1L 11s

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Adopt scale tree template, review entries
↑1L 10s 2L 10s ↗
1L 11s 2L 11s →
↓1L 12s 2L 12s ↘
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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)
Ancestor's step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 1L 10s
Sister 11L 1s
Daughters 12L 1s, 1L 12s
Neutralized 2L 10s
2-Flought 13L 11s, 1L 23s
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¢)

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