Perfect fourth: Difference between revisions

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A '''perfect fourth (P4)''' is ~~an interval that spans three 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 480 to 514{{~~cent~~}} ~~([[5edo|2\5]] to [[7edo|3\7]])~~.

A '''perfect fourth (P4)''', as a concrete [[interval region]], is typically near 500{{c}} in size, distinct from the [[semiaugmented fourth]] of roughly 550{{c}}. A rough tuning range for the perfect fourth is about 470 to 530{{c}} according to [[Margo Schulter]]'s theory of interval regions. Another common range is the stricter range from 480 to 514{{c}}, which generates a diatonic scale.

In [[just intonation]], the just perfect fourth is [[4/3]]. Other intervals are also classified as perfect fourths, sometimes called '''wolf fourths''' or '''imperfect fourths''', if they are reasonably mapped to ~~3\7 and [[24edo|10\24]] (precisely~~ three steps of the diatonic scale and five steps of the chromatic scale~~). The use of 24edo's 10\24 as the mapping criteria here rather than [[12edo]]'s 5\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]~~.

In [[just intonation]], the just perfect fourth is [[4/3]]. Other intervals are also classified as perfect fourths, sometimes called '''wolf fourths''' or '''imperfect fourths''', if they are reasonably mapped to three steps of the diatonic scale and five steps of the chromatic scale.

As a ~~concrete [[~~interval ~~region]]~~, it ~~is typically near 500~~{{c}} ~~in size, distinct from the~~ [[~~semiaugmented fourth~~]] ~~of roughly 550{{c}}. A rough tuning range for the perfect fourth is about 470 to 530{{c}} according~~ to [[~~Margo Schulter~~]]~~'s theory of interval regions. Another common range is the stricter range from 480 to 514{{c}}, which generates a diatonic scale~~.

In the diatonic scale, a perfect fourth is an interval that spans three steps with a perfect quality, i.e. the quality that exists in all but one modes. Depending on the specific tuning, it ranges from 480 to 514{{cent}} ([[5edo|2\5]] to [[7edo|3\7]]).

This article covers intervals from 450 to 540{{c}}, but intervals between 540 and 550 cents have been "grandfathered in" due to the fact that superfourths and subfifths were not originally given their own articles.

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 {{About|the [[interval region]]|the just perfect fourth|4/3}}
 {{Wikipedia}}
-A '''perfect fourth (P4)''' is an interval that spans three 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 480 to 514{{cent}} ([[5edo|2\5]] to [[7edo|3\7]]).
+A '''perfect fourth (P4)''', as a concrete [[interval region]], is typically near 500{{c}} in size, distinct from the [[semiaugmented fourth]] of roughly 550{{c}}. A rough tuning range for the perfect fourth is about 470 to 530{{c}} according to [[Margo Schulter]]'s theory of interval regions. Another common range is the stricter range from 480 to 514{{c}}, which generates a diatonic scale.
-In [[just intonation]], the just perfect fourth is [[4/3]]. Other intervals are also classified as perfect fourths, sometimes called '''wolf fourths''' or '''imperfect fourths''', if they are reasonably mapped to 3\7 and [[24edo|10\24]] (precisely three steps of the diatonic scale and five steps of the chromatic scale). The use of 24edo's 10\24 as the mapping criteria here rather than [[12edo]]'s 5\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].
+In [[just intonation]], the just perfect fourth is [[4/3]]. Other intervals are also classified as perfect fourths, sometimes called '''wolf fourths''' or '''imperfect fourths''', if they are reasonably mapped to three steps of the diatonic scale and five steps of the chromatic scale.
-As a concrete [[interval region]], it is typically near 500{{c}} in size, distinct from the [[semiaugmented fourth]] of roughly 550{{c}}. A rough tuning range for the perfect fourth is about 470 to 530{{c}} according to [[Margo Schulter]]'s theory of interval regions. Another common range is the stricter range from 480 to 514{{c}}, which generates a diatonic scale.
+In the diatonic scale, a perfect fourth is an interval that spans three steps with a perfect quality, i.e. the quality that exists in all but one modes. Depending on the specific tuning, it ranges from 480 to 514{{cent}} ([[5edo|2\5]] to [[7edo|3\7]]).
 This article covers intervals from 450 to 540{{c}}, but intervals between 540 and 550 cents have been "grandfathered in" due to the fact that superfourths and subfifths were not originally given their own articles.