User:Overthink/Neutral scale theory
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Neutral scales are generated by a neutral third of around 350 cents, which exists in 17edo, 24edo, and many other tunings. The generator can be taken to represent 11/9, and two generators reach 3/2, tempering out the comma 243/242. This generator leads to MOSes of size 4, 7, 10, 17, etc. Here we will mainly be considering the 7-note 3L 4s and 10-note 7L 3s MOSes.
3L 4s (mosh)
The 3L 4s MOS has a step pattern of LssLsLs, where L is a major second and s is a neutral second. We borrow note names from 5L 2s (diatonic) as C, D, E, F, G, A, B. We use sharp (typed as #) and flat (typed as b) to denote an increment and decrement by L-s, or a quarter tone. A table of intervals of this scale in 24edo is below.
| Note | Cents | Ratio |
|---|---|---|
| C | 0 | 1/1 |
| D | 200 | 9/8 |
| E | 350 | 11/9 |
| F | 500 | 4/3 |
| G | 700 | 3/2 |
| A | 850 | 18/11 |
| B | 1050 | 11/6 |
| C | 1200 | 2/1 |