A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice (Oxford Studies in Music Theory)

Tymoczko, Dmitri

Published by Oxford University Press
ISBN 10: 0195336674 / ISBN 13: 9780195336672
Used / Hardcover / Quantity Available: 0
Available From More Booksellers
View all  copies of this book

About the Book

We're sorry; this specific copy is no longer available. AbeBooks has millions of books. We've listed similar copies below.

Description:

0195336674 BRAND-NEW, Unread Copy in Perfect Condition. FAST FedEx shipping (you'll receive your order within 1-5 business days after shipping in most cases*), this helps to ensure your order arrives in perfect condition. PLEASE NOTE: FedEx does not generally deliver to PO Boxes or APO addresses, so please be sure to give us a physical street address to deliver to; also, unfortunately, we cannot ship this item to Alaska or Hawaii. THANKS! *(this applies to domestic shipments within the continental US - other destinations may take longer). Bookseller Inventory #

About this title:

Book ratings provided by GoodReads:
4.22 avg rating
(54 ratings)

Review:

Product Description
How is the Beatles' "Help!" similar to Stravinsky's "Dance of the Adolescents?" How does Radiohead's "Just" relate to the improvisations of Bill Evans? And how do Chopin's works exploit the non-Euclidean geometry of musical chords?

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. 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. In the process he sheds new light on an age-old question: what makes music sound good?

A Geometry of Music provides an accessible introduction to Tymoczko's revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing relationships among familiar chords and scales, giving readers the tools to translate between the musical and visual realms and revealing surprising degrees of structure in otherwise hard-to-understand pieces.

Tymoczko uses this theoretical foundation to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the "common practice" period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. 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.

A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers' understanding, along with a series of appendices that explore the technical details of this exciting new theory.

Author Dmitri Tymoczko

Amazon Exclusive: A Conversation Between Dmitri Tymoczko, Author of The Geometry of Music, and Suzanne Ryan, Music Editor at Oxford University Press

Suzanne Ryan: Tell us about the book.

Dmitri Tymoczko: Well, I start with five well-known musical features that contribute to tonality and musical coherence. The book's basic claim is that these five features constrain each other in unexpected ways, so that musicians cannot freely pick and choose among them: if you want harmonic and melodic coherence, for example, there are only a few options at your disposal. It follows that (broadly) tonal music, rather than being one of many workable musical systems, is much closer to being a unique solution. Instead of a million habitable musical planets, each accessible via a short rocket flight, it may be that there are relatively few fertile musical worlds.The first half of the book argues for this claim in terms that I hope are accessible to readers with only basic musical and mathematical knowledge. The second half uses the tools to examine pieces spanning the entire history of Western notated music.

Ryan: One of the unusual features of the book is the use of non-Euclidean geometry. Is this a metaphor? Did you just draw some arbitrary pictures?

Tymoczko: No, absolutely not! My goal was to construct geometrical representations in which every conceivable chord is represented, and in which distance corresponds to the total amount of physical effort required to move from one chord to another on an instrument like the piano. (Theorists almost universally agree that this notion of distance is vital to making music.) It turns out that these two simple constraints completely determine a rich collection of geometrical spaces, leaving little or no room for arbitrary personal choices on the part of the theorist. What is surprising is that such simple constraints can generate such interesting geometries, geometries that are rich enough to contain every possible chord in every possible scale, or even in the absolutely continuous musical universe that has no smallest distance.

Ryan: Is that why these ideas have interested people outside of music theory?

Tymoczko: I think so. Though most of my earlier theoretical articles have appeared in specialist music-theory publications, the geometrical approach has proved interesting to a much broader public?to the point where people even seem to want to talk with me about it at cocktail parties.

Ryan: So how does this new geometrical perspective help people understanding music?

