11L 12s
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Scale structure
Step pattern
LsLsLsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
2\23 to 1\11 (104.3¢ to 109.1¢)
Dark
10\11 to 21\23 (1090.9¢ to 1095.7¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
2:1 to 5:2 (minihard)
Related MOS scales
Parent
11L 1s
Sister
12L 11s
Daughters
23L 11s, 11L 23s
Neutralized
22L 1s
2-Flought
34L 12s, 11L 35s
Equal tunings
Equalized (L:s = 1:1)
2\23 (104.3¢)
Supersoft (L:s = 4:3)
7\80 (105.0¢)
Soft (L:s = 3:2)
5\57 (105.3¢)
Semisoft (L:s = 5:3)
8\91 (105.5¢)
Basic (L:s = 2:1)
3\34 (105.9¢)
Semihard (L:s = 5:2)
7\79 (106.3¢)
Hard (L:s = 3:1)
4\45 (106.7¢)
Superhard (L:s = 4:1)
5\56 (107.1¢)
Collapsed (L:s = 1:0)
1\11 (109.1¢)
↖ 10L 11s | ↑ 11L 11s | 12L 11s ↗ |
← 10L 12s | 11L 12s | 12L 12s → |
↙ 10L 13s | ↓ 11L 13s | 12L 13s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsLsLsLsLsLsLsL
11L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 12 small steps, repeating every octave. 11L 12s is a great-grandchild scale of 1L 9s, expanding it by 13 tones. Generators that produce this scale range from 104.3¢ to 109.1¢, or from 1090.9¢ to 1095.7¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
22|0 | 1 | LsLsLsLsLsLsLsLsLsLsLss |
21|1 | 3 | LsLsLsLsLsLsLsLsLsLssLs |
20|2 | 5 | LsLsLsLsLsLsLsLsLssLsLs |
19|3 | 7 | LsLsLsLsLsLsLsLssLsLsLs |
18|4 | 9 | LsLsLsLsLsLsLssLsLsLsLs |
17|5 | 11 | LsLsLsLsLsLssLsLsLsLsLs |
16|6 | 13 | LsLsLsLsLssLsLsLsLsLsLs |
15|7 | 15 | LsLsLsLssLsLsLsLsLsLsLs |
14|8 | 17 | LsLsLssLsLsLsLsLsLsLsLs |
13|9 | 19 | LsLssLsLsLsLsLsLsLsLsLs |
12|10 | 21 | LssLsLsLsLsLsLsLsLsLsLs |
11|11 | 23 | sLsLsLsLsLsLsLsLsLsLsLs |
10|12 | 2 | sLsLsLsLsLsLsLsLsLsLssL |
9|13 | 4 | sLsLsLsLsLsLsLsLsLssLsL |
8|14 | 6 | sLsLsLsLsLsLsLsLssLsLsL |
7|15 | 8 | sLsLsLsLsLsLsLssLsLsLsL |
6|16 | 10 | sLsLsLsLsLsLssLsLsLsLsL |
5|17 | 12 | sLsLsLsLsLssLsLsLsLsLsL |
4|18 | 14 | sLsLsLsLssLsLsLsLsLsLsL |
3|19 | 16 | sLsLsLssLsLsLsLsLsLsLsL |
2|20 | 18 | sLsLssLsLsLsLsLsLsLsLsL |
1|21 | 20 | sLssLsLsLsLsLsLsLsLsLsL |
0|22 | 22 | ssLsLsLsLsLsLsLsLsLsLsL |
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 52.2¢ |
Major 1-mosstep | M1ms | L | 52.2¢ to 109.1¢ | |
2-mosstep | Diminished 2-mosstep | d2ms | 2s | 0.0¢ to 104.3¢ |
Perfect 2-mosstep | P2ms | L + s | 104.3¢ to 109.1¢ | |
3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 109.1¢ to 156.5¢ |
Major 3-mosstep | M3ms | 2L + s | 156.5¢ to 218.2¢ | |
4-mosstep | Minor 4-mosstep | m4ms | L + 3s | 109.1¢ to 208.7¢ |
Major 4-mosstep | M4ms | 2L + 2s | 208.7¢ to 218.2¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 218.2¢ to 260.9¢ |
Major 5-mosstep | M5ms | 3L + 2s | 260.9¢ to 327.3¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 2L + 4s | 218.2¢ to 313.0¢ |
Major 6-mosstep | M6ms | 3L + 3s | 313.0¢ to 327.3¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 327.3¢ to 365.2¢ |
Major 7-mosstep | M7ms | 4L + 3s | 365.2¢ to 436.4¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 3L + 5s | 327.3¢ to 417.4¢ |
Major 8-mosstep | M8ms | 4L + 4s | 417.4¢ to 436.4¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 4L + 5s | 436.4¢ to 469.6¢ |
Major 9-mosstep | M9ms | 5L + 4s | 469.6¢ to 545.5¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 4L + 6s | 436.4¢ to 521.7¢ |
Major 10-mosstep | M10ms | 5L + 5s | 521.7¢ to 545.5¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 5L + 6s | 545.5¢ to 573.9¢ |
Major 11-mosstep | M11ms | 6L + 5s | 573.9¢ to 654.5¢ | |
