User:Ganaram inukshuk/4L 3s
| ↖ 3L 2s | ↑ 4L 2s | 5L 2s ↗ |
| ← 3L 3s | 4L 3s | 5L 3s → |
| ↙ 3L 4s | ↓ 4L 4s | 5L 4s ↘ |
┌╥╥┬╥┬╥┬┐ │║║│║│║││ │││││││││ └┴┴┴┴┴┴┴┘
sLsLsLL
- This is a test page. For the main page, see 4L 3s.
4L 3s, named smitonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 3 small steps, repeating every octave. Generators that produce this scale range from 857.1 ¢ to 900 ¢, or from 300 ¢ to 342.9 ¢.
Notation
Unless otherwise stated, diamond-MOS notation is used in this article, applying unaltered note names JKLMNOP to the mode 3|3 (step pattern LsLsLsL). Alterations by a chroma are denoted using the symbols & (pronounced "am" or "amp", which raises or "amplifies" a pitch by a chroma) and @ (pronounced "at", which rhymes with "flat").
The gamuts for 4L 3s in 11edo, 15edo, and 18edo are shown below.
| Step ratio | Gamut |
|---|---|
| 2:1 (11edo) | J, J&/K@, K, L, L&/M@, M, N, N&/O@, O, P, P&/J@, J |
| 3:1 (15edo) | J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J |
| 3:2 (18edo) | J, J&, K@, K, K&/L@, L, L&, M@, M, M&/N@, N, N&, O@, O, O&/P@, P, P&, J@, J |
Tunings
Unless otherwise stated, TAMNAMS is used in this article to name 4L 3s step ratio sizes and ranges, and intervals and scale degrees. Intervals and scale degrees are indexed starting at 0 (0-smistep, 1-smistep, etc). 1-indexed terms (smi-1st, smi-2nd, etc) are discouraged for non-diatonic MOS scales.
Simple tunings
|
User:MOS degrees is deprecated. Please use Template:MOS tunings instead. |
| Scale degree | 11edo (Basic, L:s = 2:1) | Approx. JI Ratios | |
|---|---|---|---|
| Steps | Cents | ||
| Perfect 0-smidegree (unison) | 0 | 0 | 1/1 (exact) |
| Minor 1-smidegree | 1 | 109.1 | |
| Major 1-smidegree | 2 | 218.2 | |
| Perfect 2-smidegree | 3 | 327.3 | |
| Augmented 2-smidegree | 4 | 436.4 | |
| Minor 3-smidegree | 4 | 436.4 | |
| Major 3-smidegree | 5 | 545.5 | |
| Minor 4-smidegree | 6 | 654.5 | |
| Major 4-smidegree | 7 | 763.6 | |
| Diminished 5-smidegree | 7 | 763.6 | |
| Perfect 5-smidegree | 8 | 872.7 | |
| Minor 6-smidegree | 9 | 981.8 | |
| Major 6-smidegree | 10 | 1090.9 | |
| Perfect 7-smidegree (octave) | 11 | 1200 | 2/1 (exact) |
Supersoft
Semisoft
Semihard
Superhard
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 6|0 | 1 | LLsLsLs |
| 5|1 | 6 | LsLLsLs |
| 4|2 | 4 | LsLsLLs |
| 3|3 | 2 | LsLsLsL |
| 2|4 | 7 | sLLsLsL |
| 1|5 | 5 | sLsLLsL |
| 0|6 | 3 | sLsLsLL |