4edf: Difference between revisions
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Adopt template: ED intro; cleanup; -redundant categories |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} It corresponds to 6.8380[[edo]]. It is related to the [[tetracot]] temperament, which [[tempering out|tempers out]] [[20000/19683]] in the 5-limit. | |||
== Intervals == | == Intervals == | ||
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== | == Music == | ||
* [http://www.seraph.it/dep/det/repetitions1.mp3 | ; [[Carlo Serafini]] | ||
* ''Repetitions 1'' – [http://www.seraph.it/dep/det/repetitions1.mp3 play] | [https://www.youtube.com/watch?v=XEklMo0tIW0 YouTube] | |||
[[Category:Listen]] | [[Category:Listen]] | ||
Revision as of 06:01, 10 May 2024
| ← 3edf | 4edf | 5edf → |
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4 equal divisions of the perfect fifth (abbreviated 4edf or 4ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 4 equal parts of about 175 ¢ each. Each step represents a frequency ratio of (3/2)1/4, or the 4th root of 3/2. It corresponds to 6.8380edo. It is related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.
Intervals
| degree | cents value | octave-reduced cents value | Tetratonic notation |
|---|---|---|---|
| 0 | C | ||
| 1 | 175.489 | D | |
| 2 | 350.978 | E | |
| 3 | 526.466 | F | |
| 4 | 701.955 | C | |
| 5 | 877.444 | D | |
| 6 | 1052.933 | E | |
| second octave | |||
| 7 | 1228.421 | 28.421 | F |
| 8 | 1403.910 | 203.910 | C |
| nonet | |||
| 9 | 1579.399 | 379.399 | D |
| 10 | 1754.888 | 554.888 | E |
| 11 | 1930.376 | 730.376 | F |
| 12 | 2105.865 | 905.865 | C |
| 13 | 2281.354 | 1081.354 | D |
| third octave | |||
| 14 | 2456.843 | 56.843 | E |