1L 6s

	↑1L 5s	2L 5s↗
	1L 6s	2L 6s→
	↓1L 7s	2L 7s↘

┌╥┬┬┬┬┬┬┐ │║│││││││ │││││││││ └┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lssssss ssssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	6\7 to 1\1 (1028.6¢ to 1200.0¢)
Dark	0\1 to 1\7 (0.0¢ to 171.4¢)
TAMNAMS information
Name	onyx
Prefix	on-
Abbrev.	on
Related MOS scales
Parent	1L 5s
Sister	6L 1s
Daughters	7L 1s 1L 7s
Equal tunings
Equalized (L:s = 1:1)	6\7 (1028.6¢)
Supersoft (L:s = 4:3)	19\22 (1036.4¢)
Soft (L:s = 3:2)	13\15 (1040.0¢)
Semisoft (L:s = 5:3)	20\23 (1043.5¢)
Basic (L:s = 2:1)	7\8 (1050.0¢)
Semihard (L:s = 5:2)	15\17 (1058.8¢)
Hard (L:s = 3:1)	8\9 (1066.7¢)
Superhard (L:s = 4:1)	9\10 (1080.0¢)
Collapsed (L:s = 1:0)	1\1 (1200.0¢)

1L 6s, named onyx in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 6 small steps, repeating every octave. Generators that produce this scale range from 1028.6¢ to 1200¢, or from 0¢ to 171.4¢.

Name

TAMNAMS suggests the temperament-agnostic name onyx for this scale. The name comes from a lot of naming puns and references, namely:

• The name sounds like its step counts of one large step and six small steps.
• Onyxes come in different colors and types, which is a metaphor for this scale's generator range being quite large and containing the generator ranges of other MOS scales, such as 7L 1s, 8L 1s, and 9L 1s.

Theory

Low harmonic entropy scales

There is one notable harmonic entropy minimum: porcupine, in which the generator is around 150¢ to 170¢, two generators make a 6/5 (315.6¢), and three make a 4/3 (498¢).

Modes

Mode names are from Porcupine temperament modal harmony, proposed by William Lynch. Descriptive mode names reference the page's original descriptions of the modes.

Mode	UDP	Mode name	Descriptive mode name
Lssssss	6|0	chinchillian	Bright major
sLsssss	5|1	badgerian	Dark major
ssLssss	4|2	zebrian	Bright minor
sssLsss	3|3	dingoian	Symmetric minor
ssssLss	2|4	gazellian	Bright diminished
sssssLs	1|5	lemurian	Dark diminished
ssssssL	0|6	pandian	Magical seventh

Scale tree

Scale tree and tuning spectrum of 1L 6s

Generator (edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
6\7						1028.571	171.429	1:1	1.000	Equalized 1L 6s
					31\36	1033.333	166.667	6:5	1.200
				25\29		1034.483	165.517	5:4	1.250
					44\51	1035.294	164.706	9:7	1.286
			19\22			1036.364	163.636	4:3	1.333	Supersoft 1L 6s
					51\59	1037.288	162.712	11:8	1.375	Porcupine/Porcupinefish
				32\37		1037.838	162.162	7:5	1.400
					45\52	1038.462	161.538	10:7	1.429
		13\15				1040.000	160.000	3:2	1.500	Soft 1L 6s
					46\53	1041.509	158.491	11:7	1.571	Hemikleismic
				33\38		1042.105	157.895	8:5	1.600
					53\61	1042.623	157.377	13:8	1.625	Wilson Golden 1 (1042.4790¢)
			20\23			1043.478	156.522	5:3	1.667	Semisoft 1L 6s
					47\54	1044.444	155.556	12:7	1.714
				27\31		1045.161	154.839	7:4	1.750	Nusecond
					34\39	1046.154	153.846	9:5	1.800
	7\8					1050.000	150.000	2:1	2.000	Basic 1L 6s Scales with tunings softer than this are proper
					29\33	1054.545	145.455	9:4	2.250
				22\25		1056.000	144.000	7:3	2.333
					37\42	1057.143	142.857	12:5	2.400
			15\17			1058.824	141.176	5:2	2.500	Semihard 1L 6s Progression (incomplete)
					38\43	1060.465	139.535	13:5	2.600	Golden jerome (1060.7571¢)
				23\26		1061.538	138.462	8:3	2.667
					31\35	1062.857	137.143	11:4	2.750
		8\9				1066.667	133.333	3:1	3.000	Hard 1L 6s
					25\28	1071.429	128.571	10:3	3.333
				17\19		1073.684	126.316	7:2	3.500	Negri (incomplete)
					26\29	1075.862	124.138	11:3	3.667
			9\10			1080.000	120.000	4:1	4.000	Superhard 1L 6s
					19\21	1085.714	114.286	9:2	4.500	Miracle (incomplete)
				10\11		1090.909	109.091	5:1	5.000
					11\12	1100.000	100.000	6:1	6.000	Passion, ripple (incomplete)
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 6s