4L 11s
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Scale structure
Step pattern
LssLsssLsssLsss
sssLsssLsssLssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
11\15 to 3\4 (880.0¢ to 900.0¢)
Dark
1\4 to 4\15 (300.0¢ to 320.0¢)
TAMNAMS information
Descends from
4L 3s (smitonic)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
4L 7s
Sister
11L 4s
Daughters
15L 4s
4L 15s
Equal tunings
Equalized (L:s = 1:1)
11\15 (880.0¢)
Supersoft (L:s = 4:3)
36\49 (881.6¢)
Soft (L:s = 3:2)
25\34 (882.4¢)
Semisoft (L:s = 5:3)
39\53 (883.0¢)
Basic (L:s = 2:1)
14\19 (884.2¢)
Semihard (L:s = 5:2)
31\42 (885.7¢)
Hard (L:s = 3:1)
17\23 (887.0¢)
Superhard (L:s = 4:1)
20\27 (888.9¢)
Collapsed (L:s = 1:0)
3\4 (900.0¢)
| ↖3L 10s | ↑4L 10s | 5L 10s↗ |
| ←3L 11s | 4L 11s | 5L 11s→ |
| ↙3L 12s | ↓4L 12s | 5L 12s↘ |
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║│││║││││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLsssLsssLssL
4L 15s
4L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 11 small steps, repeating every octave. 4L 11s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 880¢ to 900¢, or from 300¢ to 320¢.
Because myna temperament arrives at 3/2 by +10 generators, this is the lowest myna MOS which has multiple 3/2s.
Scales
Scale tree
| Generator | Cents | L | s | L/s | Comments | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Chroma-positive | Chroma-negative | ||||||||||
| 11\15 | 880.000 | 320.000 | 1 | 1 | 1.000 | ||||||
| 58\79 | 881.013 | 318.987 | 6 | 5 | 1.200 | ||||||
| 47\64 | 881.250 | 318.750 | 5 | 4 | 1.250 | ||||||
| 83\113 | 881.416 | 318.584 | 9 | 7 | 1.286 | ||||||
| 36\49 | 881.633 | 318.367 | 4 | 3 | 1.333 | Catalan | |||||
| 97\132 | 881.818 | 318.182 | 11 | 8 | 1.375 | ||||||
| 61\83 | 881.928 | 318.072 | 7 | 5 | 1.400 | ||||||
| 86\117 | 882.051 | 317.949 | 10 | 7 | 1.428 | ||||||
| 25\34 | 882.353 | 317.647 | 3 | 2 | 1.500 | L/s = 3/2 | |||||
| 89\121 | 882.645 | 317.355 | 11 | 7 | 1.571 | Metakleismic | |||||
| 64\87 | 882.759 | 317.241 | 8 | 5 | 1.600 | ||||||
| 103\140 | 882.857 | 317.143 | 13 | 8 | 1.625 | Countercata | |||||
| 39\53 | 883.019 | 316.981 | 5 | 3 | 1.667 | Hanson/cata | |||||
| 92\125 | 883.200 | 316.800 | 12 | 7 | 1.714 | Catakleismic | |||||
| 53\72 | 883.333 | 316.667 | 7 | 4 | 1.750 | ||||||
| 67\91 | 883.516 | 316.484 | 9 | 5 | 1.800 | ||||||
| 14\19 | 884.211 | 315.789 | 2 | 1 | 2.000 | Basic 4L 11s (Generators smaller than this are proper) | |||||
| 59\80 | 885.000 | 315.000 | 9 | 4 | 2.250 | Parakleismic | |||||
| 45\61 | 885.246 | 314.754 | 7 | 3 | 2.333 | ||||||
| 76\103 | 885.437 | 314.563 | 12 | 5 | 2.400 | ||||||
| 31\42 | 885.714 | 314.286 | 5 | 2 | 2.500 | ||||||
| 79\107 | 885.981 | 314.019 | 13 | 5 | 2.600 | ||||||
| 48\65 | 886.154 | 313.846 | 8 | 3 | 2.667 | ||||||
| 65\88 | 886.364 | 313.636 | 11 | 4 | 2.750 | ||||||
| 17\23 | 886.957 | 313.043 | 3 | 1 | 3.000 | L/s = 3/1 | |||||
| 54\73 | 887.671 | 312.329 | 10 | 3 | 3.333 | ||||||
| 37\50 | 888.000 | 312.000 | 7 | 2 | 3.500 | ||||||
| 57\77 | 888.312 | 311.688 | 11 | 3 | 3.667 | Oolong | |||||
| 20\27 | 888.889 | 311.111 | 4 | 1 | 4.000 | Starlingtet | |||||
| 43\58 | 889.655 | 310.345 | 9 | 2 | 4.500 | Myna | |||||
| 23\31 | 890.323 | 309.677 | 5 | 1 | 5.000 | ||||||
| 26\35 | 891.429 | 308.571 | 6 | 1 | 6.000 | ||||||
| 3\4 | 900.000 | 300.000 | 1 | 0 | → inf | ||||||