4L 8s

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

┌╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║│││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLss ssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	2\12 to 1\4 (200.0 ¢ to 300.0 ¢)
Dark	0\4 to 1\12 (0.0 ¢ to 100.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	4L 4s
Sister	8L 4s
Daughters	12L 4s, 4L 12s
Neutralized	8L 4s
2-Flought	16L 8s, 4L 20s
Equal tunings
Equalized (L:s = 1:1)	2\12 (200.0 ¢)
Supersoft (L:s = 4:3)	7\40 (210.0 ¢)
Soft (L:s = 3:2)	5\28 (214.3 ¢)
Semisoft (L:s = 5:3)	8\44 (218.2 ¢)
Basic (L:s = 2:1)	3\16 (225.0 ¢)
Semihard (L:s = 5:2)	7\36 (233.3 ¢)
Hard (L:s = 3:1)	4\20 (240.0 ¢)
Superhard (L:s = 4:1)	5\24 (250.0 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 8 small steps, with a period of 1 large step and 2 small steps that repeats every 300.0 ¢, or 4 times every octave. 4L 8s is a child scale of 4L 4s, expanding it by 4 tones. Generators that produce this scale range from 200 ¢ to 300 ¢, or from 0 ¢ to 100 ¢.

This is the minor chromatic scale of Diminished temperament. Its period of 300 ¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low. The name for this MOS scale is p-chro tetrawood.

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 4L 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\12						200.000	100.000	1:1	1.000	Equalized 4L 8s
					11\64	206.250	93.750	6:5	1.200
				9\52		207.692	92.308	5:4	1.250
					16\92	208.696	91.304	9:7	1.286
			7\40			210.000	90.000	4:3	1.333	Supersoft 4L 8s
					19\108	211.111	88.889	11:8	1.375
				12\68		211.765	88.235	7:5	1.400
					17\96	212.500	87.500	10:7	1.429
		5\28				214.286	85.714	3:2	1.500	Soft 4L 8s
					18\100	216.000	84.000	11:7	1.571
				13\72		216.667	83.333	8:5	1.600
					21\116	217.241	82.759	13:8	1.625
			8\44			218.182	81.818	5:3	1.667	Semisoft 4L 8s
					19\104	219.231	80.769	12:7	1.714
				11\60		220.000	80.000	7:4	1.750
					14\76	221.053	78.947	9:5	1.800
	3\16					225.000	75.000	2:1	2.000	Basic 4L 8s Scales with tunings softer than this are proper
					13\68	229.412	70.588	9:4	2.250
				10\52		230.769	69.231	7:3	2.333
					17\88	231.818	68.182	12:5	2.400
			7\36			233.333	66.667	5:2	2.500	Semihard 4L 8s
					18\92	234.783	65.217	13:5	2.600
				11\56		235.714	64.286	8:3	2.667
					15\76	236.842	63.158	11:4	2.750
		4\20				240.000	60.000	3:1	3.000	Hard 4L 8s
					13\64	243.750	56.250	10:3	3.333
				9\44		245.455	54.545	7:2	3.500
					14\68	247.059	52.941	11:3	3.667
			5\24			250.000	50.000	4:1	4.000	Superhard 4L 8s
					11\52	253.846	46.154	9:2	4.500
				6\28		257.143	42.857	5:1	5.000
					7\32	262.500	37.500	6:1	6.000
1\4						300.000	0.000	1:0	→ ∞	Collapsed 4L 8s