Awards

• Winner of Winner, 2023 Wallace Berry Award, Society for Music Theory.

Overview

Full Product Details

Author:   Julian Hook (Associate Professor of Music Theory, Associate Professor of Music Theory, Indiana University)
Publisher:   Oxford University Press Inc
Imprint:   Oxford University Press Inc
Dimensions:   Width: 18.70cm , Height: 3.70cm , Length: 25.60cm
Weight:   1.406kg
ISBN:  

9780190246013

ISBN 10:   0190246014
Pages:   682
Publication Date:   21 December 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface Acknowledgments Part I Foundations of Mathematical Music Theory: Spaces, Sets, Graphs, and Groups Chapter 1: Spaces I: Pitch and Pitch-Class Spaces Chapter 2: Sets, Functions, and Relations Chapter 3: Graphs Chapter 4: Spaces II: Chordal, Tonal, and Serial Spaces Chapter 5: Groups I: Interval Groups and Transformation Groups Part II Transformation Theory: Intervals and Transformations, including Neo-Riemannian Theory Chapter 6: Groups II: Permutations, Isomorphisms, and Other Topics in Group Theory Chapter 7: Intervals Chapter 8: Transformations I: Triadic Transformations Chapter 9: Transformations II: Transformation Graphs and Networks; Serial Transformations Part III Geometric Music Theory: The OPTIC Voice-Leading Spaces Chapter 10: Spaces III: Introduction to Voice-Leading Spaces Chapter 11: Spaces IV: The Geometry of OPTIC Spaces Chapter 12: Distances Part IV Theory of Scales: Diatonic and Beyond Chapter 13: Scales I: Diatonic Spaces Chapter 14: Scales II: Beyond the Diatonic Appendix 1: List of Musical Spaces Appendix 2: List of Sets and Groups References

Reviews

The 'mathy' quality of much recent music theory has long been a barrier to its comprehension. No more. Julian Hook is a master explainer and, thanks to this book, music theorists and interested musicians now have an effective on-ramp not only to understanding but also to deep enjoyment of the rich regularities that can be heard to underpin musical experience. * Joseph Straus, CUNY Graduate Center * Exploring Musical Spaces draws together the most important results in algebraic and geometric music theory of the last fifty years. Julian Hook's treatise, featuring the author's signature clarity and depth of insight, will open this dazzling field to a new generation of scholars. * - Ian Quinn, Yale University *

Author Information

Julian Hook holds PhDs in both mathematics and music theory, as well as graduate degrees in architecture and piano performance. His work involving mathematical approaches to the study of music has appeared primarily in music theory journals but also at conferences of the American Mathematical Society and in the pages of Science. Since 2003 he has taught at Indiana University, where he is a former chair of the music theory department. He is a past president of Music Theory Midwest and was the founding reviews editor of the Journal of Mathematics and Music.

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