Pseudo-octave

A pseudo-octave is a interval whose frequency ratio is not 2:1, the definition of an octave, but is treated in some way or ways equivalent to this ratio. One example being the stretched octave: 2.1:1, which sounds out of tune played with harmonic tones, but sounds strange but in tune when played with tones whose harmonics are stretched equivalently, while the 2:1 octave then sounds out of tune. The octaves of Balinese gamelans are never tuned 2:1, but instead are stretched or compressed in a consistent manner throughout the range of each individual gamelan. Another example is the tritave of the Bohlen-Pierce scale.

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