3L 2s

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

↖ 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 ¢)

3L 2s or antipentic is a 5-tone scale. 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. 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).

Modes

• 4|0 LLsLs
• 3|1 LsLLs
• 2|2 LsLsL
• 1|3 sLLsL
• 0|4 sLsLL

Scale tree

Generator ranges:

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

Generator						Cents	L	s	L/s	Comments
3\5						720.000	1	1	1.000
					17\28	728.571	6	5	1.200
				14\23		730.435	5	4	1.250
					25\41	731.707	9	7	1.286
			11\18			733.333	4	3	1.333
					30\49	734.694	11	8	1.375	Semisept
				19\31		735.484	7	5	1.400
					27\44	736.364	10	7	1.429
		8\13				738.462	3	2	1.500
					29\47	740.426	11	7	1.571
				21\34		741.176	8	5	1.600
					34\55	741.818	13	8	1.625	Golden father/petritri/aurora (741.6408¢)
			13\21			742.857	5	3	1.667
					31\50	744.000	12	7	1.714
				18\29		744.828	7	4	1.750
					23\37	745.946	9	5	1.800
	5\8					750.000	2	1	2.000	Basic antipentic (Generators smaller than this are proper)
					22\35	754.286	9	4	2.250
				17\27		755.556	7	3	2.333
					29\46	756.522	12	5	2.400	Sensi
			12\19			757.895	5	2	2.500
					31\49	759.184	13	5	2.600	Golden sentry (759.4078¢)
				19\30		760.000	8	3	2.667
					26\41	760.976	11	4	2.750
		7\11				763.636	3	1	3.000
					23\36	766.667	10	3	3.333
				16\25		768.000	7	2	3.500
					25\39	769.231	11	3	3.667
			9\14			771.429	4	1	4.000
					20\31	774.194	9	2	4.500	Squares/skwares
				11\17		776.471	5	1	5.000
					13\20	780.000	6	1	6.000
2\3						800.000	1	0	→ inf