11L 4s
| ↖ 10L 3s | ↑ 11L 3s | 12L 3s ↗ |
| ← 10L 4s | 11L 4s | 12L 4s → |
| ↙ 10L 5s | ↓ 11L 5s | 12L 5s ↘ |
┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║║│║║││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLsLLLsLLLsLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
11L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 4 small steps, repeating every octave. 11L 4s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 320 ¢ to 327.3 ¢, or from 872.7 ¢ to 880 ¢. The bright generator represents a minor third slightly sharp of 6/5 (315.6¢), though this MOS is most reasonably interpreted in the 2.7.11 orgone temperament where it is identified as ~77/64. At its harmonic entropy minimum, the octave-reduced 7th harmonic (about 968¢) equals 3 of these generators.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 14|0 | 1 | LLLsLLLsLLLsLLs |
| 13|1 | 5 | LLLsLLLsLLsLLLs |
| 12|2 | 9 | LLLsLLsLLLsLLLs |
| 11|3 | 13 | LLsLLLsLLLsLLLs |
| 10|4 | 2 | LLsLLLsLLLsLLsL |
| 9|5 | 6 | LLsLLLsLLsLLLsL |
| 8|6 | 10 | LLsLLsLLLsLLLsL |
| 7|7 | 14 | LsLLLsLLLsLLLsL |
| 6|8 | 3 | LsLLLsLLLsLLsLL |
| 5|9 | 7 | LsLLLsLLsLLLsLL |
| 4|10 | 11 | LsLLsLLLsLLLsLL |
| 3|11 | 15 | sLLLsLLLsLLLsLL |
| 2|12 | 4 | sLLLsLLLsLLsLLL |
| 1|13 | 8 | sLLLsLLsLLLsLLL |
| 0|14 | 12 | sLLsLLLsLLLsLLL |
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 109.1 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 109.1 ¢ to 160.0 ¢ |
| Major 2-mosstep | M2ms | 2L | 160.0 ¢ to 218.2 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 218.2 ¢ to 240.0 ¢ |
| Major 3-mosstep | M3ms | 3L | 240.0 ¢ to 327.3 ¢ | |
| 4-mosstep | Diminished 4-mosstep | d4ms | 2L + 2s | 218.2 ¢ to 320.0 ¢ |
| Perfect 4-mosstep | P4ms | 3L + s | 320.0 ¢ to 327.3 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 327.3 ¢ to 400.0 ¢ |
| Major 5-mosstep | M5ms | 4L + s | 400.0 ¢ to 436.4 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 436.4 ¢ to 480.0 ¢ |
| Major 6-mosstep | M6ms | 5L + s | 480.0 ¢ to 545.5 ¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 5L + 2s | 545.5 ¢ to 560.0 ¢ |
| Major 7-mosstep | M7ms | 6L + s | 560.0 ¢ to 654.5 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 5L + 3s | 545.5 ¢ to 640.0 ¢ |
| Major 8-mosstep | M8ms | 6L + 2s | 640.0 ¢ to 654.5 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 6L + 3s | 654.5 ¢ to 720.0 ¢ |
| Major 9-mosstep | M9ms | 7L + 2s | 720.0 ¢ to 763.6 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 763.6 ¢ to 800.0 ¢ |
| Major 10-mosstep | M10ms | 8L + 2s | 800.0 ¢ to 872.7 ¢ | |
| 11-mosstep | Perfect 11-mosstep | P11ms | 8L + 3s | 872.7 ¢ to 880.0 ¢ |
| Augmented 11-mosstep | A11ms | 9L + 2s | 880.0 ¢ to 981.8 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 8L + 4s | 872.7 ¢ to 960.0 ¢ |
| Major 12-mosstep | M12ms | 9L + 3s | 960.0 ¢ to 981.8 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 9L + 4s | 981.8 ¢ to 1040.0 ¢ |
| Major 13-mosstep | M13ms | 10L + 3s | 1040.0 ¢ to 1090.9 ¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 10L + 4s | 1090.9 ¢ to 1120.0 ¢ |
| Major 14-mosstep | M14ms | 11L + 3s | 1120.0 ¢ to 1200.0 ¢ | |
| 15-mosstep | Perfect 15-mosstep | P15ms | 11L + 4s | 1200.0 ¢ |