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:
“I have no connections here; only gusty collisions,
rootless seedlings forced into bloom, that collapse.
...
I am the Visiting Poet: a real unicorn,
a wind-up plush dodo, a wax museum of the Movement.
People want to push the buttons and see me glow.”
—Marge Piercy (b. 1936)
“What is love itself,
Even though it be the lightest of light love,
But dreams that hurry from beyond the world
To make low laughter more than meat and drink,
Though it but set us sighing?”
—William Butler Yeats (1865–1939)
“Every theory is a self-fulfilling prophecy that orders experience into the framework it provides.”
—Ruth Hubbard (b. 1924)