818 | ||||||||
6\77 | 93.506 | 11 | 6 | 1.833 | ||||||||
7\90 | 93.333 | 13 | 7 | 1.857 | ||||||||
1\13 | 92.308 | 2 | 1 | 2.000 | Basic 1L 11s (small steps larger than this are proper) | |||||||
6\79 | 91.139 | 13 | 6 | 2.167 | ||||||||
5\66 | 90.909 | 11 | 5 | 2.200 | ||||||||
9\119 | 90.756 | 20 | 9 | 2.222 | ||||||||
4\53 | 90.566 | 9 | 4 | 2.250 | ||||||||
11\146 | 90.411 | 25 | 11 | 2.273 | ||||||||
7\93 | 90.323 | 16 | 7 | 2.286 | ||||||||
10\133 | 90.226 | 23 | 10 | 2.300 | ||||||||
3\40 | 90.000 | 7 | 3 | 2.333 | ||||||||
11\147 | 89.796 | 26 | 11 | 2.364 | ||||||||
8\107 | 89.720 | 19 | 8 | 2.375 | ||||||||
13\174 | 89.655 | 31 | 13 | 2.385 | ||||||||
5\67 | 89.552 | 12 | 5 | 2.400 | ||||||||
12\161 | 89.441 | 29 | 12 | 2.417 | ||||||||
7\94 | 89.362 | 17 | 7 | 2.429 | ||||||||
9\121 | 89.256 | 22 | 9 | 2.444 | Slithy | |||||||
2\27 | 88.889 | 5 | 2 | 2.500 | ||||||||
9\122 | 88.525 | 23 | 9 | 2.556 | ||||||||
7\95 | 88.421 | 18 | 7 | 2.571 | ||||||||
12\163 | 88.344 | 31 | 12 | 2.583 | ||||||||
5\68 | 88.235 | 13 | 5 | 2.600 | ||||||||
13\177 | 88.136 | 34 | 13 | 2.615 | Golden octacot (88.1184¢) | |||||||
8\109 | 88.073 | 21 | 8 | 2.625 | Octacot | |||||||
11\150 | 88.000 | 29 | 11 | 2.636 | Octacot | |||||||
3\41 | 87.805 | 8 | 3 | 2.667 | ||||||||
10\137 | 87.591 | 27 | 10 | 2.700 | ||||||||
7\96 | 87.500 | 19 | 7 | 2.714 | ||||||||
11\151 | 87.417 | 30 | 11 | 2.727 | ||||||||
4\55 | 87.273 | 11 | 4 | 2.750 | ||||||||
9\124 | 87.097 | 25 | 9 | 2.777 | ||||||||
5\69 | 86.957 | 14 | 5 | 2.800 | ||||||||
6\83 | 86.747 | 17 | 6 | 2.833 | ||||||||
1\14 | 85.714 | 3 | 1 | 3.000 | ||||||||
5\71 | 84.507 | 16 | 5 | 3.200 | ||||||||
4\57 | 84.211 | 13 | 4 | 3.250 | ||||||||
7\100 | 84.000 | 23 | 7 | 3.286 | ||||||||
3\43 | 83.721 | 10 | 3 | 3.333 | ||||||||
8\115 | 83.478 | 27 | 8 | 3.375 | ||||||||
5\72 | 83.333 | 17 | 5 | 3.400 | Marvolo | |||||||
7\101 | 83.168 | 24 | 7 | 3.429 | ||||||||
2\29 | 82.759 | 7 | 2 | 3.500 | ||||||||
7\102 | 82.353 | 25 | 7 | 3.571 | ||||||||
5\73 | 82.192 | 18 | 5 | 3.600 | ||||||||
8\117 | 82.051 | 29 | 8 | 3.625 | ||||||||
3\44 | 81.818 | 11 | 3 | 3.667 | ||||||||
7\103 | 81.553 | 26 | 7 | 3.714 | ||||||||
4\59 | 81.356 | 15 | 4 | 3.750 | ||||||||
5\74 | 81.081 | 19 | 5 | 3.800 | ||||||||
1\15 | 80.000 | 4 | 1 | 4.000 | ||||||||
4\61 | 78.689 | 17 | 4 | 4.250 | ||||||||
3\46 | 78.261 | 13 | 3 | 4.333 | ||||||||
5\77 | 77.922 | 22 | 5 | 4.400 | Valentine | |||||||
2\31 | 77.419 | 9 | 2 | 4.500 | ||||||||
5\78 | 76.923 | 23 | 5 | 4.600 | ||||||||
3\47 | 76.596 | 14 | 3 | 4.667 | ||||||||
4\63 | 76.190 | 19 | 4 | 4.750 | ||||||||
1\16 | 75.000 | 5 | 1 | 5.000 | ||||||||
3\49 | 73.469 | 16 | 3 | 5.333 | ||||||||
2\33 | 72.727 | 11 | 2 | 5.500 | ||||||||
3\50 | 72.000 | 17 | 3 | 5.667 | ||||||||
1\17 | 70.588 | 6 | 1 | 6.000 | ||||||||
2\35 | 68.571 | 13 | 2 | 6.500 | ||||||||
1\18 | 66.667 | 7 | 1 | 7.000 | ||||||||
1\19 | 63.158 | 8 | 1 | 8.000 | Unicorn | |||||||
0\1 | 0.000 | 1 | 0 | → inf |