Chain-of-fifths notation
The circle-of-fifths notation is suitable to open up the variety of tones of a selection of EDOs and regular temperaments of fifth generator. The principle is based on one of the intervals taking over the role of the fifth of the traditional classical notation system of music (in 12-EDO or the meantone tuning). The classical notation system uses seven root notes and two different accidentals (sharp and flat and their multiples).
The EDOs that are best supported by this system are those whose fifth does not deviate too much from the pure fifth 3/2 (702 cent). These are(/include) 12, 17, 19, 22, 26, 29, and 31edo.
| EDO | Fifth (cents) | Delta | Wholetone | Accidental | |
|---|---|---|---|---|---|
| 12 | 7\12 (700.0) | -2.0 | 2\12 | 1\12 | |
| 17 | 10\17 (705.9) | +3.9 | 3\17 | 2\17 | |
| 19 | 11\19 (694.7) | -7.2 | 3\19 | 1\19 | |
| 22 | 13\22 (709.1) | +7.1 | 4\22 | 3\22 | |
| 26 | 15\26 (692.3) | -9.6 | 4\26 | 1\26 | |
| 29 | 17\29 (703.4) | +1.5 | 5\29 | 3\29 | |
| 31 | 18\31 (696.8) | -5.2 | 5\31 | 2\31 |