Interval of equivalence: Difference between revisions

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Equave is also a psychoacoustic concept that doesn't have to follow scale structure
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{{Wikipedia|Pseudo-octave}}
{{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 ==
== Etymology ==
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== Examples ==
== 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 ==
== See also ==

Revision as of 11:02, 14 February 2025

English Wikipedia has an article on:

The equave (/ˈiːkwɪv/ EE-kwiv or /ˈiːkwəv/ EE-kwəv), also called interval of equivalence, equivalence interval, formal octave[1] or pseudo-octave[2][note 1], is the interval such that pitches separated by it are considered equivalent and are elements of the same pitch class.

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

Etymology

The term equave was coined by Inthar. It is a portmanteau of equivalence and octave.

Examples

  • In octave-repeating scales, the equave is typically 2/1.
  • In Bohlen–Pierce, the equave may be taken as 3/1.
  • In edfs, the equave may be taken as 3/2.

See also

Notes

  1. The term pseudo-octave generally designates any kind of equave, although it is sometimes used specifically to designate a stretched or compressed octave.

References

  1. Op de Coul, E.F. Scala help.
  2. ASCL Specification. Ableton.