6L 5s
↖ 5L 4s | ↑ 6L 4s | 7L 4s ↗ |
← 5L 5s | 6L 5s | 7L 5s → |
↙ 5L 6s | ↓ 6L 6s | 7L 6s ↘ |
┌╥╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLsLsLsLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
6L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 5 small steps, repeating every octave. 6L 5s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 981.8 ¢ to 1000 ¢, or from 200 ¢ to 218.2 ¢.
This MOS has a harmonic entropy minimum (Baldy) which is highly improper (L=8 s=1) in an optimal tuning, However, its saving grace is that it at least has index 2 in syntonic temperaments with wide fifths like superpyth (2.3.7) and pentacircle (2.3.11/7.13/11)[clarification needed].
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
10|0 | 1 | LLsLsLsLsLs |
9|1 | 10 | LsLLsLsLsLs |
8|2 | 8 | LsLsLLsLsLs |
7|3 | 6 | LsLsLsLLsLs |
6|4 | 4 | LsLsLsLsLLs |
5|5 | 2 | LsLsLsLsLsL |
4|6 | 11 | sLLsLsLsLsL |
3|7 | 9 | sLsLLsLsLsL |
2|8 | 7 | sLsLsLLsLsL |
1|9 | 5 | sLsLsLsLLsL |
0|10 | 3 | sLsLsLsLsLL |
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 109.1 ¢ |
Major 1-mosstep | M1ms | L | 109.1 ¢ to 200.0 ¢ | |
2-mosstep | Perfect 2-mosstep | P2ms | L + s | 200.0 ¢ to 218.2 ¢ |
Augmented 2-mosstep | A2ms | 2L | 218.2 ¢ to 400.0 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 200.0 ¢ to 327.3 ¢ |
Major 3-mosstep | M3ms | 2L + s | 327.3 ¢ to 400.0 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 400.0 ¢ to 436.4 ¢ |
Major 4-mosstep | M4ms | 3L + s | 436.4 ¢ to 600.0 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 400.0 ¢ to 545.5 ¢ |
Major 5-mosstep | M5ms | 3L + 2s | 545.5 ¢ to 600.0 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 600.0 ¢ to 654.5 ¢ |
Major 6-mosstep | M6ms | 4L + 2s | 654.5 ¢ to 800.0 ¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 600.0 ¢ to 763.6 ¢ |
Major 7-mosstep | M7ms | 4L + 3s | 763.6 ¢ to 800.0 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 4L + 4s | 800.0 ¢ to 872.7 ¢ |
Major 8-mosstep | M8ms | 5L + 3s | 872.7 ¢ to 1000.0 ¢ | |
9-mosstep | Diminished 9-mosstep | d9ms | 4L + 5s | 800.0 ¢ to 981.8 ¢ |
Perfect 9-mosstep | P9ms | 5L + 4s | 981.8 ¢ to 1000.0 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 5L + 5s | 1000.0 ¢ to 1090.9 ¢ |
Major 10-mosstep | M10ms | 6L + 4s | 1090.9 ¢ to 1200.0 ¢ | |
11-mosstep | Perfect 11-mosstep | P11ms | 6L + 5s | 1200.0 ¢ |