Download A Geometry of Music: Harmony and Counterpoint in the by Dmitri Tymoczko 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 make the most the non-Euclidean geometry of musical chords?

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

A Geometry of Music offers an obtainable creation to Tymoczko's progressive geometrical method of track concept. The publication indicates the best way to build basic diagrams representing relationships between widely used chords and scales, giving readers the instruments to translate among the musical and visible nation-states and revealing dazzling levels of constitution in differently hard-to-understand pieces.

Tymoczko makes use of this theoretical starting place to retell the historical past 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 an alternative that Western track includes a longer universal perform stretching from the overdue center a long time to the current. He discusses a bunch of usual items via quite a lot of composers, from Bach to the Beatles, Mozart to Miles Davis, and lots of in between.

A Geometry of Music is out there to quite a number readers, from undergraduate tune majors to scientists and mathematicians with an curiosity in song. Defining its phrases alongside the best way, it presupposes no particular mathematical historical past and just a uncomplicated familiarity with Western song thought. The ebook additionally includes routines designed to enhance and expand readers' knowing, in addition to a sequence of appendices that discover the technical info of this fascinating new theory.

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