Transposition
Transposition refers to the process, or operation, of moving a collection of notes (pitches or pitch classes) up or down in pitch by a constant interval.
"The shifting of a melody, a harmonic progression or an entire musical piece to another key, while maintaining the same tone structure, i.e. the same succession of whole tones and semitones and remaining melodic intervals."
- Musikalisches Lexicon, 879 (1865), Heinrich
Christoph Koch (trans. Schuijer)