4L 3s (3/1-equivalent)
| ↖ 3L 2s⟨3/1⟩ | ↑ 4L 2s⟨3/1⟩ | 5L 2s⟨3/1⟩ ↗ |
| ← 3L 3s⟨3/1⟩ | 4L 3s (3/1-equivalent) | 5L 3s⟨3/1⟩ → |
| ↙ 3L 4s⟨3/1⟩ | ↓ 4L 4s⟨3/1⟩ | 5L 4s⟨3/1⟩ ↘ |
┌╥╥┬╥┬╥┬┐ │║║│║│║││ │││││││││ └┴┴┴┴┴┴┴┘
sLsLsLL
4L 3s⟨3/1⟩, also called electric, is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 4 large steps and 3 small steps, repeating every interval of 3/1 (1902.0¢). Generators that produce this scale range from 1358.5¢ to 1426.5¢, or from 475.5¢ to 543.4¢.
Temperaments
4L 3s<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 4L 3s<3/1> can be viewed as the analogue to the diatonic scale. If twos are admitted, the hard end of the Electra heptatonic spectrum can be viewed as the subharmonic version of Pythagorean/Classical tuning.
Modes
| Mode | UDP | Name |
|---|---|---|
| LLsLsLs | 6|0 | |
| LsLLsLs | 5|1 | |
| LsLsLLs | 4|2 | |
| LsLsLsL | 3|3 | |
| sLLsLsL | 2|4 | |
| sLsLLsL | 1|5 | |
| sLsLsLL | 0|6 |
Scales
| Generator (chroma-positive) | Cents (chroma-positive) | Cents (chroma-negative) | L | s | L/s | Comments |
|---|---|---|---|---|---|---|
| 5\7edt | 1358.539 | 543.416 | 1 | 1 | 1.0000 | |
| 23\32edt | 1367.03 | 534.925 | 5 | 4 | 1.2500 | |
| 18\25edt | 1369.41 | 532.55 | 4 | 3 | 1.3333 | Electra is in this region |
| 13\18edt | 1373.634 | 528.321 | 3 | 2 | 1.5000 | |
| 21\29edt | 1377.2778 | 524.6772 | 5 | 3 | 1.6667 | |
| 8\11edt | 1383.2 | 518.7 | 2 | 1 | 2.0000 | Basic electric (generators smaller than this are proper) |
| 19\26edt | 1389.9 | 512.1 | 5 | 2 | 2.5000 | |
| 11\15edt | 1394.767 | 507.188 | 3 | 1 | 3.0000 | |
| 14\19edt | 1401.441 | 500.514 | 4 | 1 | 4.0000 | |
| 17\23edt | 1405.7928 | 496.1622 | 5 | 1 | 5.0000 | |
| 3\4edt | 1426.4663 | 475.4888 | 1 | 0 | -> inf |