15L 4s
| ↖ 14L 3s | ↑ 15L 3s | 16L 3s ↗ |
| ← 14L 4s | 15L 4s | 16L 4s → |
| ↙ 14L 5s | ↓ 15L 5s | 16L 5s ↘ |
┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║║│║║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLLsLLLLsLLLLsLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
15L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 4 small steps, repeating every octave. 15L 4s is a great-grandchild scale of 4L 3s, expanding it by 12 tones. Generators that produce this scale range from 315.8 ¢ to 320 ¢, or from 880 ¢ to 884.2 ¢.
It is notable as the MOS scale of Kleismic[19].
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LLLLsLLLLsLLLLsLLLs |
| 17|1 | 6 | LLLLsLLLLsLLLsLLLLs |
| 16|2 | 11 | LLLLsLLLsLLLLsLLLLs |
| 15|3 | 16 | LLLsLLLLsLLLLsLLLLs |
| 14|4 | 2 | LLLsLLLLsLLLLsLLLsL |
| 13|5 | 7 | LLLsLLLLsLLLsLLLLsL |
| 12|6 | 12 | LLLsLLLsLLLLsLLLLsL |
| 11|7 | 17 | LLsLLLLsLLLLsLLLLsL |
| 10|8 | 3 | LLsLLLLsLLLLsLLLsLL |
| 9|9 | 8 | LLsLLLLsLLLsLLLLsLL |
| 8|10 | 13 | LLsLLLsLLLLsLLLLsLL |
| 7|11 | 18 | LsLLLLsLLLLsLLLLsLL |
| 6|12 | 4 | LsLLLLsLLLLsLLLsLLL |
| 5|13 | 9 | LsLLLLsLLLsLLLLsLLL |
| 4|14 | 14 | LsLLLsLLLLsLLLLsLLL |
| 3|15 | 19 | sLLLLsLLLLsLLLLsLLL |
| 2|16 | 5 | sLLLLsLLLLsLLLsLLLL |
| 1|17 | 10 | sLLLLsLLLsLLLLsLLLL |
| 0|18 | 15 | sLLLsLLLLsLLLLsLLLL |
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 63.2 ¢ |
| Major 1-mosstep | M1ms | L | 63.2 ¢ to 80.0 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 80.0 ¢ to 126.3 ¢ |
| Major 2-mosstep | M2ms | 2L | 126.3 ¢ to 160.0 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 160.0 ¢ to 189.5 ¢ |
| Major 3-mosstep | M3ms | 3L | 189.5 ¢ to 240.0 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 3L + s | 240.0 ¢ to 252.6 ¢ |
| Major 4-mosstep | M4ms | 4L | 252.6 ¢ to 320.0 ¢ | |
| 5-mosstep | Diminished 5-mosstep | d5ms | 3L + 2s | 240.0 ¢ to 315.8 ¢ |
| Perfect 5-mosstep | P5ms | 4L + s | 315.8 ¢ to 320.0 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 320.0 ¢ to 378.9 ¢ |
| Major 6-mosstep | M6ms | 5L + s | 378.9 ¢ to 400.0 ¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 5L + 2s | 400.0 ¢ to 442.1 ¢ |
| Major 7-mosstep | M7ms | 6L + s | 442.1 ¢ to 480.0 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 6L + 2s | 480.0 ¢ to 505.3 ¢ |
| Major 8-mosstep | M8ms | 7L + s | 505.3 ¢ to 560.0 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 7L + 2s | 560.0 ¢ to 568.4 ¢ |
| Major 9-mosstep | M9ms | 8L + s | 568.4 ¢ to 640.0 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 560.0 ¢ to 631.6 ¢ |
| Major 10-mosstep | M10ms | 8L + 2s | 631.6 ¢ to 640.0 ¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 8L + 3s | 640.0 ¢ to 694.7 ¢ |
| Major 11-mosstep | M11ms | 9L + 2s | 694.7 ¢ to 720.0 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 9L + 3s | 720.0 ¢ to 757.9 ¢ |
| Major 12-mosstep | M12ms | 10L + 2s | 757.9 ¢ to 800.0 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 10L + 3s | 800.0 ¢ to 821.1 ¢ |
| Major 13-mosstep | M13ms | 11L + 2s | 821.1 ¢ to 880.0 ¢ | |
| 14-mosstep | Perfect 14-mosstep | P14ms | 11L + 3s | 880.0 ¢ to 884.2 ¢ |
| Augmented 14-mosstep | A14ms | 12L + 2s | 884.2 ¢ to 960.0 ¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 11L + 4s | 880.0 ¢ to 947.4 ¢ |
| Major 15-mosstep | M15ms | 12L + 3s | 947.4 ¢ to 960.0 ¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 12L + 4s | 960.0 ¢ to 1010.5 ¢ |
| Major 16-mosstep | M16ms | 13L + 3s | 1010.5 ¢ to 1040.0 ¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 13L + 4s | 1040.0 ¢ to 1073.7 ¢ |
| Major 17-mosstep | M17ms | 14L + 3s | 1073.7 ¢ to 1120.0 ¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 14L + 4s | 1120.0 ¢ to 1136.8 ¢ |
| Major 18-mosstep | M18ms | 15L + 3s | 1136.8 ¢ to 1200.0 ¢ | |
| 19-mosstep | Perfect 19-mosstep | P19ms | 15L + 4s | 1200.0 ¢ |
Scale tree
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