Musical Set Theory
In musical set theory inversion may be usefully thought of as the compound operation transpositional inversion, which is the same sense of inversion as in the Inverted melodies section above, with transposition carried out after inversion. Pitch inversion by an ordered pitch interval may be defined as:
which equals
First invert the pitch or pitches, x = −x, then transpose, −x + n.
Pitch class inversion by a pitch class interval may be defined as:
Inversion about a pitch axis is a compound operation much like set theory's transpositional inversion, however in pitch axis inversion the transposition may be chromatic or diatonic transposition.
Read more about this topic: Inversion (music)
Famous quotes containing the words musical, set and/or theory:
“That vast moth-eaten musical brocade
Created to pretend we never die ...”
—Philip Larkin (1922–1986)
“Mothers are not the nameless, faceless stereotypes who appear once a year on a greeting card with their virtues set to prose, but women who have been dealt a hand for life and play each card one at a time the best way they know how. No mother is all good or all bad, all laughing or all serious, all loving or all angry. Ambivalence rushes through their veins.”
—Erma Bombeck (20th century)
“The human species, according to the best theory I can form of it, is composed of two distinct races, the men who borrow and the men who lend.”
—Charles Lamb (1775–1834)