3L 11s
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Scale structure
Step pattern
LsssLssssLssss
ssssLssssLsssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
9\14 to 2\3 (771.4¢ to 800.0¢)
Dark
1\3 to 5\14 (400.0¢ to 428.6¢)
TAMNAMS information
Descends from
3L 5s (checkertonic)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
3L 8s
Sister
11L 3s
Daughters
14L 3s
3L 14s
Equal tunings
Equalized (L:s = 1:1)
9\14 (771.4¢)
Supersoft (L:s = 4:3)
29\45 (773.3¢)
Soft (L:s = 3:2)
20\31 (774.2¢)
Semisoft (L:s = 5:3)
31\48 (775.0¢)
Basic (L:s = 2:1)
11\17 (776.5¢)
Semihard (L:s = 5:2)
24\37 (778.4¢)
Hard (L:s = 3:1)
13\20 (780.0¢)
Superhard (L:s = 4:1)
15\23 (782.6¢)
Collapsed (L:s = 1:0)
2\3 (800.0¢)
Todo: review
Adopt scale tree template, review entries
| ↖2L 10s | ↑3L 10s | 4L 10s↗ |
| ←2L 11s | 3L 11s | 4L 11s→ |
| ↙2L 12s | ↓3L 12s | 4L 12s↘ |
┌╥┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║│││║││││║│││││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssLssssLsssL
3L 14s
3L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 11 small steps, repeating every octave. 3L 11s is a grandchild scale of 3L 5s, expanding it by 6 tones. Generators that produce this scale range from 771.4¢ to 800¢, or from 400¢ to 428.6¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 13|0 | 1 | LsssLssssLssss |
| 12|1 | 10 | LssssLsssLssss |
| 11|2 | 5 | LssssLssssLsss |
| 10|3 | 14 | sLsssLssssLsss |
| 9|4 | 9 | sLssssLsssLsss |
| 8|5 | 4 | sLssssLssssLss |
| 7|6 | 13 | ssLsssLssssLss |
| 6|7 | 8 | ssLssssLsssLss |
| 5|8 | 3 | ssLssssLssssLs |
| 4|9 | 12 | sssLsssLssssLs |
| 3|10 | 7 | sssLssssLsssLs |
| 2|11 | 2 | sssLssssLssssL |
| 1|12 | 11 | ssssLsssLssssL |
| 0|13 | 6 | ssssLssssLsssL |
Tuning spectrum
| generator | L | s | L/s | gen (cents) | comment | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1\3 | 1 | 0 | 400.000 | |||||||||
| 12\35 | 8 | 1 | 8.000 | 411.429 | ||||||||
| 11\32 | 7 | 1 | 7.000 | 412.500 | ||||||||
| 10\29 | 6 | 1 | 6.000 | 413.793 | ||||||||
| 19\55 | 11 | 2 | 5.500 | 414.545 | ||||||||
| 9\26 | 5 | 1 | 5.000 | 415.385 | ||||||||
| 26\75 | 14 | 3 | 4.667 | 416.000 | ||||||||
| 17\49 | 9 | 2 | 4.500 | 416.327 | ||||||||
| 25\72 | 13 | 3 | 4.333 | 416.667 | Sqrtphi is around here | |||||||
| 8\23 | 4 | 1 | 4.000 | 417.391 | ||||||||
| 31\89 | 15 | 4 | 3.750 | 417.978 | ||||||||
| 23\66 | 11 | 3 | 3.667 | 418.182 | ||||||||
| 15\43 | 7 | 2 | 3.500 | 418.605 | ||||||||
| 22\63 | 10 | 3 | 3.333 | 419.048 | ||||||||
| 29\83 | 13 | 4 | 3.250 | 419.277 | ||||||||
| 7\20 | 3 | 1 | 3.000 | 420.000 | ||||||||
| 34\97 | 14 | 5 | 2.800 | 420.619 | ||||||||
| 27\77 | 11 | 4 | 2.750 | 420.779 | Symbolic is around here | |||||||
| 20\57 | 8 | 3 | 2.667 | 421.053 | ||||||||
| 33\94 | 13 | 5 | 2.600 | 421.277 | ||||||||
| 13\37 | 5 | 2 | 2.500 | 421.622 | ||||||||
| 32\91 | 12 | 5 | 2.400 | 421.978 | ||||||||
| 19\54 | 7 | 3 | 2.333 | 422.222 | ||||||||
| 25\71 | 9 | 4 | 2.250 | 422.535 | ||||||||
| 31\88 | 11 | 5 | 2.200 | 422.727 | ||||||||
| 6\17 | 2 | 1 | 2.000 | 423.529 | ||||||||
| 35\99 | 11 | 6 | 1.833 | 424.242 | ||||||||
| 29\82 | 9 | 5 | 1.800 | 424.390 | ||||||||
| 23\65 | 7 | 4 | 1.750 | 424.615 | ||||||||
| 17\48 | 5 | 3 | 1.667 | 425.000 | ||||||||
| 28\79 | 8 | 5 | 1.600 | 425.316 | ||||||||
| 11\31 | 3 | 2 | 1.500 | 425.806 | Squares and Sentinel are around here | |||||||
| 27\76 | 7 | 5 | 1.400 | 426.316 | ||||||||
| 16\45 | 4 | 3 | 1.333 | 426.667 | ||||||||
| 21\59 | 5 | 4 | 1.250 | 427.119 | ||||||||
| 26\73 | 6 | 5 | 1.200 | 427.397 | ||||||||
| 31\87 | 7 | 6 | 1.167 | 427.586 | ||||||||
| 36\101 | 8 | 7 | 1.143 | 427.723 | ||||||||
| 5\14 | 1 | 1 | 1.000 | 428.571 | ||||||||