Exploring Musical Spaces: A Synthesis of Mathematical Approaches (Oxford Studies in Music Theory) - Hardcover

Hook, Julian

Hardcover

ISBN 10: 0190246014 ISBN 13: 9780190246013

Publisher: OUP USA, 2022

Synopsis

Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models-the first examples of the musical spaces of the book's title-depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.

About this title

About the Author

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.

Edition details

• Publisher: OUP USA
• Publication date: 2022
• Language: English
• ISBN 10: 0190246014
• ISBN 13: 9780190246013
• Binding: Hardcover
• Number of pages: 682