Interval: Difference between revisions

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In music, ~~the term~~ '''~~interval~~''' is ~~used to characterize the relation between simultaneous or successive tones~~.

An '''interval''' or '''dyad''' (less commonly, '''diad''') is a [[chord]] of two different notes.

~~If the name "~~interval" is ~~taken~~ as ~~a starting point, the term initially aims to determine~~ the [[pitch ~~difference~~]] between ~~the~~ two ~~sound phenomena involved~~. ~~At the same time (~~with ~~otherwise relatively stable~~ [[~~timbre~~]]s) a ~~specific character~~ of the ~~joint sound results from~~ a ~~given distance between the participating tones~~, ~~which~~ is (in ~~classic Western music theory) often graduated between~~ [[~~consonance~~]] ~~and~~ [[dissonance]]).

The main property of an interval is its size, defined as the difference in [[pitch]] between its two notes. Since pitch perception is logarithmic, an interval can be described with a [[ratio|frequency ratio]] or a logarithmic measure of that ratio, such as [[cent]]s. Intervals are usually named after their size, which might explain why some dictionaries define the term ''interval'' as the size itself.

An interval is rational if its ratio is a rational number, and its logarithmic measure is necessarily irrational. Conversely, an interval is irrational if its frequency ratio is an irrational number; in that case, however, its logarithmic measure may or may not be rational. An interval with a rational logarithmic measure is always irrational, but some intervals have both irrational ratios and logarithmic measures.

Another property is [[harmonic entropy]], a measure of concordance, which is usually associated with [[sonance|consonance and dissonance]].

== See also ==

* [[Gallery of just intervals]]

* [[Interval size measure]]

* [[Sonance]]

~~== External links ==~~

* [[Wikipedia: Interval (music)]]

[[Category:Interval| ]]

[[Category:Terms]]

~~[[Category:Interval| ]] ~~

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-In music, the term '''interval''' is used to characterize the relation between simultaneous or successive tones.
+{{Wikipedia|Interval (music)}}
+{{Wikipedia|Dyad (music)}}
+An '''interval''' or '''dyad''' (less commonly, '''diad''') is a [[chord]] of two different notes.
-If the name "interval" is taken as a starting point, the term initially aims to determine the [[pitch difference]] between the two sound phenomena involved. At the same time (with otherwise relatively stable [[timbre]]s) a specific character of the joint sound results from a given distance between the participating tones, which is (in classic Western music theory) often graduated between [[consonance]] and [[dissonance]]).
+The main property of an interval is its size, defined as the difference in [[pitch]] between its two notes. Since pitch perception is logarithmic, an interval can be described with a [[ratio|frequency ratio]] or a logarithmic measure of that ratio, such as [[cent]]s. Intervals are usually named after their size, which might explain why some dictionaries define the term ''interval'' as the size itself.
+An interval is rational if its ratio is a rational number, and its logarithmic measure is necessarily irrational. Conversely, an interval is irrational if its frequency ratio is an irrational number; in that case, however, its logarithmic measure may or may not be rational. An interval with a rational logarithmic measure is always irrational, but some intervals have both irrational ratios and logarithmic measures.
+Another property is [[harmonic entropy]], a measure of concordance, which is usually associated with [[sonance|consonance and dissonance]].
 == See also ==
 * [[Gallery of just intervals]]
 * [[Interval size measure]]
-* [[Sonance]]
-== External links ==
-* [[Wikipedia: Interval (music)]]
+[[Category:Interval| ]] <!-- main article -->
 [[Category:Terms]]
-[[Category:Interval| ]] <!-- main article -->
 {{todo| review }}