Exploring Musical Spaces : A Synthesis of Mathematical Approaches

Julian Hook

ISBN 10: 0190246014 / ISBN 13: 9780190246013

Editore: Oxford University Press, USA, 2022

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Codice articolo 9780190246013

Dati bibliografici

• Titolo: Exploring Musical Spaces : A Synthesis of Mathematical Approaches
• Editore: Oxford University Press, USA
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 0190246014
• ISBN 13: 9780190246013
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 260 L x 183 A x 41 P (millimetri) 260 millimetri di larghezza per 183 millimetri di altezza per 41 millimetri di profondità
• Peso: 1457 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.