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:
“Creative force, like a musical composer, goes on unweariedly repeating a simple air or theme, now high, now low, in solo, in chorus, ten thousand times reverberated, till it fills earth and heaven with the chant.”
—Ralph Waldo Emerson (1803–1882)
“I think it better that in times like these
A poet’s mouth be silent, for in truth
We have no gift to set a statesman right.”
—William Butler Yeats (1865–1939)
“Lucretius
Sings his great theory of natural origins and of wise conduct; Plato
smiling carves dreams, bright cells
Of incorruptible wax to hive the Greek honey.”
—Robinson Jeffers (1887–1962)