Interval of equivalence: Difference between revisions

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~~In a [[periodic scale]], the~~ '''equave''' (/ˈiːkwɪv/ ''EE-kwiv'' or /ˈiːkwəv/ ''EE-kwəv''), also called '''interval of equivalence''', '''equivalence interval''', '''formal octave'''<ref>Op de Coul, E.F. [https://www.huygens-fokker.org/scala/help.htm Scala help.]</ref> or '''pseudo-octave'''<ref>[https://help.ableton.com/hc/en-us/articles/10998372840220-ASCL-Specification ASCL Specification]. Ableton.</ref><ref group="note">The term ''pseudo-octave'' generally designates any kind of equave, although it is sometimes used specifically to designate a [[stretched tuning|stretched or compressed octave]].</ref>, is the interval such that pitches separated by it are considered [[equivalent]] and are elements of the same [[pitch class]].

The '''equave''' (/ˈiːkwɪv/ ''EE-kwiv'' or /ˈiːkwəv/ ''EE-kwəv''), also called '''interval of equivalence''', '''equivalence interval''', '''formal octave'''<ref>Op de Coul, E.F. [https://www.huygens-fokker.org/scala/help.htm Scala help.]</ref> or '''pseudo-octave'''<ref>[https://help.ableton.com/hc/en-us/articles/10998372840220-ASCL-Specification ASCL Specification]. Ableton.</ref><ref group="note">The term ''pseudo-octave'' generally designates any kind of equave, although it is sometimes used specifically to designate a [[stretched tuning|stretched or compressed octave]].</ref>, is the interval such that pitches separated by it are considered [[equivalent]] and are elements of the same [[pitch class]].

~~The~~ equave ~~of a scale~~ is ~~generally~~ the same as ~~its~~ [[period]] or a multiple ~~of its [[period]]~~.

Not all [[periodic scale]]s have equaves, but if they do, the equave is typically the same as the [[period]] or a multiple thereof.

== Etymology ==

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== Examples ==

* In octave-~~equivalent~~ scales, the equave is [[2/1]].

* In octave-repeating scales, the equave is typically [[2/1]].

* In [[~~Bohlen-Pierce~~]], the equave is [[3/1]].

* In [[Bohlen–Pierce]], the equave may be taken as [[3/1]].

* In [[~~EDF|~~edf]]s, the equave is [[3/2]].

* In [[edf]]s, the equave may be taken as [[3/2]].

== See also ==

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 }}
 {{Wikipedia|Pseudo-octave}}
-In a [[periodic scale]], the '''equave''' (/ˈiːkwɪv/ ''EE-kwiv'' or /ˈiːkwəv/ ''EE-kwəv''), also called '''interval of equivalence''', '''equivalence interval''', '''formal octave'''<ref>Op de Coul, E.F. [https://www.huygens-fokker.org/scala/help.htm Scala help.]</ref> or '''pseudo-octave'''<ref>[https://help.ableton.com/hc/en-us/articles/10998372840220-ASCL-Specification ASCL Specification]. Ableton.</ref><ref group="note">The term ''pseudo-octave'' generally designates any kind of equave, although it is sometimes used specifically to designate a [[stretched tuning|stretched or compressed octave]].</ref>, is the interval such that pitches separated by it are considered [[equivalent]] and are elements of the same [[pitch class]].
+The '''equave''' (/ˈiːkwɪv/ ''EE-kwiv'' or /ˈiːkwəv/ ''EE-kwəv''), also called '''interval of equivalence''', '''equivalence interval''', '''formal octave'''<ref>Op de Coul, E.F. [https://www.huygens-fokker.org/scala/help.htm Scala help.]</ref> or '''pseudo-octave'''<ref>[https://help.ableton.com/hc/en-us/articles/10998372840220-ASCL-Specification ASCL Specification]. Ableton.</ref><ref group="note">The term ''pseudo-octave'' generally designates any kind of equave, although it is sometimes used specifically to designate a [[stretched tuning|stretched or compressed octave]].</ref>, is the interval such that pitches separated by it are considered [[equivalent]] and are elements of the same [[pitch class]].
-The equave of a scale is generally the same as its [[period]] or a multiple of its [[period]].
+Not all [[periodic scale]]s have equaves, but if they do, the equave is typically the same as the [[period]] or a multiple thereof.
 == Etymology ==
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 == Examples ==
-* In octave-equivalent scales, the equave is [[2/1]].
+* In octave-repeating scales, the equave is typically [[2/1]].
-* In [[Bohlen-Pierce]], the equave is [[3/1]].
+* In [[Bohlen–Pierce]], the equave may be taken as [[3/1]].
-* In [[EDF|edf]]s, the equave is [[3/2]].
+* In [[edf]]s, the equave may be taken as [[3/2]].
 == See also ==