6L 1s

← 5L 1s	6L 1s	7L 1s →
↙ 5L 2s	↓ 6L 2s	7L 2s ↘

Scale structure
Step pattern	LLLLLLs sLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\7 to 1\6 (171.4 ¢ to 200.0 ¢)
Dark	5\6 to 6\7 (1000.0 ¢ to 1028.6 ¢)
TAMNAMS information
Name	archaeotonic
Prefix	arch-
Abbrev.	arc
Related MOS scales
Parent	1L 5s
Sister	1L 6s
Daughters	7L 6s, 6L 7s
Neutralized	5L 2s
2-Flought	13L 1s, 6L 8s
Equal tunings
Equalized (L:s = 1:1)	1\7 (171.4 ¢)
Supersoft (L:s = 4:3)	4\27 (177.8 ¢)
Soft (L:s = 3:2)	3\20 (180.0 ¢)
Semisoft (L:s = 5:3)	5\33 (181.8 ¢)
Basic (L:s = 2:1)	2\13 (184.6 ¢)
Semihard (L:s = 5:2)	5\32 (187.5 ¢)
Hard (L:s = 3:1)	3\19 (189.5 ¢)
Superhard (L:s = 4:1)	4\25 (192.0 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
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There are two notable harmonic entropy minima with this MOS pattern. The first is tetracot, in which four generators make a 3/2, and the second is known as roulette7, the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament roulette. (Other temperaments like didacus, luna, hemithirds, and hemiwürschmidt have very similar 7-note MOSes.)

The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.

Scales of this form are always proper, because there is only one small step.

Generator						Cents	Comments
1\7						171.43
					6\41	175.61	Enipucrop is between here and 1\7
				5\34		176.47	Tetracot is around here
			4\27			177.78
		3\20				180
						180.815
				8\53		181.13
						1200/(5+phi)	Unnamed golden temperament (discussed in this thread)
			5\33			181.82
						182.44
				7\46		182.61
	2\13					184.62	Optimum rank range glacial (L/s=2/1)
			5\32			187.5
						188.03
				8\51		188.235
						188.45	L/s = e
		3\19				189.47	L/s = 3
						189.92	L/s = pi
			4\25			192	L/s = 4
				5\31		193.55	Luna/hemithird/roulette is around here
					6\37	194.595
1\6						200