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

A Geometry of Music offers an available creation to Tymoczko's progressive geometrical method of tune thought. The publication exhibits the best way to build basic diagrams representing relationships between commonplace chords and scales, giving readers the instruments to translate among the musical and visible geographical regions and revealing dazzling levels of constitution in in a different way hard-to-understand pieces.

Tymoczko makes use of this theoretical origin to retell the background of Western song 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 bunch of universal items by means of a variety of composers, from Bach to the Beatles, Mozart to Miles Davis, and lots of in between.

A Geometry of Music is available to a number readers, from undergraduate tune majors to scientists and mathematicians with an curiosity in tune. Defining its phrases alongside the best way, it presupposes no exact mathematical history and just a uncomplicated familiarity with Western tune conception. The e-book additionally comprises workouts 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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