3L 7s (3/1-equivalent)

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3L 7s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 3 large steps and 7 small steps, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 570.6 ¢ to 634 ¢, or from 1268 ¢ to 1331.4 ¢. It is the decatonic scale of the 7/5-generated Canopus temperament, one of the most notable no-twos temperaments after Bohlen-Pierce-Stearns. Basic 3L 7s〈3/1〉 is in 13edt (Bohlen-Pierce).

↖ 2L 6s⟨3/1⟩ ↑ 3L 6s⟨3/1⟩ 4L 6s⟨3/1⟩ ↗
← 2L 7s⟨3/1⟩ 3L 7s (3/1-equivalent) 4L 7s⟨3/1⟩ →
↙ 2L 8s⟨3/1⟩ ↓ 3L 8s⟨3/1⟩ 4L 8s⟨3/1⟩ ↘
Scale structure
Step pattern LssLssLsss
sssLssLssL
Equave 3/1 (1902.0 ¢)
Period 3/1 (1902.0 ¢)
Generator size(edt)
Bright 3\10 to 1\3 (570.6 ¢ to 634.0 ¢)
Dark 2\3 to 7\10 (1268.0 ¢ to 1331.4 ¢)
Related MOS scales
Parent 3L 4s⟨3/1⟩
Sister 7L 3s⟨3/1⟩
Daughters 10L 3s⟨3/1⟩, 3L 10s⟨3/1⟩
Neutralized 6L 4s⟨3/1⟩
2-Flought 13L 7s⟨3/1⟩, 3L 17s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 3\10 (570.6 ¢)
Supersoft (L:s = 4:3) 10\33 (576.4 ¢)
Soft (L:s = 3:2) 7\23 (578.9 ¢)
Semisoft (L:s = 5:3) 11\36 (581.2 ¢)
Basic (L:s = 2:1) 4\13 (585.2 ¢)
Semihard (L:s = 5:2) 9\29 (590.3 ¢)
Hard (L:s = 3:1) 5\16 (594.4 ¢)
Superhard (L:s = 4:1) 6\19 (600.6 ¢)
Collapsed (L:s = 1:0) 1\3 (634.0 ¢)
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