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 ¢)

6L 1s, named archaeotonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 171.4 ¢ to 200 ¢, or from 1000 ¢ to 1028.6 ¢. Scales of this form are always proper because there is only one small step.

Names

TAMNAMS suggests the temperament-agnostic name archaeotonic as the name of 6L 1s. The name was originally used as a name for the 6L 1s scale in 13edo.

Notation

JKLMNOPJ = LLLsLLL (Horthathian mode), &/@ = chroma up/down

Modes

Scale degrees of the modes of 6L 1s

UDP	Cyclic order	Step pattern	Scale degree (archdegree)
			0	1	2	3	4	5	6	7
6|0	1	LLLLLLs	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Aug.	Perf.
5|1	2	LLLLLsL	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
4|2	3	LLLLsLL	Perf.	Perf.	Maj.	Maj.	Maj.	Min.	Perf.	Perf.
3|3	4	LLLsLLL	Perf.	Perf.	Maj.	Maj.	Min.	Min.	Perf.	Perf.
2|4	5	LLsLLLL	Perf.	Perf.	Maj.	Min.	Min.	Min.	Perf.	Perf.
1|5	6	LsLLLLL	Perf.	Perf.	Min.	Min.	Min.	Min.	Perf.	Perf.
0|6	7	sLLLLLL	Perf.	Dim.	Min.	Min.	Min.	Min.	Perf.	Perf.

Proposed Names

Temperaments

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

• Tetracot7 – 34edo, 41edo, and POTE tuning
• Bluebirds7 – 329edo tuning
• Glacial7 – 84edo tuning
• Deutone7 – 44edo tuning
• Leantone7 – 81edo tuning
• Roulette7 – 37edo tuning