Music and Mathematics - Connections To Set Theory

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:

    Growing up human is uniquely a matter of social relations rather than biology. What we learn from connections within the family takes the place of instincts that program the behavior of animals; which raises the question, how good are these connections?
    Elizabeth Janeway (b. 1913)

    From too much love of living,
    From hope and fear set free,
    We thank with brief thanksgiving
    Whatever gods may be
    That no life lives for ever;
    That dead men rise up never;
    That even the weariest river
    Winds somewhere safe to sea.
    —A.C. (Algernon Charles)

    The theory of truth is a series of truisms.
    —J.L. (John Langshaw)