Interval of equivalence: Difference between revisions
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Equave is also a psychoacoustic concept that doesn't have to follow scale structure |
Clarify. +9/4 as a possible equave for edfs |
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{{Wikipedia|Pseudo-octave}} | {{Wikipedia|Pseudo-octave}} | ||
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 psychoacoustically or formally [[equivalent]] and are elements of the same [[pitch class]]. | ||
If a [[periodic scale]] has an equave, the equave is typically the same as the [[period]] or a multiple thereof. | |||
== Etymology == | == Etymology == | ||
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* In octave-repeating scales, the equave is typically [[2/1]]. | * In octave-repeating scales, the equave is typically [[2/1]]. | ||
* In [[Bohlen–Pierce]], the equave may be taken as [[3/1]]. | * In [[Bohlen–Pierce]], the equave may be taken as [[3/1]]. | ||
* In [[edf]]s, the equave may be taken as [[3/2]]. | * In [[edf]]s, the equave may be taken as [[3/2]] or less commonly [[9/4]]. | ||
== See also == | == See also == | ||
Revision as of 10:21, 22 March 2025
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 psychoacoustically or formally equivalent and are elements of the same pitch class.
If a periodic scale has an equave, 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 or less commonly 9/4.
See also
Notes
- ↑ The term pseudo-octave generally designates any kind of equave, although it is sometimes used specifically to designate a stretched or compressed octave.
References
- ↑ Op de Coul, E.F. Scala help.
- ↑ ASCL Specification. Ableton.