Connections To Set Theory
Musical set theory uses some of the concepts from mathematical set theory to organize musical objects and describe their relationships. To analyze the structure of a piece of (typically atonal) music using musical set theory, one usually starts with a set of tones, which could form motives or chords. By applying simple operations such as transposition and inversion, one can discover deep structures in the music. Operations such as transposition and inversion are called isometries because they preserve the intervals between tones in a set.
Read more about this topic: Music And Mathematics
Famous quotes containing the words connections, set and/or theory:
“Imagination is an almost divine faculty which, without recourse to any philosophical method, immediately perceives everything: the secret and intimate connections between things, correspondences and analogies.”
—Charles Baudelaire (1821–1867)
“There one that ruffled in a manly pose
For all his timid heart, there that slow man,
That meditative man, John Synge, and those
Impetuous men, Shawe-Taylor and Hugh Lane,
Found pride established in humility,
A scene well set and excellent company.”
—William Butler Yeats (1865–1939)
“A theory if you hold it hard enough
And long enough gets rated as a creed....”
—Robert Frost (1874–1963)