Tymoczko: By providing a comprehensive picture of the possibilities confronting composers. Previous composers have navigated through musical space in a fairly intuitive way, sometimes achieving remarkable results, but without any systematic map or guide. These new theoretical tools allow us to understand composers' choices in light of simple diagrams that display the possibilities available to them. This can lead to interesting insights: for instance, in the book I show that the same techniques used to connect chords in Chopin are also used by composers as diverse as Beethoven, Schubert, Jimi Hendrix, Radiohead, Grieg, Janacek, and many others; it also turns out that these techniques play a role in connecting scales, both in traditional modulation and in the more recent music of Debussy, Shostakovich, Steve Reich, and jazz improvisers.

Ryan: And how can your approach contribute to our understanding of music history?

Tymoczko: In the book, I begin at the very dawn of Western notated music, showing that three of my five properties are already in place in the eleventh century. I then leap ahead several hundred years, to about 1450, because that is the time at which the next feature really starts to play a crucial role. (Virtually everyone agrees that the intervening music, while beautiful and interesting, exhibits the same three features as my initial example.) This leads to a discussion of the ways in which classical music, romantic music, impressionism, jazz, and contemporary notated music form a continuous tradition, in which each new style manages to find solutions to problems inherited from its predecessors. In particular, I am very passionate about the idea that impressionism and jazz are actually very close together, and that they constitute a really fundamental advance in musical thinking.

"About this title" may belong to another edition of this title.

Bibliographic Details

Title: A Geometry of Music: Harmony and ...
Publisher: Oxford University Press

Binding: Hardcover
Book Condition: New

Top Search Results from the AbeBooks Marketplace

1.

Tymoczko, Dmitri
Published by Oxford University Press, Incorporated
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Quantity Available: 3
Seller
Textbooksrus UK
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press, Incorporated. Book Condition: Brand New. Dispatch Same Working Day, (Delivery 2-4 business days, Courier For Heavy/Expensive Items) Money Back Guarantee, Prompt Customer Service. Bookseller Inventory # 42036653

More Information About This Seller | Ask Bookseller a Question

Buy New
22.87
Convert Currency

Add to Basket

Shipping: 19
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

Dmitri Tymoczko
Published by Oxford University Press Inc, United States (2011)
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Hardcover Quantity Available: 10
Seller
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press Inc, United States, 2011. Hardback. Book Condition: New. 259 x 183 mm. Language: English . Brand New Book. Most listeners prefer tonal music to atonal music, but what exactly is the difference between them? In this groundbreaking work, author Dmitri 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. Tymoczko creates for the reader a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz. A Geometry of Music provides an accessible introduction to Tymoczko s revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing the relationships among familiar chords and scales. This gives readers the tools to translate between the musical and visual realms, revealing surprising degrees of structure in otherwise hard-to-understand pieces. Tymoczko uses these theoretical ideas to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the common practice period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. Using analysis to make his argument clear, he discusses a host of familiar pieces by Bach, Mozart, Chopin, Debussy, Stravinsky, Shostakovich, Miles Davis, Bill Evans, and others. A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers understanding, along with a series of appendices that explore the technical details of this exciting new theory. Bookseller Inventory # AOP9780195336672

More Information About This Seller | Ask Bookseller a Question

Buy New
26.64
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Tymoczko
Published by Oxford University Press
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Quantity Available: > 20
Seller
INDOO
(Avenel, NJ, U.S.A.)
Rating
[?]

Book Description Oxford University Press. Book Condition: New. Brand New. Bookseller Inventory # 0195336674

More Information About This Seller | Ask Bookseller a Question

Buy New
24.11
Convert Currency

Add to Basket

Shipping: 2.86
Within U.S.A.
Destination, Rates & Speeds

4.

Dmitri Tymoczko
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Quantity Available: 4
Seller
Books_Universe
(Sugarland, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New. US Edition Book. We do not ship to Military Addresses. Fast Shipping with Order Tracking. For Standard Shipping 7-8 business days & Expedite Shipping 4-6 business days, after shipping. Bookseller Inventory # 0195336674-RMX

More Information About This Seller | Ask Bookseller a Question

Buy New
27.03
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

5.

