11L 11s
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Scale structure
Step pattern
LsLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
1\11 (109.1¢)
Generator size
Bright
1\22 to 1\11 (54.5¢ to 109.1¢)
Dark
0\11 to 1\22 (0.0¢ to 54.5¢)
Related MOS scales
Parent
11L 0s
Sister
11L 11s
Daughters
22L 11s, 11L 22s
Neutralized
22L 0s
2-Flought
33L 11s, 11L 33s
Equal tunings
Equalized (L:s = 1:1)
1\22 (54.5¢)
Supersoft (L:s = 4:3)
4\77 (62.3¢)
Soft (L:s = 3:2)
3\55 (65.5¢)
Semisoft (L:s = 5:3)
5\88 (68.2¢)
Basic (L:s = 2:1)
2\33 (72.7¢)
Semihard (L:s = 5:2)
5\77 (77.9¢)
Hard (L:s = 3:1)
3\44 (81.8¢)
Superhard (L:s = 4:1)
4\55 (87.3¢)
Collapsed (L:s = 1:0)
1\11 (109.1¢)
| ↖ 10L 10s | ↑ 11L 10s | 12L 10s ↗ |
| ← 10L 11s | 11L 11s | 12L 11s → |
| ↙ 10L 12s | ↓ 11L 12s | 12L 12s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║│║│║│║│║│║│║│║│║│║│║││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLsLsLsLsL
11L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 11 small steps, with a period of 1 large step and 1 small step that repeats every 109.1¢, or 11 times every octave. Generators that produce this scale range from 54.5¢ to 109.1¢, or from 0¢ to 54.5¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 11|0(11) | 1 | LsLsLsLsLsLsLsLsLsLsLs |
| 0|11(11) | 2 | sLsLsLsLsLsLsLsLsLsLsL |
Intervals
| 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 54.5¢ |
| Major 1-mosstep | M1ms | L | 54.5¢ to 109.1¢ | |
| 2-mosstep | Perfect 2-mosstep | P2ms | L + s | 109.1¢ |
| 3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 109.1¢ to 163.6¢ |
| Major 3-mosstep | M3ms | 2L + s | 163.6¢ to 218.2¢ | |
| 4-mosstep | Perfect 4-mosstep | P4ms | 2L + 2s | 218.2¢ |
| 5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 218.2¢ to 272.7¢ |
| Major 5-mosstep | M5ms | 3L + 2s | 272.7¢ to 327.3¢ | |
| 6-mosstep | Perfect 6-mosstep | P6ms | 3L + 3s | 327.3¢ |
| 7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 327.3¢ to 381.8¢ |
| Major 7-mosstep | M7ms | 4L + 3s | 381.8¢ to 436.4¢ | |
| 8-mosstep | Perfect 8-mosstep | P8ms | 4L + 4s | 436.4¢ |
| 9-mosstep | Minor 9-mosstep | m9ms | 4L + 5s | 436.4¢ to 490.9¢ |
| Major 9-mosstep | M9ms | 5L + 4s | 490.9¢ to 545.5¢ | |
| 10-mosstep | Perfect 10-mosstep | P10ms | 5L + 5s | 545.5¢ |
| 11-mosstep | Minor 11-mosstep | m11ms | 5L + 6s | 545.5¢ to 600.0¢ |
| Major 11-mosstep | M11ms | 6L + 5s | 600.0¢ to 654.5¢ | |
| 12-mosstep | Perfect 12-mosstep | P12ms | 6L + 6s | 654.5¢ |
| 13-mosstep | Minor 13-mosstep | m13ms | 6L + 7s | 654.5¢ to 709.1¢ |
| Major 13-mosstep | M13ms | 7L + 6s | 709.1¢ to 763.6¢ | |
| 14-mosstep | Perfect 14-mosstep | P14ms | 7L + 7s | 763.6¢ |
