Perfect fifth (diatonic interval category) - Revision history

FloraC: Redirected page to Perfect fifth

2026-03-30T12:20:42Z

← Older revision		Revision as of 12:20, 30 March 2026
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	~~{{Infobox~~		#redirect [[Perfect fifth]]
	~~\| Title = Diatonic perfect fifth~~
	~~\| Header 1 = MOS \| Data 1 = [[5L 2s]]~~
	~~\| Header 2 = Other names \| Data 2 = Perfect 4-diastep~~
	~~\| Header 3 = Generator span \| Data 3 = +1 generator~~
	~~\| Header 4 = Tuning range \| Data 4 = 686–720{{c}}~~
	~~\| Header 5 = Basic tuning \| Data 5 = 700{{c}}~~
	~~\| Header 6 = Function on root \| Data 6 = Dominant~~
	~~\| Header 7 = Interval regions \| Data 7 = [[Perfect fifth (interval region)\|Perfect fifth]]~~
	~~\| Header 8 = Associated just intervals \| Data 8 = [[3/2]]~~
	~~\| Header 9 = Octave complement \| Data 9 = [[Perfect fourth (diatonic interval category)\|Perfect fourth]]~~
	}}
	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. 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 [[TAMNAMS]], this interval is called the '''perfect 4-diastep'''.~~

	~~== See also ==~~
	* [[Perfect fifth~~]] (disambiguation page)~~

	~~[[Category:Diatonic interval categories~~]]

FloraC at 13:23, 17 April 2025

2025-04-17T13:23:40Z

← Older revision		Revision as of 13:23, 17 April 2025
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	== See also ==		== See also ==
	* [[Perfect fifth]] (disambiguation page)		* [[Perfect fifth]] (disambiguation page)

			[[Category:Diatonic interval categories]]

FloraC: Created page with "{{Infobox | Title = Diatonic perfect fifth | Header 1 = MOS | Data 1 = 5L 2s | Header 2 = Other names | Data 2 = Perfect 4-diastep | Header 3 = Generator span | Data 3 = +1 generator | Header 4 = Tuning range | Data 4 = 686–720{{c}} | Header 5 = Basic tuning | Data 5 = 700{{c}} | Header 6 = Function on root | Data 6 = Dominant | Header 7 = Interval regions | Data 7 = Perfect fifth | Header 8 = Associated just intervals | Dat..."

2025-04-17T13:23:20Z

Created page with "{{Infobox | Title = Diatonic perfect fifth | Header 1 = MOS | Data 1 = 5L 2s | Header 2 = Other names | Data 2 = Perfect 4-diastep | Header 3 = Generator span | Data 3 = +1 generator | Header 4 = Tuning range | Data 4 = 686–720{{c}} | Header 5 = Basic tuning | Data 5 = 700{{c}} | Header 6 = Function on root | Data 6 = Dominant | Header 7 = Interval regions | Data 7 = Perfect fifth | Header 8 = Associated just intervals | Dat..."

New page

{{Infobox
| Title = Diatonic perfect fifth
| Header 1 = MOS | Data 1 = [[5L 2s]]
| Header 2 = Other names | Data 2 = Perfect 4-diastep
| Header 3 = Generator span | Data 3 = +1 generator
| Header 4 = Tuning range | Data 4 = 686–720{{c}}
| Header 5 = Basic tuning | Data 5 = 700{{c}}
| Header 6 = Function on root | Data 6 = Dominant
| Header 7 = Interval regions | Data 7 = [[Perfect fifth (interval region)|Perfect fifth]]
| Header 8 = Associated just intervals | Data 8 = [[3/2]]
| Header 9 = Octave complement | Data 9 = [[Perfect fourth (diatonic interval category)|Perfect fourth]]
}}
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. 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 [[TAMNAMS]], this interval is called the '''perfect 4-diastep'''.

== See also ==
* [[Perfect fifth]] (disambiguation page)