Get A Geometry of Music: Harmony and Counterpoint in the PDF

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 wondering track that emphasizes the commonalities between types from medieval polyphony to modern rock. Tymoczko identifies 5 uncomplicated musical gains that together give a contribution to the experience of tonality, and indicates how those gains recur during the heritage of Western track. within the method he sheds new gentle on an age-old query: what makes track sound good?

A Geometry of Music presents an available creation to Tymoczko's innovative geometrical method of tune concept. The e-book exhibits how one can build basic diagrams representing relationships between conventional chords and scales, giving readers the instruments to translate among the musical and visible nation-states and revealing superb levels of constitution in differently hard-to-understand pieces.

Tymoczko makes use of this theoretical beginning to retell the background of Western track 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 a substitute that Western song includes a longer universal perform stretching from the past due heart a while to the current. He discusses a number of regular items through quite a lot of composers, from Bach to the Beatles, Mozart to Miles Davis, and plenty of in between.

A Geometry of Music is available to a number of readers, from undergraduate track majors to scientists and mathematicians with an curiosity in song. Defining its phrases alongside the best way, it presupposes no designated mathematical historical past and just a simple familiarity with Western track conception. The publication additionally comprises routines designed to enhance and expand readers' knowing, besides a chain of appendices that discover the technical info of this intriguing 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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