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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A Geometry of Music provides an accessible introduction to Tymoczko’s revolutionary geometrical approach to music theory.

Secondly, A Geometry of Music is not a book about geometry; it is a book about music. From Wikipedia, the free encyclopedia. Scale, macroharmony, and centricity are independent.

A Geometry of Music is accessible to gemetry range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music.

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

Will Watson rated it it was amazing Apr 12, The second part of the book uses these tools to analyze pieces from the Middle Ages to the present. Nathan rated it it was amazing Jul 29, Libro da corto circuito mentale, mi ha costretto a rivedere alcuni concetti matematici sepolti o non chiari e allo stesso tempo, nozioni di composizione e analisi.

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Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory.

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. It is only a small step from compositional strategies to pf pronouncements about style: 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.


This document and all portions thereof are protected by U. While it does show a statistical preference for chord connections of the sorts Tymoczko describes, the table p. The geometric model that takes pride of place in the title is a monumental achievement in its own right, and is brought to bear revealingly on fundamental aspects of harmony, voice leading, consonance, tonality, geometgy style, aptly illustrated through hundreds of figures and musical examples in a wide range of styles.

Dmitri Tymoczko

Anyone who finds diagrams like the pitch-class circle, the circle of fifths, or the neo-Riemannian Tonnetz useful for visualizing aspects of musical structure should, upon learning to navigate the OPTIC spaces, come to appreciate the varied perspectives and novel musical insights that these spaces provide. Victor Tittle rated it really liked it Jan 26, Unfortunately, this was not the music I had come to college wanting to understand. Though AGOM is in many ways meticulously documented—Tymoczko is generous with citations of opinions that differ from his muzic, and the bibliography fills ten small-print pages—it occasionally gives the impression of disowning its geomehry heritage, and therefore perhaps of being even more iconoclastic than it actually is.

Tymoczko identifies five basic musical features that jointly contribute to the sense of tonality, and shows how these features recur throughout the history of Western music. Mahler’s Symphonic Sonatas Seth Monahan. Harmony and counterpoint constrain each other. Academic Skip to main content. Ben Harris rated it really liked it Jun 25, If you like books and love to build cool products, we may be looking for you.

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Dmitri Tymoczko – Wikipedia

There are no discussion topics on this book yet. As such, the OPTIC spaces use sophisticated techniques from contemporary mathematics to pull together many threads from musical scholarship of the last half-century, including set theory, scale theory, neo-Riemannian theory, and an assortment of work on voice leading and geometric representations.

Nov 17, Steto Scopius rated it it was amazing. One can skim the terminology of the early theoretical writing and still comprehend the latter analysis and application.

Harmony and Counterpoint in the Extended Common Practice. It brings to consciousness procedures that composers of the past have used intuitively.

After being asked to leave the philosophy D.

He discusses a host of familiar pieces by a wide range of composers, from Bach to the Beatles, Mozart to Miles Davis, and many in between.

Some study questions, problems, and activities. In the process he sheds new light on an age-old question: Homogeneous, Isotropic Turbulence W.

Interviewed by Frank J. Readers looking for coverage of the OPTIC spaces in their full generality still have no alternative to the technical presentation in Science.