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

The TAMNAMS system uses the name archeotonic.

Notation

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

Modes

MOS modes

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