| 15-mosstep | Minor 15-mosstep | m15ms | 7L + 8s | 763.6¢ to 818.2¢ |
| Major 15-mosstep | M15ms | 8L + 7s | 818.2¢ to 872.7¢ | |
| 16-mosstep | Perfect 16-mosstep | P16ms | 8L + 8s | 872.7¢ |
| 17-mosstep | Minor 17-mosstep | m17ms | 8L + 9s | 872.7¢ to 927.3¢ |
| Major 17-mosstep | M17ms | 9L + 8s | 927.3¢ to 981.8¢ | |
| 18-mosstep | Perfect 18-mosstep | P18ms | 9L + 9s | 981.8¢ |
| 19-mosstep | Minor 19-mosstep | m19ms | 9L + 10s | 981.8¢ to 1036.4¢ |
| Major 19-mosstep | M19ms | 10L + 9s | 1036.4¢ to 1090.9¢ | |
| 20-mosstep | Perfect 20-mosstep | P20ms | 10L + 10s | 1090.9¢ |
| 21-mosstep | Minor 21-mosstep | m21ms | 10L + 11s | 1090.9¢ to 1145.5¢ |
| Major 21-mosstep | M21ms | 11L + 10s | 1145.5¢ to 1200.0¢ | |
| 22-mosstep | Perfect 22-mosstep | P22ms | 11L + 11s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\22 | 54.545 | 54.545 | 1:1 | 1.000 | Equalized 11L 11s | |||||
| 6\121 | 59.504 | 49.587 | 6:5 | 1.200 | ||||||
| 5\99 | 60.606 | 48.485 | 5:4 | 1.250 | ||||||
| 9\176 | 61.364 | 47.727 | 9:7 | 1.286 | ||||||
| 4\77 | 62.338 | 46.753 | 4:3 | 1.333 | Supersoft 11L 11s | |||||
| 11\209 | 63.158 | 45.933 | 11:8 | 1.375 | ||||||
| 7\132 | 63.636 | 45.455 | 7:5 | 1.400 | ||||||
| 10\187 | 64.171 | 44.920 | 10:7 | 1.429 | ||||||
| 3\55 | 65.455 | 43.636 | 3:2 | 1.500 | Soft 11L 11s | |||||
| 11\198 | 66.667 | 42.424 | 11:7 | 1.571 | ||||||
| 8\143 | 67.133 | 41.958 | 8:5 | 1.600 | ||||||
| 13\231 | 67.532 | 41.558 | 13:8 | 1.625 | ||||||
| 5\88 | 68.182 | 40.909 | 5:3 | 1.667 | Semisoft 11L 11s | |||||
| 12\209 | 68.900 | 40.191 | 12:7 | 1.714 | ||||||
| 7\121 | 69.421 | 39.669 | 7:4 | 1.750 | ||||||
| 9\154 | 70.130 | 38.961 | 9:5 | 1.800 | ||||||
| 2\33 | 72.727 | 36.364 | 2:1 | 2.000 | Basic 11L 11s | |||||
| 9\143 | 75.524 | 33.566 | 9:4 | 2.250 | ||||||
| 7\110 | 76.364 | 32.727 | 7:3 | 2.333 | ||||||
| 12\187 | 77.005 | 32.086 | 12:5 | 2.400 | ||||||
| 5\77 | 77.922 | 31.169 | 5:2 | 2.500 | Semihard 11L 11s | |||||
| 13\198 | 78.788 | 30.303 | 13:5 | 2.600 | ||||||
| 8\121 | 79.339 | 29.752 | 8:3 | 2.667 | ||||||
| 11\165 | 80.000 | 29.091 | 11:4 | 2.750 | ||||||
| 3\44 | 81.818 | 27.273 | 3:1 | 3.000 | Hard 11L 11s | |||||
| 10\143 | 83.916 | 25.175 | 10:3 | 3.333 | ||||||
| 7\99 | 84.848 | 24.242 | 7:2 | 3.500 | ||||||
| 11\154 | 85.714 | 23.377 | 11:3 | 3.667 | ||||||
| 4\55 | 87.273 | 21.818 | 4:1 | 4.000 | Superhard 11L 11s | |||||
| 9\121 | 89.256 | 19.835 | 9:2 | 4.500 | ||||||
| 5\66 | 90.909 | 18.182 | 5:1 | 5.000 | ||||||
| 6\77 | 93.506 | 15.584 | 6:1 | 6.000 | ||||||
| 1\11 | 109.091 | 0.000 | 1:0 | → ∞ | Collapsed 11L 11s | |||||
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