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)
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 10s | 2L 10s ↗ | |
| 1L 11s | 2L 11s → | |
| ↓ 1L 12s | 2L 12s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssssL
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
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 11|0 | 1 | Lsssssssssss |
| 10|1 | 12 | sLssssssssss |
| 9|2 | 11 | ssLsssssssss |
| 8|3 | 10 | sssLssssssss |
| 7|4 | 9 | ssssLsssssss |
| 6|5 | 8 | sssssLssssss |
| 5|6 | 7 | ssssssLsssss |
| 4|7 | 6 | sssssssLssss |
| 3|8 | 5 | ssssssssLsss |
| 2|9 | 4 | sssssssssLss |
| 1|10 | 3 | ssssssssssLs |
| 0|11 | 2 | sssssssssssL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Perfect 1-mosstep | P1ms | s | 0.0¢ to 100.0¢ |
| Augmented 1-mosstep | A1ms | L | 100.0¢ to 1200.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 200.0¢ |
| Major 2-mosstep | M2ms | L + s | 200.0¢ to 1200.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 300.0¢ |
| Major 3-mosstep | M3ms | L + 2s | 300.0¢ to 1200.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0¢ to 400.0¢ |
| Major 4-mosstep | M4ms | L + 3s | 400.0¢ to 1200.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 5s | 0.0¢ to 500.0¢ |
| Major 5-mosstep | M5ms | L + 4s | 500.0¢ to 1200.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 6s | 0.0¢ to 600.0¢ |
| Major 6-mosstep | M6ms | L + 5s | 600.0¢ to 1200.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 7s | 0.0¢ to 700.0¢ |
| Major 7-mosstep | M7ms | L + 6s | 700.0¢ to 1200.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 8s | 0.0¢ to 800.0¢ |
| Major 8-mosstep | M8ms | L + 7s | 800.0¢ to 1200.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 9s | 0.0¢ to 900.0¢ |
| Major 9-mosstep | M9ms | L + 8s | 900.0¢ to 1200.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 10s | 0.0¢ to 1000.0¢ |
| Major 10-mosstep | M10ms | L + 9s | 1000.0¢ to 1200.0¢ | |
| 11-mosstep | Diminished 11-mosstep | d11ms | 11s | 0.0¢ to 1100.0¢ |
| Perfect 11-mosstep | P11ms | L + 10s | 1100.0¢ to 1200.0¢ | |
| 12-mosstep | Perfect 12-mosstep | P12ms | L + 11s | 1200.0¢ |
Scale tree
| 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 | ↓ Unicorn | |||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 11s | |||||