Perfect fifth: Difference between revisions

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| Header 9 = Octave complement | Data 9 = [[Perfect fourth]]
| Header 9 = Octave complement | Data 9 = [[Perfect fourth]]
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A perfect fourth is an interval that spans four steps of the [[5L 2s|diatonic]] scale with a perfect quality, i.e. the quality that exists in all but one modes. It is a [[generator]] of the diatonic scale. Depending on the specific tuning, it ranges from 686 to 720{{cent}} ([[7edo|4\7]] to [[5edo|3\5]]).  
A perfect fifth is an interval that spans five steps of the [[5L 2s|diatonic]] scale with a perfect quality, i.e. the quality that exists in all but one modes. It is a [[generator]] of the diatonic scale. Depending on the specific tuning, it ranges from 686 to 720{{cent}} ([[7edo|4\7]] to [[5edo|3\5]]).  


In [[just intonation]], the just perfect fifth is [[3/2]]. Other intervals are also classified as perfect fifths, sometimes called ''wolf fifths'' or ''imperfect fifths'', if they are reasonably mapped to four steps of the diatonic scale and seven steps of the chromatic scale, or formally 4\7 and [[24edo|14\24]]. The use of 24edo's 14\24 as the mapping criteria here rather than [[12edo]]'s 7\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].
In [[just intonation]], the just perfect fifth is [[3/2]]. Other intervals are also classified as perfect fifths, sometimes called ''wolf fifths'' or ''imperfect fifths'', if they are reasonably mapped to four steps of the diatonic scale and seven steps of the chromatic scale, or formally 4\7 and [[24edo|14\24]]. The use of 24edo's 14\24 as the mapping criteria here rather than [[12edo]]'s 7\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].