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
Neutralized	2L 5s
2-Flought	8L 6s, 1L 13s
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 as the name of 1L 6s. The name derives from several naming puns/reasonings:

• 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.
• Building on the observation that it is the 7-note (heptatonic) MOS that is the ancestor of all xL 1s scales with x>6, the name "onyx" also sounds similar to "one x", as in 1 large step and x small steps.
• The name "onyx" is also supposed to be vaguely reminiscent of "anti-archaeotonic" as "chi" (the greek letter) is written like an "x" (this is related to why "christmas" is abbreviated sometimes as "X-mas") and the letters "o" and "n" and their sounds are also present in "archaeotonic", and "x" is vaguely reminiscent of negation and multiplication. There is also something like a "y" sound in "archaeotonic" in the "aeo" part.

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

Theory

Low harmonic entropy scales

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

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