3L 2s

For the 3/2-equivalent 3L 2s pattern, see 3'''Bold text'''L 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 ¢)

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.

Names

The TAMNAMS system uses the name thorthic, from the generator being a "third-fourth".

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