7L 4s (3/1-equivalent)
↖ 6L 3s⟨3/1⟩ | ↑ 7L 3s⟨3/1⟩ | 8L 3s⟨3/1⟩ ↗ |
← 6L 4s⟨3/1⟩ | 7L 4s (3/1-equivalent) | 8L 4s⟨3/1⟩ → |
↙ 6L 5s⟨3/1⟩ | ↓ 7L 5s⟨3/1⟩ | 8L 5s⟨3/1⟩ ↘ |
┌╥╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLsLLsLLsLL
Generator size(edt)
Related MOS scales
Equal tunings(edt)
7L 4s<3/1> (or superelectric) refers to a tritave-repeating MOS scale with seven large steps and four small steps. It is generated by any interval between 3\11edt and 2\7edt.
Temperaments
7L 4s<3/1> MOS scales can be used for the Electra temperament, in which three generators down is approximately 13/11 and one generator up is approximately 15/11. If 11:13:15 is treated as the fundamental sonority of no-2's music, then Electra can be viewed as the analogue to meantone and 7L 4s<3/1> can be viewed as the analogue to the meantone chromatic scale.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
10|0 | 1 | LLsLLsLLsLs |
9|1 | 4 | LLsLLsLsLLs |
8|2 | 7 | LLsLsLLsLLs |
7|3 | 10 | LsLLsLLsLLs |
6|4 | 2 | LsLLsLLsLsL |
5|5 | 5 | LsLLsLsLLsL |
4|6 | 8 | LsLsLLsLLsL |
3|7 | 11 | sLLsLLsLLsL |
2|8 | 3 | sLLsLLsLsLL |
1|9 | 6 | sLLsLsLLsLL |
0|10 | 9 | sLsLLsLLsLL |
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 172.9 ¢ |
Major 1-mosstep | M1ms | L | 172.9 ¢ to 271.7 ¢ | |
2-mosstep | Minor 2-mosstep | m2ms | L + s | 271.7 ¢ to 345.8 ¢ |
Major 2-mosstep | M2ms | 2L | 345.8 ¢ to 543.4 ¢ | |
3-mosstep | Diminished 3-mosstep | d3ms | L + 2s | 271.7 ¢ to 518.7 ¢ |
Perfect 3-mosstep | P3ms | 2L + s | 518.7 ¢ to 543.4 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 543.4 ¢ to 691.6 ¢ |
Major 4-mosstep | M4ms | 3L + s | 691.6 ¢ to 815.1 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 815.1 ¢ to 864.5 ¢ |
Major 5-mosstep | M5ms | 4L + s | 864.5 ¢ to 1086.8 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 815.1 ¢ to 1037.4 ¢ |
Major 6-mosstep | M6ms | 4L + 2s | 1037.4 ¢ to 1086.8 ¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 4L + 3s | 1086.8 ¢ to 1210.3 ¢ |
Major 7-mosstep | M7ms | 5L + 2s | 1210.3 ¢ to 1358.5 ¢ | |
8-mosstep | Perfect 8-mosstep | P8ms | 5L + 3s | 1358.5 ¢ to 1383.2 ¢ |
Augmented 8-mosstep | A8ms | 6L + 2s | 1383.2 ¢ to 1630.2 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 5L + 4s | 1358.5 ¢ to 1556.1 ¢ |
Major 9-mosstep | M9ms | 6L + 3s | 1556.1 ¢ to 1630.2 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 6L + 4s | 1630.2 ¢ to 1729.1 ¢ |
Major 10-mosstep | M10ms | 7L + 3s | 1729.1 ¢ to 1902.0 ¢ | |
11-mosstep | Perfect 11-mosstep | P11ms | 7L + 4s | 1902.0 ¢ |