4L 3s (3/1-equivalent)

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4L 3s<3/1> (or electric) refers to a tritave-repeating MOS scale with four large steps and three small steps. It is generated by any interval between 1\4edt and 2\7edt.

↖ 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⟩ ↘
Scale structure
Step pattern LLsLsLs
sLsLsLL
Equave 3/1 (1902.0 ¢)
Period 3/1 (1902.0 ¢)
Generator size(edt)
Bright 5\7 to 3\4 (1358.5 ¢ to 1426.5 ¢)
Dark 1\4 to 2\7 (475.5 ¢ to 543.4 ¢)
Related MOS scales
Parent 3L 1s⟨3/1⟩
Sister 3L 4s⟨3/1⟩
Daughters 7L 4s⟨3/1⟩, 4L 7s⟨3/1⟩
Neutralized 1L 6s⟨3/1⟩
2-Flought 11L 3s⟨3/1⟩, 4L 10s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 5\7 (1358.5 ¢)
Supersoft (L:s = 4:3) 18\25 (1369.4 ¢)
Soft (L:s = 3:2) 13\18 (1373.6 ¢)
Semisoft (L:s = 5:3) 21\29 (1377.3 ¢)
Basic (L:s = 2:1) 8\11 (1383.2 ¢)
Semihard (L:s = 5:2) 19\26 (1389.9 ¢)
Hard (L:s = 3:1) 11\15 (1394.8 ¢)
Superhard (L:s = 4:1) 14\19 (1401.4 ¢)
Collapsed (L:s = 1:0) 3\4 (1426.5 ¢)
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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.

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 1.000
18\25edt 1369.41 532.55 4 3 1.333 Electra is in this region
13\18edt 1373.634 528.321 3 2 1.500
21\29edt 1377.2778 524.6772 5 3 1.667
8\11edt 1383.2 518.7 2 1 2.000 Basic electric (generators smaller than this are proper)
19\26edt 1389.9 512.1 5 2 2.500
11\15edt 1394.767 507.188 3 1 3.000
14\19edt 1401.441 500.514 4 1 4.000
17\23edt 1405.7928 496.1622 5 1 5.000
3\4edt 1426.4663 475.4888 1 0 -> inf