KEYWORDS: Tymoczko, geometry, chords, voice leading, scales, tonality, some brute facts in Tymoczko’s new book A Geometry of Music (henceforth AGOM). A Geometry of Music has 69 ratings and 6 reviews. Peter said: Tymoczko is an intriguing composer and adept mathematician, so his mix of math and (lots of. Dmitri Tymoczko: A Geometry of Music: Harmony and. Counterpoint in the Extended. Common Practice. Hardcover, , ISBN , pages.

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If you are interested in tonality in music, you must read it, because it describes musc far the most comprehensive theory of what makes tonal music work. It’s good for composers, though, and I enjoyed the intelligent coverage of such a broad range of music.

Vedad FamourZadeh rated it it was amazing Jul 06, In this groundbreaking work, author Dmitri Tymoczko describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval polyphony to contemporary rock. He attended Harvard University gepmetry, studying composition, music theory, and philosophy, and did graduate work in Philosophy at Oxford University as or Rhodes scholar.

Grieg’s “Klokkeklang,” Bell RingingOp. Melodies tend to move by short distances from note to note. Tymoczko uses this theoretical foundation to retell the history of Western music from the eleventh century to the present day.

Tymoczko has also written a free software program, “ChordGeometries,” allowing users to visualize the orbifolds representing musical chords.


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

The strongest aspect of Tymoczko’s book is the case that he gives for voice-leading in the common practice. The interscalar interval matrix.

Quotes from A Geometry of Mus Stravinsky’s “Dance of the Adolescents” Studying movement from one scale to another in an appropriate space provides a new way of thinking about modulation in traditional tonal music a modulation from C major to G major is a move from one seven-note collection to another nearby one5 or of thinking about relationships between different types of scales in the music of Debussy, Shostakovich, or Reich.

The geometry disappears as the book turns more to analysis.

A Geometry of Music

Nov 15, Peter rated it it was amazing. The harmonies in a passage of music, whatever they may be, tend to be structurally similar to one another.

Oxford University Press musuc a department of the University of Oxford. The book shows how to construct simple diagrams representing relationships among familiar chords and scales, gometry readers the tools to translate between the musical and visual realms and revealing surprising degrees of structure in otherwise hard-to-understand pieces.

Archived copy as title All articles with failed verification Articles with failed verification from September CS1 errors: An Essay in the Philosophy of Language. A Geometry of Music provides an accessible introduction to Tymoczko’s revolutionary geometrical approach to music theory.

Dmitri Tymoczko – Wikipedia

Springerpages — The first part of the book explores theoretical questions about how these properties can be combined. To see what your friends thought of this book, please sign up. Tymoczko argues that there is an “extended common practice” linking superficially distinct styles, with jazz being much closer to classical music than many have thought. Want to Read Currently Reading Read.


This a milestone in music theory and it constitutes an unification of many western practices in composition based in geometry. I noticed that at pf a couple of reviewers said that they didn’t really get the math.

In this groundbreaking work, author Dmitri Tymoczko describes a new framework Mhcoffin rated it liked it Aug 20, How is the Beatles’ “Help!

Dmitri Tymoczko

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Ashley Joseph Whitney rated it it was ok Jul 21,