8L 4s

↖ 7L 3s	↑ 8L 3s	9L 3s ↗
← 7L 4s	8L 4s	9L 4s →
↙ 7L 5s	↓ 8L 5s	9L 5s ↘

┌╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║│║║│║║│║║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLLs sLLsLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	1\12 to 1\8 (100.0 ¢ to 150.0 ¢)
Dark	1\8 to 2\12 (150.0 ¢ to 200.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	4L 4s
Sister	4L 8s
Daughters	12L 8s, 8L 12s
Neutralized	4L 8s
2-Flought	20L 4s, 8L 16s
Equal tunings
Equalized (L:s = 1:1)	1\12 (100.0 ¢)
Supersoft (L:s = 4:3)	4\44 (109.1 ¢)
Soft (L:s = 3:2)	3\32 (112.5 ¢)
Semisoft (L:s = 5:3)	5\52 (115.4 ¢)
Basic (L:s = 2:1)	2\20 (120.0 ¢)
Semihard (L:s = 5:2)	5\48 (125.0 ¢)
Hard (L:s = 3:1)	3\28 (128.6 ¢)
Superhard (L:s = 4:1)	4\36 (133.3 ¢)
Collapsed (L:s = 1:0)	1\8 (150.0 ¢)

8L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 4 small steps, with a period of 2 large steps and 1 small step that repeats every 300.0 ¢, or 4 times every octave. 8L 4s is a child scale of 4L 4s, expanding it by 4 tones. Generators that produce this scale range from 100 ¢ to 150 ¢, or from 150 ¢ to 200 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

This is the chromatic scale of Golden diminished temperament.

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.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 8L 4s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\12						100.000	200.000	1:1	1.000	Equalized 8L 4s
					6\68	105.882	194.118	6:5	1.200
				5\56		107.143	192.857	5:4	1.250
					9\100	108.000	192.000	9:7	1.286
			4\44			109.091	190.909	4:3	1.333	Supersoft 8L 4s
					11\120	110.000	190.000	11:8	1.375
				7\76		110.526	189.474	7:5	1.400
					10\108	111.111	188.889	10:7	1.429
		3\32				112.500	187.500	3:2	1.500	Soft 8L 4s
					11\116	113.793	186.207	11:7	1.571
				8\84		114.286	185.714	8:5	1.600
					13\136	114.706	185.294	13:8	1.625
			5\52			115.385	184.615	5:3	1.667	Semisoft 8L 4s
					12\124	116.129	183.871	12:7	1.714
				7\72		116.667	183.333	7:4	1.750
					9\92	117.391	182.609	9:5	1.800
	2\20					120.000	180.000	2:1	2.000	Basic 8L 4s
					9\88	122.727	177.273	9:4	2.250
				7\68		123.529	176.471	7:3	2.333
					12\116	124.138	175.862	12:5	2.400
			5\48			125.000	175.000	5:2	2.500	Semihard 8L 4s
					13\124	125.806	174.194	13:5	2.600
				8\76		126.316	173.684	8:3	2.667
					11\104	126.923	173.077	11:4	2.750
		3\28				128.571	171.429	3:1	3.000	Hard 8L 4s
					10\92	130.435	169.565	10:3	3.333
				7\64		131.250	168.750	7:2	3.500
					11\100	132.000	168.000	11:3	3.667
			4\36			133.333	166.667	4:1	4.000	Superhard 8L 4s
					9\80	135.000	165.000	9:2	4.500
				5\44		136.364	163.636	5:1	5.000
					6\52	138.462	161.538	6:1	6.000
1\8						150.000	150.000	1:0	→ ∞	Collapsed 8L 4s

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