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 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 beneficial properties that together give a contribution to the experience of tonality, and exhibits how those good points recur through the historical past of Western tune. within the approach 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 idea. The e-book exhibits tips on how to build basic diagrams representing relationships between well-known chords and scales, giving readers the instruments to translate among the musical and visible nation-states and revealing extraordinary levels of constitution in another way hard-to-understand pieces.

Tymoczko makes use of this theoretical origin to retell the heritage 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 includes a longer universal perform stretching from the overdue center a long time to the current. He discusses a number of primary items by way of 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 more than a few readers, from undergraduate song majors to scientists and mathematicians with an curiosity in track. Defining its phrases alongside the way in which, it presupposes no designated mathematical historical past and just a easy familiarity with Western track idea. The booklet additionally comprises routines designed to enhance and expand readers' figuring out, besides a chain of appendices that discover the technical information of this fascinating new theory.

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