transposition and inversion

9 examples (0.03 sec)
  • The basic operations that may be performed on a set are transposition and inversion.
  • By applying simple operations such as transposition and inversion, one can discover deep structures in the music.
  • For example, musicians use the terms transposition and inversion where mathematicians would use translation and reflection.
  • Operations such as transposition and inversion are called isometries because they preserve the intervals between tones in a set.
  • Since transposition and inversion are isometries of pitch-class space, they preserve the intervallic structure of a set, and hence its musical character.
  • Operations on ordered sequences of pitch classes also include transposition and inversion, as well as retrograde and rotation.
  • Transposition and inversion can be represented as elementary arithmetic operations.
  • This technique emphasised the role on forming the chromatic aggregate through the transposition and inversion of three-note chords (trichords).
  • The number of distinct sets in a type is 24 (the total number of operations, transposition and inversion, for n = 0 through 11) divided by the degree of symmetry of T n /T n I type.