By Dmitri Tymoczko

ISBN-10: 0195336674

ISBN-13: 9780195336672

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 song that emphasizes the commonalities between types from medieval polyphony to modern rock. Tymoczko identifies 5 simple musical gains that together give a contribution to the feel of tonality, and indicates how those positive aspects recur through the historical past of Western tune. within the procedure he sheds new gentle on an age-old query: what makes song sound good?

A Geometry of Music presents an available creation to Tymoczko's innovative geometrical method of track idea. The booklet indicates tips on how to build uncomplicated diagrams representing relationships between generic chords and scales, giving readers the instruments to translate among the musical and visible nation-states and revealing astounding levels of constitution in in a different way hard-to-understand pieces.

Tymoczko makes use of this theoretical beginning to retell the background of Western tune 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 tune contains a longer universal perform stretching from the overdue center a long time to the current. He discusses a number of common 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 offered to a variety of readers, from undergraduate song majors to scientists and mathematicians with an curiosity in tune. Defining its phrases alongside the way in which, it presupposes no precise mathematical heritage and just a easy familiarity with Western track concept. The booklet additionally includes workouts designed to augment and expand readers' realizing, in addition to a sequence of appendices that discover the technical information of this intriguing new theory.

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