Exploring Musical Spaces: A Synthesis of Mathematical Approaches

Voted 0

ISBN: 9780190246013
Author : Julian Hook
Published: 2022
Publisher: OUP USA
Number of pages: 864
Language: English
Format: Hardback
Format: 263 x 186

Description

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.

Reviews (0)

Write a review

Rate this item

Your name

Your e-mail

Your review

Comment

Selection

Description

Functionality (necessary) cookies

These cookies are essential to the functioning of the website and they cannot be disabled. They do not store any personally identifiable information and are deleted once you leave the website.

Performance Cookies

These cookies are used to measure the use of the website and traffic sources in order to gain information required to improve the functioning of the website. These cookies help us to determine which pages are the most popular and to learn about the users’ browsing habits. To this end we use the Google Analytics statistical engine. We do not disclose any information we have collected. All information gathered is completely anonymous and cannot identify you personally.

Marketing cookies

These third-party cookies are used to display ads personalized to your needs. We use cookies that help us to collect information on your web surfing behaviour and allow us to learn about your interests so that we could display only those ads that are relevant to you. Leave this box unchecked if you do not want us to show you any advertising.