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

• 5|0 Lsssss
• 4|1 sLssss
• 3|2 ssLsss
• 2|3 sssLss
• 1|4 ssssLs
• 0|5 sssssL

Scales

• Roulette6
• Tutone6
• Deutone6
• Leantone6
• Glacial6

Scale tree

Generator ranges:

• Chroma-positive generator: 1000 cents (5\6) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 200 cents (1\6)

Generator (Chroma-positive)						Cents		L	s	L/s	Comments
						Chroma-positive	Chroma-negative
5\6						1000.000	200.000	1	1	1.000
					26\31	1006.452	193.548	6	5	1.200	Luna/hemithirds/hemiwürschmidt, didacus/roulette, isra/tutone/leantone
				21\25		1008.000	192.000	5	4	1.250	Isra/leantone
					37\44	1009.091	190.909	9	7	1.286	Isra/deutone
			16\19			1010.526	189.474	4	3	1.333	Spell
					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	Glacial
					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	Wilson Golden 2 (1018.6773¢)
			17\20			1020.000	180.000	5	3	1.667
					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	Tetracot
	6\7					1028.571	171.429	2	1	2.000	Basic 1L 5s (Generators smaller than this are proper)
					25\29	1034.483	165.517	9	4	2.250
				19\22		1036.364	163.636	7	3	2.333	Porcupine (incomplete)
					32\37	1037.838	162.162	12	5	2.400	Porcupine/porcupinefish
			13\15			1040.000	160.000	5	2	2.500
					33\38	1042.105	157.895	13	5	2.600	Hemikleismic Wilson Golden 1 (1042.4790¢)
				20\23		1043.478	156.522	8	3	2.667
					27\31	1045.161	154.839	11	4	2.750	Nusecond
		7\8				1050.000	150.000	3	1	3.000
					22\25	1056.000	144.000	10	3	3.333
				15\17		1058.824	141.176	7	2	3.500	Progression (incomplete)
					23\26	1061.538	138.462	11	3	3.667
			8\9			1066.667	133.333	4	1	4.000
					17\19	1073.684	126.316	9	2	4.500	Negri (incomplete)
				9\10		1080.000	120.000	5	1	5.000	Miracle (incomplete)
					10\11	1090.909	109.091	6	1	6.000	Passion↓ (incomplete), ripple↓ (incomplete)
1\1						1200.000	0.000	1	0	→ inf