Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to

There is growing recognition and understanding of music’s fundamentally spatial natures, with significances of space found both in the immediacy of musical pr

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 is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as

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