2L 11s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsssssLssssss
ssssssLsssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
6\13 to 1\2 (553.8¢ to 600.0¢)
Dark
1\2 to 7\13 (600.0¢ to 646.2¢)
TAMNAMS information
Descends from
2L 7s (balzano)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
2L 9s
Sister
11L 2s
Daughters
13L 2s, 2L 13s
Neutralized
4L 9s
2-Flought
15L 11s, 2L 24s
Equal tunings
Equalized (L:s = 1:1)
6\13 (553.8¢)
Supersoft (L:s = 4:3)
19\41 (556.1¢)
Soft (L:s = 3:2)
13\28 (557.1¢)
Semisoft (L:s = 5:3)
20\43 (558.1¢)
Basic (L:s = 2:1)
7\15 (560.0¢)
Semihard (L:s = 5:2)
15\32 (562.5¢)
Hard (L:s = 3:1)
8\17 (564.7¢)
Superhard (L:s = 4:1)
9\19 (568.4¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖ 1L 10s | ↑ 2L 10s | 3L 10s ↗ |
| ← 1L 11s | 2L 11s | 3L 11s → |
| ↙ 1L 12s | ↓ 2L 12s | 3L 12s ↘ |
┌╥┬┬┬┬┬╥┬┬┬┬┬┬┐ │║│││││║│││││││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssLsssssL
2L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 11 small steps, repeating every octave. 2L 11s is a grandchild scale of 2L 7s, expanding it by 4 tones. Generators that produce this scale range from 553.8¢ to 600¢, or from 600¢ to 646.2¢.
This MOS is the minimal truly chromatic scale [clarification needed ] of Liese, Triton and Tritonic temperaments.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 12|0 | 1 | LsssssLssssss |
| 11|1 | 7 | LssssssLsssss |
| 10|2 | 13 | sLsssssLsssss |
| 9|3 | 6 | sLssssssLssss |
| 8|4 | 12 | ssLsssssLssss |
| 7|5 | 5 | ssLssssssLsss |
| 6|6 | 11 | sssLsssssLsss |
| 5|7 | 4 | sssLssssssLss |
| 4|8 | 10 | ssssLsssssLss |
| 3|9 | 3 | ssssLssssssLs |
| 2|10 | 9 | sssssLsssssLs |
| 1|11 | 2 | sssssLssssssL |
| 0|12 | 8 | ssssssLsssssL |
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 92.3¢ |
| Major 1-mosstep | M1ms | L | 92.3¢ to 600.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 184.6¢ |
| Major 2-mosstep | M2ms | L + s | 184.6¢ to 600.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 276.9¢ |
| Major 3-mosstep | M3ms | L + 2s | 276.9¢ to 600.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0¢ to 369.2¢ |
| Major 4-mosstep | M4ms | L + 3s | 369.2¢ to 600.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 5s | 0.0¢ to 461.5¢ |
| Major 5-mosstep | M5ms | L + 4s | 461.5¢ to 600.0¢ | |
| 6-mosstep | Diminished 6-mosstep | d6ms | 6s | 0.0¢ to 553.8¢ |
| Perfect 6-mosstep | P6ms | L + 5s | 553.8¢ to 600.0¢ | |
| 7-mosstep | Perfect 7-mosstep | P7ms | L + 6s | 600.0¢ to 646.2¢ |
| Augmented 7-mosstep | A7ms | 2L + 5s | 646.2¢ to 1200.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | L + 7s | 600.0¢ to 738.5¢ |
| Major 8-mosstep | M8ms | 2L + 6s | 738.5¢ to 1200.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | L + 8s | 600.0¢ to 830.8¢ |
| Major 9-mosstep | M9ms | 2L + 7s | 830.8¢ to 1200.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | L + 9s | 600.0¢ to 923.1¢ |
| Major 10-mosstep | M10ms | 2L + 8s | 923.1¢ to 1200.0¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | L + 10s | 600.0¢ to 1015.4¢ |
| Major 11-mosstep | M11ms | 2L + 9s | 1015.4¢ to 1200.0¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | L + 11s | 600.0¢ to 1107.7¢ |
| Major 12-mosstep | M12ms | 2L + 10s | 1107.7¢ to 1200.0¢ | |
| 13-mosstep | Perfect 13-mosstep | P13ms | 2L + 11s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 6\13 | 553.846 | 646.154 | 1:1 | 1.000 | Equalized 2L 11s | |||||
| 31\67 | 555.224 | 644.776 | 6:5 | 1.200 | ||||||
| 25\54 | 555.556 | 644.444 | 5:4 | 1.250 | ||||||
| 44\95 | 555.789 | 644.211 | 9:7 | 1.286 | ||||||
| 19\41 | 556.098 | 643.902 | 4:3 | 1.333 | Supersoft 2L 11s | |||||
| 51\110 | 556.364 | 643.636 | 11:8 | 1.375 | ||||||
| 32\69 | 556.522 | 643.478 | 7:5 | 1.400 | ||||||
| 45\97 | 556.701 | 643.299 | 10:7 | 1.429 | ||||||
| 13\28 | 557.143 | 642.857 | 3:2 | 1.500 | Soft 2L 11s | |||||
| 46\99 | 557.576 | 642.424 | 11:7 | 1.571 | ||||||
| 33\71 | 557.746 | 642.254 | 8:5 | 1.600 | ||||||
| 53\114 | 557.895 | 642.105 | 13:8 | 1.625 | ||||||
| 20\43 | 558.140 | 641.860 | 5:3 | 1.667 | Semisoft 2L 11s | |||||
| 47\101 | 558.416 | 641.584 | 12:7 | 1.714 | ||||||
| 27\58 | 558.621 | 641.379 | 7:4 | 1.750 | ||||||
| 34\73 | 558.904 | 641.096 | 9:5 | 1.800 | ||||||
| 7\15 | 560.000 | 640.000 | 2:1 | 2.000 | Basic 2L 11s Scales with tunings softer than this are proper | |||||
| 29\62 | 561.290 | 638.710 | 9:4 | 2.250 | ||||||
| 22\47 | 561.702 | 638.298 | 7:3 | 2.333 | ||||||
| 37\79 | 562.025 | 637.975 | 12:5 | 2.400 | ||||||
| 15\32 | 562.500 | 637.500 | 5:2 | 2.500 | Semihard 2L 11s | |||||
| 38\81 | 562.963 | 637.037 | 13:5 | 2.600 | ||||||
| 23\49 | 563.265 | 636.735 | 8:3 | 2.667 | ||||||
| 31\66 | 563.636 | 636.364 | 11:4 | 2.750 | ||||||
| 8\17 | 564.706 | 635.294 | 3:1 | 3.000 | Hard 2L 11s | |||||
| 25\53 | 566.038 | 633.962 | 10:3 | 3.333 | ||||||
| 17\36 | 566.667 | 633.333 | 7:2 | 3.500 | ||||||
| 26\55 | 567.273 | 632.727 | 11:3 | 3.667 | ||||||
| 9\19 | 568.421 | 631.579 | 4:1 | 4.000 | Superhard 2L 11s | |||||
| 19\40 | 570.000 | 630.000 | 9:2 | 4.500 | ||||||
| 10\21 | 571.429 | 628.571 | 5:1 | 5.000 | ||||||
| 11\23 | 573.913 | 626.087 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 600.000 | 1:0 | → ∞ | Collapsed 2L 11s | |||||