Perfect fifth (diatonic interval category)

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Diatonic perfect fifth
MOS 5L 2s
Other names Perfect 4-diastep
Generator span +1 generator
Tuning range 686–720 ¢
Basic tuning 700 ¢
Function on root Dominant
Interval regions Perfect fifth
Associated just intervals 3/2
Octave complement Perfect fourth

A perfect fifth (P5) is an interval that spans four steps of the 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 ¢ (4\7 to 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 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- and 13-limit.

In TAMNAMS, this interval is called the perfect 4-diastep.

See also