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)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
4L 7s
Sister
11L 4s
Daughters
15L 4s, 4L 15s
Neutralized
8L 7s
2-Flought
19L 11s, 4L 26s
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 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.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 14|0 | 1 | LssLsssLsssLsss |
| 13|1 | 12 | LsssLssLsssLsss |
| 12|2 | 8 | LsssLsssLssLsss |
| 11|3 | 4 | LsssLsssLsssLss |
| 10|4 | 15 | sLssLsssLsssLss |
| 9|5 | 11 | sLsssLssLsssLss |
| 8|6 | 7 | sLsssLsssLssLss |
| 7|7 | 3 | sLsssLsssLsssLs |
| 6|8 | 14 | ssLssLsssLsssLs |
| 5|9 | 10 | ssLsssLssLsssLs |
| 4|10 | 6 | ssLsssLsssLssLs |
| 3|11 | 2 | ssLsssLsssLsssL |
| 2|12 | 13 | sssLssLsssLsssL |
| 1|13 | 9 | sssLsssLssLsssL |
| 0|14 | 5 | sssLsssLsssLssL |
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 80.0¢ |
| Major 1-mosstep | M1ms | L | 80.0¢ to 300.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 160.0¢ |
| Major 2-mosstep | M2ms | L + s | 160.0¢ to 300.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 240.0¢ |
| Major 3-mosstep | M3ms | L + 2s | 240.0¢ to 300.0¢ | |
| 4-mosstep | Perfect 4-mosstep | P4ms | L + 3s | 300.0¢ to 320.0¢ |
| Augmented 4-mosstep | A4ms | 2L + 2s | 320.0¢ to 600.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | L + 4s | 300.0¢ to 400.0¢ |
| Major 5-mosstep | M5ms | 2L + 3s | 400.0¢ to 600.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | L + 5s | 300.0¢ to 480.0¢ |
| Major 6-mosstep | M6ms | 2L + 4s | 480.0¢ to 600.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | L + 6s | 300.0¢ to 560.0¢ |
| Major 7-mosstep | M7ms | 2L + 5s | 560.0¢ to 600.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 2L + 6s | 600.0¢ to 640.0¢ |
| Major 8-mosstep | M8ms | 3L + 5s | 640.0¢ to 900.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 2L + 7s | 600.0¢ to 720.0¢ |
| Major 9-mosstep | M9ms | 3L + 6s | 720.0¢ to 900.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 2L + 8s | 600.0¢ to 800.0¢ |
| Major 10-mosstep | M10ms | 3L + 7s | 800.0¢ to 900.0¢ | |
| 11-mosstep | Diminished 11-mosstep | d11ms | 2L + 9s | 600.0¢ to 880.0¢ |
| Perfect 11-mosstep | P11ms | 3L + 8s | 880.0¢ to 900.0¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 3L + 9s | 900.0¢ to 960.0¢ |
| Major 12-mosstep | M12ms | 4L + 8s | 960.0¢ to 1200.0¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 3L + 10s | 900.0¢ to 1040.0¢ |
| Major 13-mosstep | M13ms | 4L + 9s | 1040.0¢ to 1200.0¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 3L + 11s | 900.0¢ to 1120.0¢ |
| Major 14-mosstep | M14ms | 4L + 10s | 1120.0¢ to 1200.0¢ | |
| 15-mosstep | Perfect 15-mosstep | P15ms | 4L + 11s | 1200.0¢ |
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 | ||||||