2L 1s (3/2-equivalent)

←1L 1s⟨3/2⟩	2L 1s⟨3/2⟩	3L 1s⟨3/2⟩→
↙1L 2s⟨3/2⟩	↓2L 2s⟨3/2⟩	3L 2s⟨3/2⟩↘

Brightest mode	LLs
Period	3/2
Range for bright generator	1\3edf (234¢) to 1\2edf (351¢)
Range for dark generator	1\2edf (351¢) to 2\3edf (468¢)
Parent MOS	1L 1s⟨3/2⟩
Sister MOS	1L 2s⟨3/2⟩
Daughter MOSes	3L 2s⟨3/2⟩, 2L 3s⟨3/2⟩
Equal tunings
Supersoft (L:s = 4:3)	4\11edf (255.3¢)
Soft (L:s = 3:2)	3\8edf (263.2¢)
Semisoft (L:s = 5:3)	5\13edf (270¢)
Basic (L:s = 2:1)	2\5edf (280.8¢)
Semihard (L:s = 5:2)	5\12edf (292.5¢)
Hard (L:s = 3:1)	3\7edf (300.8¢)
Superhard (L:s = 4:1)	4\9edf (312¢)

2L 1s⟨3/2⟩ is a non-octave moment of symmetry scale containing 2 large steps and 1 small step, repeating every interval of 3/2 (701.955¢). Modes of this scale are rotations of the step pattern LLs. Generators that produce this scale range from 233.985¢ to 350.978¢, or from 350.978¢ to 467.97¢.

Intervals

Scale degree of 2L 1s⟨3/2⟩

Scale degree	5edf (Basic, L:s = 2:1)		Approx. JI Ratios
	Steps	Cents
Perfect 0-mosdegree (unison)	0	0	1/1 (exact)
Diminished 1-mosdegree	1	140.4
Perfect 1-mosdegree	2	280.8
Perfect 2-mosdegree	3	421.2
Augmented 2-mosdegree	4	561.6
Perfect 3-mosdegree (equave)	5	702	3/2 (exact)

Modes

Modes of 2L 1s⟨3/2⟩

UDP	Step pattern
2|0	LLs
1|1	LsL
0|2	sLL

Scale tree

Steps of ED	Generator in cents		Step ratio		Comments
	Bright	Dark	L:s	Hardness
1\3edf	233.985	467.97	1:1	1	Equalized 2L 1s⟨3/2⟩
6\17edf	247.749	454.206	6:5	1.2
5\14edf	250.698	451.257	5:4	1.25
9\25edf	252.704	449.251	9:7	1.286
4\11edf	255.256	446.699	4:3	1.333	Supersoft 2L 1s⟨3/2⟩
11\30edf	257.384	444.572	11:8	1.375
7\19edf	258.615	443.34	7:5	1.4
10\27edf	259.983	441.972	10:7	1.429
3\8edf	263.233	438.722	3:2	1.5	Soft 2L 1s⟨3/2⟩
11\29edf	266.259	435.696	11:7	1.571
8\21edf	267.411	434.544	8:5	1.6
13\34edf	268.395	433.56	13:8	1.625
5\13edf	269.983	431.972	5:3	1.667	Semisoft 2L 1s⟨3/2⟩
12\31edf	271.725	430.23	12:7	1.714
7\18edf	272.983	428.973	7:4	1.75
9\23edf	274.678	427.277	9:5	1.8
2\5edf	280.782	421.173	2:1	2	Basic 2L 1s⟨3/2⟩
9\22edf	287.163	414.792	9:4	2.25
7\17edf	289.04	412.915	7:3	2.333
12\29edf	290.464	411.491	12:5	2.4
5\12edf	292.481	409.474	5:2	2.5	Semihard 2L 1s⟨3/2⟩
13\31edf	294.368	407.587	13:5	2.6
8\19edf	295.56	406.395	8:3	2.667
11\26edf	296.981	404.974	11:4	2.75
3\7edf	300.838	401.117	3:1	3	Hard 2L 1s⟨3/2⟩
10\23edf	305.198	396.757	10:3	3.333
7\16edf	307.105	394.85	7:2	3.5
11\25edf	308.86	393.095	11:3	3.667
4\9edf	311.98	389.975	4:1	4	Superhard 2L 1s⟨3/2⟩
9\20edf	315.88	386.075	9:2	4.5
5\11edf	319.07	382.885	5:1	5
6\13edf	323.979	377.976	6:1	6
1\2edf	350.978	350.978	1:0	→ ∞	Collapsed 2L 1s⟨3/2⟩