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:
“There was something refreshingly and wildly musical to my ears in the very name of the white man’s canoe, reminding me of Charlevoix and Canadian Voyageurs. The batteau is a sort of mongrel between the canoe and the boat, a fur-trader’s boat.”
—Henry David Thoreau (1817–1862)
“... the writer is initially set going by literature more than by life.”
—Flannery O’Connor (1925–1964)
“... the first reason for psychology’s failure to understand what people are and how they act, is that clinicians and psychiatrists, who are generally the theoreticians on these matters, have essentially made up myths without any evidence to support them; the second reason for psychology’s failure is that personality theory has looked for inner traits when it should have been looking for social context.”
—Naomi Weisstein (b. 1939)