4L 6s (5/1-equivalent)

↖ 3L 5s⟨5/1⟩	↑ 4L 5s⟨5/1⟩	5L 5s⟨5/1⟩ ↗
← 3L 6s⟨5/1⟩	4L 6s (5/1-equivalent)	5L 6s⟨5/1⟩ →
↙ 3L 7s⟨5/1⟩	↓ 4L 7s⟨5/1⟩	5L 7s⟨5/1⟩ ↘

Scale structure
Step pattern	LsLssLsLss ssLsLssLsL
Equave	5/1 (2786.3 ¢)
Period	1\2 (1393.2 ¢)
Generator size(ed5/1)
Bright	2\10 to 1\4 (557.3 ¢ to 696.6 ¢)
Dark	1\4 to 3\10 (696.6 ¢ to 835.9 ¢)
Related MOS scales
Parent	4L 2s⟨5/1⟩
Sister	6L 4s⟨5/1⟩
Daughters	10L 4s⟨5/1⟩, 4L 10s⟨5/1⟩
Neutralized	8L 2s⟨5/1⟩
2-Flought	14L 6s⟨5/1⟩, 4L 16s⟨5/1⟩
Equal tunings(ed5/1)
Equalized (L:s = 1:1)	2\10 (557.3 ¢)
Supersoft (L:s = 4:3)	7\34 (573.7 ¢)
Soft (L:s = 3:2)	5\24 (580.5 ¢)
Semisoft (L:s = 5:3)	8\38 (586.6 ¢)
Basic (L:s = 2:1)	3\14 (597.1 ¢)
Semihard (L:s = 5:2)	7\32 (609.5 ¢)
Hard (L:s = 3:1)	4\18 (619.2 ¢)
Superhard (L:s = 4:1)	5\22 (633.3 ¢)
Collapsed (L:s = 1:0)	1\4 (696.6 ¢)
View • Talk • Edit

4L 6s⟨5/1⟩ is a 5/1-equivalent (non-octave) moment of symmetry scale containing 4 large steps and 6 small steps, with a period of 2 large steps and 3 small steps that repeats every 1393.2 ¢, or twice every interval of 5/1 (2786.3 ¢). Generators that produce this scale range from 557.3 ¢ to 696.6 ¢, or from 696.6 ¢ to 835.9 ¢.

Theory

The primary temperament interpretation of this scale is as the decatonic scale of the no-twos-or-threes (5.7.11) temperament juggernaut, in which the generator is 7/5 and the half-pentave period is 11/5. This is a very good and low-badness temperament on the 5.7.11 subgroup, although it suffers from a somewhat high error because of the smeary 11/5 at 1393 cents. It can be viewed as a "juggernaut diatonic" since the basic tuning of 14ed5 is the simplest acceptable juggernaut tuning, analogous to 12edo.