Interval of equivalence: Difference between revisions
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Add "formal octave" and "pseudo-octave" as alternate terms, add common relationship between equave and period, add precision to "equave" etymology, misc. edits |
Add note about alternate usage of "pseudo-octave" |
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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>, is the interval such that pitches separated by it are considered [[equivalent]] and are elements of the same [[pitch class]]. | 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 of a scale is generally the same as its [[period]] or a multiple of its [[period]]. | The equave of a scale is generally the same as its [[period]] or a multiple of its [[period]]. | ||
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* [[Period]] | * [[Period]] | ||
* [[Stretched tuning]] | * [[Stretched tuning]] | ||
== Notes == | |||
<references group="note"/> | |||
== References == | == References == | ||
Revision as of 05:12, 7 March 2024
In a periodic scale, 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.
The equave of a scale is generally the same as its period or a multiple of its period.
Etymology
The term equave was coined by Inthar. It is a portmanteau of equivalence and octave.
Examples
- In octave-equivalent scales, the equave is 2/1.
- In Bohlen-Pierce, the equave is 3/1.
- In edfs, the equave is 3/2.
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.