Perfect fifth: Difference between revisions

Line 1:

A '''perfect fifth (P5)''' ~~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. Depending on the specific tuning~~, ~~it ranges~~ from ~~686 to 720~~{{~~cent~~}} ([[~~7edo|4\7~~]] to [[~~5edo|3\5~~]]).

A '''perfect fifth (P5)''', as a concrete [[interval region]], is typically near 700{{c}} in size, distinct from semidiminished fifths of rougly 650{{c}}. A rough tuning range for the perfect fifth is about 670 to 730 [[cents]] according to [[Margo Schulter]]'s theory of interval regions. Another common range is the stricter range from 686 to 720{{c}}, which generates a diatonic scale.

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 ~~4\7 and [[24edo|14\24]] (precisely~~ four steps of the diatonic scale and seven steps of the chromatic scale~~). 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.

As a ~~concrete~~ [[~~interval region~~]], ~~it is typically near 700{{c}}~~ in ~~size~~, ~~distinct~~ from ~~semidiminished fifths of rougly 650~~{{c}}~~. A rough tuning range for the perfect fifth is about 670 to 730~~ [[~~cents~~]] ~~according~~ to [[~~Margo Schulter~~]]~~'s theory of interval regions. Another common range is the stricter range from 686 to 720{{c}}, which generates a diatonic scale~~.

Functionally, a perfect fifth 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. Depending on the specific tuning, it ranges from 686 to 720{{cent}} ([[7edo|4\7]] to [[5edo|3\5]]).

This article covers intervals from 660 to 750{{c}}, but intervals between 650 and 660 cents have been "grandfathered in" due to the fact that superfourths and subfifths were not originally given their own articles.

@@ Line 1: / Line 1: @@
 {{About|the [[interval region]]|the just perfect fifth|3/2}}
 {{Wikipedia}}
-A '''perfect fifth (P5)''' 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. Depending on the specific tuning, it ranges from 686 to 720{{cent}} ([[7edo|4\7]] to [[5edo|3\5]]).
+A '''perfect fifth (P5)''', as a concrete [[interval region]], is typically near 700{{c}} in size, distinct from semidiminished fifths of rougly 650{{c}}. A rough tuning range for the perfect fifth is about 670 to 730 [[cents]] according to [[Margo Schulter]]'s theory of interval regions. Another common range is the stricter range from 686 to 720{{c}}, which generates a diatonic scale.
-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 4\7 and [[24edo|14\24]] (precisely four steps of the diatonic scale and seven steps of the chromatic scale). 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.
-As a concrete [[interval region]], it is typically near 700{{c}} in size, distinct from semidiminished fifths of rougly 650{{c}}. A rough tuning range for the perfect fifth is about 670 to 730 [[cents]] according to [[Margo Schulter]]'s theory of interval regions. Another common range is the stricter range from 686 to 720{{c}}, which generates a diatonic scale.
+Functionally, a perfect fifth 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. Depending on the specific tuning, it ranges from 686 to 720{{cent}} ([[7edo|4\7]] to [[5edo|3\5]]).
 This article covers intervals from 660 to 750{{c}}, but intervals between 650 and 660 cents have been "grandfathered in" due to the fact that superfourths and subfifths were not originally given their own articles.