Interval of equivalence: Difference between revisions

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manual undo of earlier section about "tempering equave" which is not really how we use that term
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See also: octave equivalence
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== See also ==
== See also ==
* [[Period]]
* [[Period]]
* [[Octave equivalence]]
* [[Stretched tuning]]
* [[Stretched tuning]]
* [[Equave limit]]
* [[Equave limit]]

Revision as of 21:02, 24 April 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][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. 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

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