Interval class: Difference between revisions

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''Interval class'' is used in ~~two different~~ ways. ~~One~~, common in academic "set theory", defines it as the distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic"--in [[~~12edo|~~12edo]]--is the tritone (6). This may be criticized on two grounds: it's not a class in the vocabulary of mathematics, and it's less useful than the second definition.

'''Interval class''' is used in the following ways. First, common in academic [[Wikipedia: Set theory (music)|set theory]], defines it as the [[Octave #Octave equivalence|octave-equivalent]] distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic" – in [[12edo]] – is the tritone (6). This may be criticized on two grounds: it is not a class in the vocabulary of mathematics, and it is less useful than the second definition.

The second definition, used for example by Scala, defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps i apart belong. ~~''see also [[Interval_size_measure|interval size measure]], [[interval_measure|interval measure]]''~~

The second definition, used for example by [[Scala]], defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps apart belong.

==~~Links~~==

== See also ==

~~<ul><li>~~[~~http://solomonsmusic.net/setheory.htm#Basic%20Definition http://solomonsmusic.net/setheory.htm#Basic%20Definition]</li><li>~~[~~http://en.wikipedia.org/wiki/Interval_class~~ Interval ~~class~~]~~</li></ul>~~ [[Category:~~interval~~]]

* [[Interval size measure]]

[[Category:~~measure~~]]

[[Category:~~theory~~]]

[[Category:Interval]]

[[Category:Measure]]

[[Category:Theory]]

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-''Interval class'' is used in two different ways. One, common in academic "set theory", defines it as the distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic"--in [[12edo|12edo]]--is the tritone (6). This may be criticized on two grounds: it's not a class in the vocabulary of mathematics, and it's less useful than the second definition.
+{{Wikipedia| Interval class }}
+'''Interval class''' is used in the following ways. First, common in academic [[Wikipedia: Set theory (music)|set theory]], defines it as the [[Octave #Octave equivalence|octave-equivalent]] distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic" – in [[12edo]] – is the tritone (6). This may be criticized on two grounds: it is not a class in the vocabulary of mathematics, and it is less useful than the second definition.
-The second definition, used for example by Scala, defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps i apart belong. ''see also [[Interval_size_measure|interval size measure]], [[interval_measure|interval measure]]''
+The second definition, used for example by [[Scala]], defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps apart belong.
-==Links==
+== See also ==
-<ul><li>[http://solomonsmusic.net/setheory.htm#Basic%20Definition http://solomonsmusic.net/setheory.htm#Basic%20Definition]</li><li>[http://en.wikipedia.org/wiki/Interval_class Interval class]</li></ul>      [[Category:interval]]
+* [[Interval size measure]]
-[[Category:measure]]
-[[Category:theory]]
+[[Category:Interval]]
+[[Category:Measure]]
+[[Category:Theory]]