3L 2s

↖ 2L 1s	↑ 3L 1s	4L 1s ↗
← 2L 2s	3L 2s	4L 2s →
↙ 2L 3s	↓ 3L 3s	4L 3s ↘

┌╥╥┬╥┬┐ │║║│║││ │││││││ └┴┴┴┴┴┘
Scale structure
Step pattern	LLsLs sLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\5 to 2\3 (720.0 ¢ to 800.0 ¢)
Dark	1\3 to 2\5 (400.0 ¢ to 480.0 ¢)
Related MOS scales
Parent	2L 1s
Sister	2L 3s
Daughters	5L 3s, 3L 5s
Neutralized	1L 4s
2-Flought	8L 2s, 3L 7s
Equal tunings
Equalized (L:s = 1:1)	3\5 (720.0 ¢)
Supersoft (L:s = 4:3)	11\18 (733.3 ¢)
Soft (L:s = 3:2)	8\13 (738.5 ¢)
Semisoft (L:s = 5:3)	13\21 (742.9 ¢)
Basic (L:s = 2:1)	5\8 (750.0 ¢)
Semihard (L:s = 5:2)	12\19 (757.9 ¢)
Hard (L:s = 3:1)	7\11 (763.6 ¢)
Superhard (L:s = 4:1)	9\14 (771.4 ¢)
Collapsed (L:s = 1:0)	2\3 (800.0 ¢)

For the 3/2-equivalent 3L 2s pattern, see 3L 2s (fifth-equivalent).

3L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 2 small steps, repeating every octave. Generators that produce this scale range from 720 ¢ to 800 ¢, or from 400 ¢ to 480 ¢.

The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone[5]. It's also improper.

Name

The TAMNAMS system applies the name antipentic as the scale utilizes opposite step sizes to the “classic” pentatonic scale (2L 3s). The name antipentic can be used regardless of the equave.

Intervals

Intervals of 3L 2s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 240.0 ¢
	Major 1-mosstep	M1ms	L	240.0 ¢ to 400.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	400.0 ¢ to 480.0 ¢
	Augmented 2-mosstep	A2ms	2L	480.0 ¢ to 800.0 ¢
3-mosstep	Diminished 3-mosstep	d3ms	L + 2s	400.0 ¢ to 720.0 ¢
	Perfect 3-mosstep	P3ms	2L + s	720.0 ¢ to 800.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	800.0 ¢ to 960.0 ¢
	Major 4-mosstep	M4ms	3L + s	960.0 ¢ to 1200.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	3L + 2s	1200.0 ¢

Modes

Scale degrees of the modes of 3L 2s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4	5
4|0	1	LLsLs	Perf.	Maj.	Aug.	Perf.	Maj.	Perf.
3|1	4	LsLLs	Perf.	Maj.	Perf.	Perf.	Maj.	Perf.
2|2	2	LsLsL	Perf.	Maj.	Perf.	Perf.	Min.	Perf.
1|3	5	sLLsL	Perf.	Min.	Perf.	Perf.	Min.	Perf.
0|4	3	sLsLL	Perf.	Min.	Perf.	Dim.	Min.	Perf.

Scale tree

Generator ranges:

• Chroma-positive generator: 720 ¢ (3\5) to 800 ¢ (2\3)
• Chroma-negative generator: 400 ¢ (1\3) to 480 ¢ (2\5)