1L 5s

↑ 1L 4s 2L 4s ↗

1L 5s 2L 5s →

↓ 1L 6s 2L 6s ↘
	Scale structure
Step pattern	Lsssss; sssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	5\6 to 1\1 (1000.0 ¢ to 1200.0 ¢)
Dark	0\1 to 1\6 (0.0 ¢ to 200.0 ¢)
	TAMNAMS information
Name	antimachinoid
Prefix	amech-
Abbrev.	amk
	Related MOS scales
Parent	1L 4s
Sister	5L 1s
Daughters	6L 1s, 1L 6s
Neutralized	2L 4s
2-Flought	7L 5s, 1L 11s
	Equal tunings
Equalized (L:s = 1:1)	5\6 (1000.0 ¢)
Supersoft (L:s = 4:3)	16\19 (1010.5 ¢)
Soft (L:s = 3:2)	11\13 (1015.4 ¢)
Semisoft (L:s = 5:3)	17\20 (1020.0 ¢)
Basic (L:s = 2:1)	6\7 (1028.6 ¢)
Semihard (L:s = 5:2)	13\15 (1040.0 ¢)
Hard (L:s = 3:1)	7\8 (1050.0 ¢)
Superhard (L:s = 4:1)	8\9 (1066.7 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)
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1L 5s, named antimachinoid in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 5 small steps, repeating every octave. Generators that produce this scale range from 1000 ¢ to 1200 ¢, or from 0 ¢ to 200 ¢. There are two notable low-harmonic-entropy scales with this MOS pattern. The first is tetracot, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as roulette6, the six note haplitonic scale for the roulette Chromatic pair.

This scale can be seen as the equal-tempered whole-tone scale (6edo), but with one "whole tone" that is larger than the others.

Other scales include very improper (incomplete) versions of porcupine, negri, etc.

Modes

Scale degrees of the modes of 1L 5s
UDP	Cyclic order	Step pattern	Scale degree (amechdegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6
5\|0	1	Lsssss	Perf.	Aug.	Maj.	Maj.	Maj.	Perf.	Perf.
4\|1	6	sLssss	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.	Perf.
3\|2	5	ssLsss	Perf.	Perf.	Min.	Maj.	Maj.	Perf.	Perf.
2\|3	4	sssLss	Perf.	Perf.	Min.	Min.	Maj.	Perf.	Perf.
1\|4	3	ssssLs	Perf.	Perf.	Min.	Min.	Min.	Perf.	Perf.
0\|5	2	sssssL	Perf.	Perf.	Min.	Min.	Min.	Dim.	Perf.

Scales

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:

{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}

The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 1L 5s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
5\6						1000.000	200.000	1:1	1.000	Equalized 1L 5s
					26\31	1006.452	193.548	6:5	1.200
				21\25		1008.000	192.000	5:4	1.250
					37\44	1009.091	190.909	9:7	1.286
			16\19			1010.526	189.474	4:3	1.333	Supersoft 1L 5s
					43\51	1011.765	188.235	11:8	1.375
				27\32		1012.500	187.500	7:5	1.400
					38\45	1013.333	186.667	10:7	1.429
		11\13				1015.385	184.615	3:2	1.500	Soft 1L 5s
					39\46	1017.391	182.609	11:7	1.571
				28\33		1018.182	181.818	8:5	1.600
					45\53	1018.868	181.132	13:8	1.625
			17\20			1020.000	180.000	5:3	1.667	Semisoft 1L 5s
					40\47	1021.277	178.723	12:7	1.714
				23\27		1022.222	177.778	7:4	1.750
					29\34	1023.529	176.471	9:5	1.800
	6\7					1028.571	171.429	2:1	2.000	Basic 1L 5s Scales with tunings softer than this are proper
					25\29	1034.483	165.517	9:4	2.250
				19\22		1036.364	163.636	7:3	2.333
					32\37	1037.838	162.162	12:5	2.400
			13\15			1040.000	160.000	5:2	2.500	Semihard 1L 5s
					33\38	1042.105	157.895	13:5	2.600
				20\23		1043.478	156.522	8:3	2.667
					27\31	1045.161	154.839	11:4	2.750
		7\8				1050.000	150.000	3:1	3.000	Hard 1L 5s
					22\25	1056.000	144.000	10:3	3.333
				15\17		1058.824	141.176	7:2	3.500
					23\26	1061.538	138.462	11:3	3.667
			8\9			1066.667	133.333	4:1	4.000	Superhard 1L 5s
					17\19	1073.684	126.316	9:2	4.500
				9\10		1080.000	120.000	5:1	5.000
					10\11	1090.909	109.091	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 5s