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:
“The connections between and among women are the most feared, the most problematic, and the most potentially transforming force on the planet.”
—Adrienne Rich (b. 1929)
“The business of a novelist is, in my opinion, to create characters first and foremost, and then to set them in the snarl of the human currents of his time, so that there results an accurate permanent record of a phase of human history.”
—John Dos Passos (1896–1970)
“Frankly, these days, without a theory to go with it, I can’t see a painting.”
—Tom Wolfe (b. 1931)