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

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 considering tune that emphasizes the commonalities between types from medieval polyphony to modern rock. Tymoczko identifies 5 easy musical beneficial properties that together give a contribution to the experience of tonality, and exhibits how those positive factors recur during the historical past of Western song. within the procedure he sheds new mild on an age-old query: what makes tune sound good?

A Geometry of Music presents an available advent to Tymoczko's progressive geometrical method of track thought. The e-book exhibits tips to build easy diagrams representing relationships between universal chords and scales, giving readers the instruments to translate among the musical and visible nation-states and revealing stunning levels of constitution in in a different way hard-to-understand pieces.

Tymoczko makes use of this theoretical starting place to retell the historical past 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 an alternative that Western tune includes a longer universal perform stretching from the past due center a while to the current. He discusses a number of commonplace items by means of quite a lot of composers, from Bach to the Beatles, Mozart to Miles Davis, and lots of in between.

A Geometry of Music is available to more than a few readers, from undergraduate tune majors to scientists and mathematicians with an curiosity in track. Defining its phrases alongside the way in which, it presupposes no precise mathematical history and just a simple familiarity with Western tune idea. The ebook additionally comprises workouts designed to augment and expand readers' figuring out, besides a chain of appendices that discover the technical information of this intriguing new theory.

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