Octave transposition seems a confusing, since transposition in music
usually implies that the passage is to be played in a different key.
Octave displacement does not change the key.


According to Harvard dict. of music 4th ed.:

Transposition. the rewriting or performance of music at a pitch other than the original one.

It does not imply change of key in all contexts, keys have meaning only in tonal music anyway.

--AT


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