Interval of equivalence: Difference between revisions

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If a [[periodic scale]] has an equave, the equave is typically the same as the [[period]] or a multiple thereof.

== Octave equivalence ==

The octave is usually called the '''interval of equivalence''', because tones separated by this interval are perceived as having the same [[pitch class]] despite their different absolute pitches. This equivalence is so strong that in most musical notation systems, notes separated by octaves share the same name. For the same reason, most [[scale]]s repeat at the octave.

The perception of octave equivalence appears to have both biological and cultural components.

Studies have shown that various non-human animals, including rhesus monkeys and rats, experience octave equivalence to a certain extent.<ref>Hoeschele M. [https://doi.org/10.3819/CCBR.2017.120002 ''Animal Pitch Perception: Melodies and Harmonies'']. Comp Cogn Behav Rev. 2017</ref>

However, the degree of octave equivalence perception varies across cultures, particularly in those with non-Western musical traditions.<ref>Jacoby, Nori et al. [https://doi.org/10.1016/j.cub.2019.08.020 ''Universal and Non-universal Features of Musical Pitch Perception Revealed by Singing'']. Current Biology, 2019.</ref>

When a different interval (such as the [[tritave]]) is used as the interval of equivalence, it is referred to as an [[equave]] or "formal octave".

== Etymology ==

@@ Line 9: / Line 9: @@
 If a [[periodic scale]] has an equave, the equave is typically the same as the [[period]] or a multiple thereof.
+== Octave equivalence ==
+The octave is usually called the '''interval of equivalence''', because tones separated by this interval are perceived as having the same [[pitch class]] despite their different absolute pitches. This equivalence is so strong that in most musical notation systems, notes separated by octaves share the same name. For the same reason, most [[scale]]s repeat at the octave.
+The perception of octave equivalence appears to have both biological and cultural components.
+Studies have shown that various non-human animals, including rhesus monkeys and rats, experience octave equivalence to a certain extent.<ref>Hoeschele M. [https://doi.org/10.3819/CCBR.2017.120002 ''Animal Pitch Perception: Melodies and Harmonies'']. Comp Cogn Behav Rev. 2017</ref>
+However, the degree of octave equivalence perception varies across cultures, particularly in those with non-Western musical traditions.<ref>Jacoby, Nori et al. [https://doi.org/10.1016/j.cub.2019.08.020 ''Universal and Non-universal Features of Musical Pitch Perception Revealed by Singing'']. Current Biology, 2019.</ref>
+When a different interval (such as the [[tritave]]) is used as the interval of equivalence, it is referred to as an [[equave]] or "formal octave".
 == Etymology ==