A pseudo-octave is an 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 harmonicovertones, but sounds strange but in tune when played with tones whose overtones are stretched equivalently, while the 2:1 octave then sounds out of tune. The octaves of Balinesegamelans 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.
Example Usage of Stretched
breimer: Getting Stretched on the rack - at physio
wilburtino: conch pins and plugs (for Stretched lobes) arrived in the post today, woot!
QuettaJ: Lmfao eww boy u nasty! RT @AandR88: hahaha i Stretched & blew wind & the girl said did u fart...i said yea & went bout my biz hahaha