Dmitri Tymoczko
Published by Oxford University Press Inc, United States (2011)
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Hardcover Quantity Available: 10
Seller
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press Inc, United States, 2011. Hardback. Book Condition: New. 259 x 183 mm. Language: English . Brand New Book. Most listeners prefer tonal music to atonal music, but what exactly is the difference between them? In this groundbreaking work, author Dmitri 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. Tymoczko creates for the reader a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz. A Geometry of Music provides an accessible introduction to Tymoczko s revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing the relationships among familiar chords and scales. This gives readers the tools to translate between the musical and visual realms, revealing surprising degrees of structure in otherwise hard-to-understand pieces. Tymoczko uses these theoretical ideas to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the common practice period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. Using analysis to make his argument clear, he discusses a host of familiar pieces by Bach, Mozart, Chopin, Debussy, Stravinsky, Shostakovich, Miles Davis, Bill Evans, and others. A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers understanding, along with a series of appendices that explore the technical details of this exciting new theory. Bookseller Inventory # AOP9780195336672

More Information About This Seller | Ask Bookseller a Question

Buy New
27.54
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Tymoczko, Dmitri
Published by Oxford University Press (2011)
ISBN 10: 0195336674 ISBN 13: 9780195336672
Used Hardcover Quantity Available: 1
Seller
HPB-Dallas
(Dallas, TX, U.S.A.)
Rating
[?]

Book Description Oxford University Press, 2011. Hardcover. Book Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory # mon0000988925

More Information About This Seller | Ask Bookseller a Question

Buy Used
24.34
Convert Currency

Add to Basket

Shipping: 3.25
Within U.S.A.
Destination, Rates & Speeds

7.

Dmitri Tymoczko
Published by Oxford University Press Inc
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Hardcover Quantity Available: 5
Seller
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Oxford University Press Inc. Hardback. Book Condition: new. BRAND NEW, A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice, Dmitri Tymoczko, Most listeners prefer tonal music to atonal music, but what exactly is the difference between them? In this groundbreaking work, author Dmitri 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. Tymoczko creates for the reader a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz. A Geometry of Music provides an accessible introduction to Tymoczko's revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing the relationships among familiar chords and scales. This gives readers the tools to translate between the musical and visual realms, revealing surprising degrees of structure in otherwise hard-to-understand pieces. Tymoczko uses these theoretical ideas to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the "common practice" period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. Using analysis to make his argument clear, he discusses a host of familiar pieces by Bach, Mozart, Chopin, Debussy, Stravinsky, Shostakovich, Miles Davis, Bill Evans, and others. A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers' understanding, along with a series of appendices that explore the technical details of this exciting new theory. Bookseller Inventory # B9780195336672

More Information About This Seller | Ask Bookseller a Question

Buy New
25.56
Convert Currency

Add to Basket

Shipping: 5.94
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Tymoczko, Dmitri
Published by OUP USA (2011)
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Quantity Available: 1
Seller
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description OUP USA, 2011. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # GB-9780195336672

More Information About This Seller | Ask Bookseller a Question

Buy New
26.43
Convert Currency

Add to Basket

Shipping: 9
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Dmitri Tymoczko
Published by Oxford University Press Inc 2011-05-27, New York (2011)
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Hardcover Quantity Available: 1
Seller
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Oxford University Press Inc 2011-05-27, New York, 2011. hardback. Book Condition: New. Bookseller Inventory # 9780195336672

More Information About This Seller | Ask Bookseller a Question

Buy New
28.99
Convert Currency

Add to Basket

Shipping: 4.50
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Tymoczko, Dmitri
ISBN 10: 0195336674 ISBN 13: 9780195336672
New Quantity Available: 5
Seller
GreatBookPrices
(Columbia, MD, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # 11876469-n

More Information About This Seller | Ask Bookseller a Question

Buy New
27.53
Convert Currency

Add to Basket

Shipping: 2.15
Within U.S.A.
Destination, Rates & Speeds

There are 19 more copies of this book

View all search results for this book