Download PDF by Dmitri Tymoczko: A Geometry of Music: Harmony and Counterpoint in the

By Dmitri Tymoczko

How is the Beatles' "Help!" just like Stravinsky's "Dance of the Adolescents?" How does Radiohead's "Just" relate to the improvisations of invoice Evans? and the way do Chopin's works take advantage of the non-Euclidean geometry of musical chords?

In this groundbreaking paintings, writer Dmitri Tymoczko describes a brand new framework for pondering track that emphasizes the commonalities between types from medieval polyphony to modern rock. Tymoczko identifies 5 uncomplicated musical positive factors that together give a contribution to the feel of tonality, and indicates how those beneficial properties recur in the course of the background of Western track. within the strategy he sheds new mild on an age-old query: what makes song sound good?

A Geometry of Music presents an obtainable advent to Tymoczko's innovative geometrical method of track idea. The booklet indicates how you can build basic diagrams representing relationships between wide-spread chords and scales, giving readers the instruments to translate among the musical and visible geographical regions and revealing unbelievable levels of constitution in differently hard-to-understand pieces.

Tymoczko makes use of this theoretical starting place to retell the heritage of Western song from the 11th century to the current day. Arguing that conventional histories concentration too narrowly at the "common perform" interval from 1680-1850, he proposes as an alternative that Western song contains a longer universal perform stretching from the overdue heart a while to the current. He discusses a number of accepted items through a variety of composers, from Bach to the Beatles, Mozart to Miles Davis, and lots of in between.

A Geometry of Music is available to a number of readers, from undergraduate tune majors to scientists and mathematicians with an curiosity in tune. Defining its phrases alongside the way in which, it presupposes no particular mathematical heritage and just a uncomplicated familiarity with Western song idea. The e-book additionally includes workouts designed to augment and expand readers' realizing, in addition to a sequence of appendices that discover the technical info of this interesting new theory.

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A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory) by Dmitri Tymoczko

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