Chain-of-fifths notation: Difference between revisions
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tried to a a bit of space between the fifth and the derived intervals |
Update according to talk page. And no it's impossible to notate 34edo |
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The '''circle-of-fifths notation''' is suitable to open up the variety of tones of a selection of EDOs. 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 | 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) | 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) | ||
{{EDOs| 12, 17, 19, 22, 26, 29 | {{EDOs| 12, 17, 19, 22, 26, 29, and 31edo }}. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 52: | Line 52: | ||
| 5\31 | | 5\31 | ||
| 2\31 | | 2\31 | ||
|} | |} | ||
[[Category:Notation]] | [[Category:Notation]] | ||
[[Category:Method]] | [[Category:Method]] | ||
Revision as of 07:12, 15 November 2020
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 |