6L 1s
| ←5L 1s | 6L 1s | 7L 1s→ |
| ↙5L 2s | ↓6L 2s | 7L 2s↘ |
6L 1s, also called arch(a)eotonic, is a moment of symmetry scale consisting of 6 large steps and 1 small step, repeating every octave. This scale is made using a generator ranging from 171.429¢ to 200¢, or from 1000¢ to 1028.571¢.
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
MODMOSes
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
Scale tree
Generator ranges:
- Chroma-positive generator: 171.4286 cents (1\7) to 200 cents (1\6)
- Chroma-negative generator: 1000 cents (5\6) to 1028.5714 cents (6\7)
| Generator | Cents | Remainder | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1\7 | 171.429 | 171.429 | 1 | 1 | 1.000 | ||||||
| 6\41 | 175.610 | 146.341 | 6 | 5 | 1.200 | ||||||
| 5\34 | 176.471 | 141.765 | 5 | 4 | 1.250 | Tetracot is in this region | |||||
| 9\61 | 177.049 | 137.704 | 9 | 7 | 1.286 | Tetracot/modus/wollemia | |||||
| 4\27 | 177.778 | 133.333 | 4 | 3 | 1.333 | ||||||
| 11\74 | 178.378 | 129.730 | 11 | 8 | 1.375 | ||||||
| 7\47 | 178.723 | 127.660 | 7 | 5 | 1.400 | ||||||
| 10\67 | 179.104 | 125.373 | 10 | 7 | 1.429 | ||||||
| 3\20 | 180.000 | 120.000 | 3 | 2 | 1.500 | ||||||
| 11\73 | 180.822 | 115.068 | 11 | 7 | 1.571 | ||||||
| 8\53 | 181.132 | 113.208 | 8 | 5 | 1.600 | ||||||
| 13\86 | 181.395 | 111.628 | 13 | 8 | 1.625 | Wilson Golden 2 (181.3227¢) | |||||
| 5\33 | 181.818 | 109.091 | 5 | 3 | 1.667 | ||||||
| 12\79 | 182.278 | 106.329 | 12 | 7 | 1.714 | Bluebirds | |||||
| 7\46 | 182.609 | 104.348 | 7 | 4 | 1.750 | ||||||
| 9\59 | 183.051 | 101.695 | 9 | 5 | 1.800 | ||||||
| 2\13 | 184.615 | 92.308 | 2 | 1 | 2.000 | Basic archeotonic | |||||
| 9\58 | 186.207 | 82.759 | 9 | 4 | 2.250 | ||||||
| 7\45 | 186.667 | 80.000 | 7 | 3 | 2.333 | ||||||
| 12\77 | 187.013 | 77.922 | 12 | 5 | 2.400 | ||||||
| 5\32 | 187.500 | 75.000 | 5 | 2 | 2.500 | ||||||
| 13\83 | 187.952 | 72.289 | 13 | 5 | 2.600 | Golden glacial (188.0298¢) | |||||
| 8\51 | 188.235 | 70.588 | 8 | 3 | 2.667 | ||||||
| 11\70 | 188.571 | 68.571 | 11 | 4 | 2.750 | ||||||
| 3\19 | 189.474 | 63.159 | 3 | 1 | 3.000 | Spell | |||||
| 10\63 | 190.476 | 57.143 | 10 | 3 | 3.333 | ||||||
| 7\44 | 190.909 | 54.545 | 7 | 2 | 3.500 | Isra/deutone | |||||
| 11\69 | 191.304 | 52.174 | 11 | 3 | 3.667 | ||||||
| 4\25 | 192.000 | 48.000 | 4 | 1 | 4.000 | Isra/leantone | |||||
| 9\56 | 192.857 | 42.857 | 9 | 2 | 4.500 | ||||||
| 5\31 | 193.548 | 38.709 | 5 | 1 | 5.000 | Didacus/hemithirds/hemiwürschmidt | |||||
| 6\37 | 194.595 | 32.432 | 6 | 1 | 6.000 | Didacus/roulette | |||||
| 1\6 | 200.000 | 0.000 | 1 | 0 | → inf | ||||||