1L 11s

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↑ 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
Related to 1L 9s (antisinatonic)
With tunings 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.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 1L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\12 1100.000 100.000 1:1 1.000 Equalized 1L 11s
56\61 1101.639 98.361 6:5 1.200 Passionate
45\49 1102.041 97.959 5:4 1.250 Passion
79\86 1102.326 97.674 9:7 1.286
34\37 1102.703 97.297 4:3 1.333 Supersoft 1L 11s
91\99 1103.030 96.970 11:8 1.375
57\62 1103.226 96.774 7:5 1.400
80\87 1103.448 96.552 10:7 1.429
23\25 1104.000 96.000 3:2 1.500 Soft 1L 11s
81\88 1104.545 95.455 11:7 1.571
58\63 1104.762 95.238 8:5 1.600
93\101 1104.950 95.050 13:8 1.625 Unnamed golden tuning
35\38 1105.263 94.737 5:3 1.667 Semisoft 1L 11s
82\89 1105.618 94.382 12:7 1.714
47\51 1105.882 94.118 7:4 1.750
59\64 1106.250 93.750 9:5 1.800
12\13 1107.692 92.308 2:1 2.000 Basic 1L 11s
Scales with tunings softer than this are proper
49\53 1109.434 90.566 9:4 2.250
37\40 1110.000 90.000 7:3 2.333
62\67 1110.448 89.552 12:5 2.400 Slithy
25\27 1111.111 88.889 5:2 2.500 Semihard 1L 11s
63\68 1111.765 88.235 13:5 2.600 Golden octacot (88.118¢)
38\41 1112.195 87.805 8:3 2.667
51\55 1112.727 87.273 11:4 2.750
13\14 1114.286 85.714 3:1 3.000 Hard 1L 11s
40\43 1116.279 83.721 10:3 3.333 Marvolo
27\29 1117.241 82.759 7:2 3.500 Nautilus
41\44 1118.182 81.818 11:3 3.667
14\15 1120.000 80.000 4:1 4.000 Superhard 1L 11s
Nuke
29\31 1122.581 77.419 9:2 4.500 Valentine
15\16 1125.000 75.000 5:1 5.000
16\17 1129.412 70.588 6:1 6.000 Slurpee, ↓ unicorn
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 11s