1L 5s

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.

	↑ 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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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