Interval of equivalence: Difference between revisions
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Clarify. +9/4 as a possible equave for edfs |
deformalization (not quite, but updated "formal octave" to reflect use on discord) |
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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 | 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><ref name=":0" group="note" />or '''pseudo-octave'''<ref>[https://help.ableton.com/hc/en-us/articles/10998372840220-ASCL-Specification ASCL Specification]. Ableton.</ref><ref group="note" name=":0">The terms ''formal octave'' and ''pseudo-octave'' are often used specifically to designate a [[Stretched tuning|stretched or compressed octave]], but they may more generally designate any kind of equave,</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. | If a [[periodic scale]] has an equave, the equave is typically the same as the [[period]] or a multiple thereof. | ||
Revision as of 23:34, 7 April 2025
The equave (/ˈiːkwɪv/ EE-kwiv or /ˈiːkwəv/ EE-kwəv), also called interval of equivalence, equivalence interval, formal octave[1][note 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
- ↑ 1.0 1.1 The terms formal octave and pseudo-octave are often used specifically to designate a stretched or compressed octave, but they may more generally designate any kind of equave,
References
- ↑ Op de Coul, E.F. Scala help.
- ↑ ASCL Specification. Ableton.