12-mosstep | Minor 12-mosstep | m12ms | 5L + 7s | 545.5¢ to 626.1¢ |
Major 12-mosstep | M12ms | 6L + 6s | 626.1¢ to 654.5¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 6L + 7s | 654.5¢ to 678.3¢ |
Major 13-mosstep | M13ms | 7L + 6s | 678.3¢ to 763.6¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 6L + 8s | 654.5¢ to 730.4¢ |
Major 14-mosstep | M14ms | 7L + 7s | 730.4¢ to 763.6¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 7L + 8s | 763.6¢ to 782.6¢ |
Major 15-mosstep | M15ms | 8L + 7s | 782.6¢ to 872.7¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 7L + 9s | 763.6¢ to 834.8¢ |
Major 16-mosstep | M16ms | 8L + 8s | 834.8¢ to 872.7¢ | |
17-mosstep | Minor 17-mosstep | m17ms | 8L + 9s | 872.7¢ to 887.0¢ |
Major 17-mosstep | M17ms | 9L + 8s | 887.0¢ to 981.8¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 8L + 10s | 872.7¢ to 939.1¢ |
Major 18-mosstep | M18ms | 9L + 9s | 939.1¢ to 981.8¢ | |
19-mosstep | Minor 19-mosstep | m19ms | 9L + 10s | 981.8¢ to 991.3¢ |
Major 19-mosstep | M19ms | 10L + 9s | 991.3¢ to 1090.9¢ | |
20-mosstep | Minor 20-mosstep | m20ms | 9L + 11s | 981.8¢ to 1043.5¢ |
Major 20-mosstep | M20ms | 10L + 10s | 1043.5¢ to 1090.9¢ | |
21-mosstep | Perfect 21-mosstep | P21ms | 10L + 11s | 1090.9¢ to 1095.7¢ |
Augmented 21-mosstep | A21ms | 11L + 10s | 1095.7¢ to 1200.0¢ | |
22-mosstep | Minor 22-mosstep | m22ms | 10L + 12s | 1090.9¢ to 1147.8¢ |
Major 22-mosstep | M22ms | 11L + 11s | 1147.8¢ to 1200.0¢ | |
23-mosstep | Perfect 23-mosstep | P23ms | 11L + 12s | 1200.0¢ |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
2\23 | 104.348 | 1095.652 | 1:1 | 1.000 | Equalized 11L 12s | |||||
11\126 | 104.762 | 1095.238 | 6:5 | 1.200 | ||||||
9\103 | 104.854 | 1095.146 | 5:4 | 1.250 | ||||||
16\183 | 104.918 | 1095.082 | 9:7 | 1.286 | ||||||
7\80 | 105.000 | 1095.000 | 4:3 | 1.333 | Supersoft 11L 12s | |||||
19\217 | 105.069 | 1094.931 | 11:8 | 1.375 | ||||||
12\137 | 105.109 | 1094.891 | 7:5 | 1.400 | ||||||
17\194 | 105.155 | 1094.845 | 10:7 | 1.429 | ||||||
5\57 | 105.263 | 1094.737 | 3:2 | 1.500 | Soft 11L 12s | |||||
18\205 | 105.366 | 1094.634 | 11:7 | 1.571 | ||||||
13\148 | 105.405 | 1094.595 | 8:5 | 1.600 | ||||||
21\239 | 105.439 | 1094.561 | 13:8 | 1.625 | ||||||
8\91 | 105.495 | 1094.505 | 5:3 | 1.667 | Semisoft 11L 12s | |||||
19\216 | 105.556 | 1094.444 | 12:7 | 1.714 | ||||||
11\125 | 105.600 | 1094.400 | 7:4 | 1.750 | ||||||
14\159 | 105.660 | 1094.340 | 9:5 | 1.800 | ||||||
3\34 | 105.882 | 1094.118 | 2:1 | 2.000 | Basic 11L 12s Scales with tunings softer than this are proper | |||||
13\147 | 106.122 | 1093.878 | 9:4 | 2.250 | ||||||
10\113 | 106.195 | 1093.805 | 7:3 | 2.333 | ||||||
17\192 | 106.250 | 1093.750 | 12:5 | 2.400 | ||||||
7\79 | 106.329 | 1093.671 | 5:2 | 2.500 | Semihard 11L 12s | |||||
18\203 | 106.404 | 1093.596 | 13:5 | 2.600 | ||||||
11\124 | 106.452 | 1093.548 | 8:3 | 2.667 | ||||||
15\169 | 106.509 | 1093.491 | 11:4 | 2.750 | ||||||
4\45 | 106.667 | 1093.333 | 3:1 | 3.000 | Hard 11L 12s | |||||
13\146 | 106.849 | 1093.151 | 10:3 | 3.333 | ||||||
9\101 | 106.931 | 1093.069 | 7:2 | 3.500 | ||||||
14\157 | 107.006 | 1092.994 | 11:3 | 3.667 | ||||||
5\56 | 107.143 | 1092.857 | 4:1 | 4.000 | Superhard 11L 12s | |||||
11\123 | 107.317 | 1092.683 | 9:2 | 4.500 | ||||||
6\67 | 107.463 | 1092.537 | 5:1 | 5.000 | ||||||
7\78 | 107.692 | 1092.308 | 6:1 | 6.000 | ||||||
1\11 | 109.091 | 1090.909 | 1:0 | → ∞ | Collapsed 11L 12s |
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