6L 1s
Brightest mode | LLLsLLL | |
Period | 2/1 | |
Range for bright generator | 1\7 (171.4¢) to 1\6 (200.0¢) | |
Range for dark generator | 5\6 (1,000.0¢) to 6\7 (1,028.6¢) | |
Parent MOS | 1L 5s | |
Daughter MOSes | 7L 6s, 6L 7s | |
Sister MOS | 1L 6s | |
TAMNAMS name | archeotonic | |
Equal tunings | ||
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¢) |
6L 1s is the MOS scale built from a generator between 1\7 (171¢) and 1\6 (200¢). 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 |