Wolf interval: Difference between revisions

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A '''wolf interval''' or '''wolf''' is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses:

# An interval which is technically not what it appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal ~~intepretations~~ – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.

# An interval which is technically not what it appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal interpretations – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.

# An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer [[complexity]] and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the ''impure'' or ''imperfect fifth''. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths.

== See also ==

* [http://tonalsoft.com/enc/w/wolf.aspx Tonalsoft Encyclopedia | ''Wolf'']

[[Category:Terms]]

[[Category:Psychoacoustics]]

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 A '''wolf interval''' or '''wolf''' is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses:
-# An interval which is technically not what it appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal intepretations – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.
+# An interval which is technically not what it appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal interpretations – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.
 # An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer [[complexity]] and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the ''impure'' or ''imperfect fifth''. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths.
+== See also ==
+* [http://tonalsoft.com/enc/w/wolf.aspx Tonalsoft Encyclopedia | ''Wolf'']
 [[Category:Terms]]
 [[Category:Psychoacoustics]]