Exploring Musical Spaces

Exploring Musical Spaces
Author :
Publisher : Oxford University Press
Total Pages : 681
Release :
ISBN-10 : 9780190246013
ISBN-13 : 0190246014
Rating : 4/5 (13 Downloads)

Book Synopsis Exploring Musical Spaces by : Julian Hook

Download or read book Exploring Musical Spaces written by Julian Hook and published by Oxford University Press. This book was released on 2022-09-08 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Exploring Musical Spaces Related Books

Exploring Musical Spaces
Language: en
Pages: 681
Authors: Julian Hook
Categories:
Type: BOOK - Published: 2022-09-08 - Publisher: Oxford University Press

DOWNLOAD EBOOK

Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to
Musical Spaces
Language: en
Pages: 351
Authors: James Williams
Categories: Science
Type: BOOK - Published: 2021-11-29 - Publisher: CRC Press

DOWNLOAD EBOOK

There is growing recognition and understanding of music’s fundamentally spatial natures, with significances of space found both in the immediacy of musical pr
A Geometry of Music
Language: en
Pages: 469
Authors: Dmitri Tymoczko
Categories: Mathematics
Type: BOOK - Published: 2011-03-21 - Publisher: OUP USA

DOWNLOAD EBOOK

In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities amon
Musical Mathematics
Language: en
Pages: 0
Authors: Cris Forster
Categories: Music
Type: BOOK - Published: 2010-07-14 - Publisher: Chronicle Books

DOWNLOAD EBOOK

Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as
The Act of Musical Composition
Language: en
Pages: 309
Authors: Dave Collins
Categories: Music
Type: BOOK - Published: 2016-04-01 - Publisher: Routledge

DOWNLOAD EBOOK

The study of musical composition has been marked by a didactic, technique-based approach, focusing on the understanding of musical language and grammar -harmony