2L 1s (3/2-equivalent)

2L 1s⟨3/2⟩ is a 3/2-equivalent (fifth-equivalent) moment of symmetry scale containing 2 large steps and 1 small step, repeating every interval of 3/2 (702.0 ¢). Generators that produce this scale range from 234 ¢ to 351 ¢, or from 351 ¢ to 468 ¢. Scales of this form are always proper because there is only one small step.

← 1L 1s⟨3/2⟩	2L 1s (3/2-equivalent)	3L 1s⟨3/2⟩ →
↙ 1L 2s⟨3/2⟩	↓ 2L 2s⟨3/2⟩	3L 2s⟨3/2⟩ ↘

Scale structure
Step pattern	LLs sLL
Equave	3/2 (702.0 ¢)
Period	3/2 (702.0 ¢)
Generator size(edf)
Bright	1\3 to 1\2 (234.0 ¢ to 351.0 ¢)
Dark	1\2 to 2\3 (351.0 ¢ to 468.0 ¢)
Related MOS scales
Parent	1L 1s⟨3/2⟩
Sister	1L 2s⟨3/2⟩
Daughters	3L 2s⟨3/2⟩, 2L 3s⟨3/2⟩
Neutralized	1L 2s⟨3/2⟩
2-Flought	5L 1s⟨3/2⟩, 2L 4s⟨3/2⟩
Equal tunings(edf)
Equalized (L:s = 1:1)	1\3 (234.0 ¢)
Supersoft (L:s = 4:3)	4\11 (255.3 ¢)
Soft (L:s = 3:2)	3\8 (263.2 ¢)
Semisoft (L:s = 5:3)	5\13 (270.0 ¢)
Basic (L:s = 2:1)	2\5 (280.8 ¢)
Semihard (L:s = 5:2)	5\12 (292.5 ¢)
Hard (L:s = 3:1)	3\7 (300.8 ¢)
Superhard (L:s = 4:1)	4\9 (312.0 ¢)
Collapsed (L:s = 1:0)	1\2 (351.0 ¢)
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Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 2L 1s⟨3/2⟩

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0 ¢ to 234.0 ¢
	Perfect 1-mosstep	P1ms	L	234.0 ¢ to 351.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	351.0 ¢ to 468.0 ¢
	Augmented 2-mosstep	A2ms	2L	468.0 ¢ to 702.0 ¢
3-mosstep	Perfect 3-mosstep	P3ms	2L + s	702.0 ¢

Generator chain

Generator chain of 2L 1s⟨3/2⟩

Bright gens	Scale degree	Abbrev.
4	Augmented 1-mosdegree	A1md
3	Augmented 0-mosdegree	A0md
2	Augmented 2-mosdegree	A2md
1	Perfect 1-mosdegree	P1md
0	Perfect 0-mosdegree Perfect 3-mosdegree	P0md P3md
−1	Perfect 2-mosdegree	P2md
−2	Diminished 1-mosdegree	d1md
−3	Diminished 3-mosdegree	d3md
−4	Diminished 2-mosdegree	d2md

Modes

Scale degrees of the modes of 2L 1s⟨3/2⟩

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3
2|0	1	LLs	Perf.	Perf.	Aug.	Perf.
1|1	2	LsL	Perf.	Perf.	Perf.	Perf.
0|2	3	sLL	Perf.	Dim.	Perf.	Perf.

Scale tree

Scale tree and tuning spectrum of 2L 1s⟨3/2⟩

Generator(edf)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\3						233.985	467.970	1:1	1.000	Equalized 2L 1s⟨3/2⟩
					6\17	247.749	454.206	6:5	1.200
				5\14		250.698	451.257	5:4	1.250
					9\25	252.704	449.251	9:7	1.286
			4\11			255.256	446.699	4:3	1.333	Supersoft 2L 1s⟨3/2⟩
					11\30	257.384	444.572	11:8	1.375
				7\19		258.615	443.340	7:5	1.400
					10\27	259.983	441.972	10:7	1.429
		3\8				263.233	438.722	3:2	1.500	Soft 2L 1s⟨3/2⟩
					11\29	266.259	435.696	11:7	1.571
				8\21		267.411	434.544	8:5	1.600
					13\34	268.395	433.560	13:8	1.625
			5\13			269.983	431.972	5:3	1.667	Semisoft 2L 1s⟨3/2⟩
					12\31	271.725	430.230	12:7	1.714
				7\18		272.983	428.973	7:4	1.750
					9\23	274.678	427.277	9:5	1.800
	2\5					280.782	421.173	2:1	2.000	Basic 2L 1s⟨3/2⟩
					9\22	287.163	414.792	9:4	2.250
				7\17		289.040	412.915	7:3	2.333
					12\29	290.464	411.491	12:5	2.400
			5\12			292.481	409.474	5:2	2.500	Semihard 2L 1s⟨3/2⟩
					13\31	294.368	407.587	13:5	2.600
				8\19		295.560	406.395	8:3	2.667
					11\26	296.981	404.974	11:4	2.750
		3\7				300.838	401.117	3:1	3.000	Hard 2L 1s⟨3/2⟩
					10\23	305.198	396.757	10:3	3.333
				7\16		307.105	394.850	7:2	3.500
					11\25	308.860	393.095	11:3	3.667
			4\9			311.980	389.975	4:1	4.000	Superhard 2L 1s⟨3/2⟩
					9\20	315.880	386.075	9:2	4.500
				5\11		319.070	382.885	5:1	5.000
					6\13	323.979	377.976	6:1	6.000
1\2						350.978	350.978	1:0	→ ∞	Collapsed 2L 1s⟨3/2⟩

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