6L 1s
| ← 5L 1s | 6L 1s | 7L 1s → |
| ↙ 5L 2s | ↓ 6L 2s | 7L 2s ↘ |
┌╥╥╥╥╥╥┬┐ │║║║║║║││ │││││││││ └┴┴┴┴┴┴┴┘
sLLLLLL
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
| 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.