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.

There is growing recognition and understanding of music’s fundamentally spatial natures, with significances of space found both in the immediacy of musical practices and in connection to broader identities and ideas around music. Whereas previous publications have looked at connections between music and space through singular lenses (such as how they are linked to ethnic identities or how musical images of a city are constructed), this book sets out to explore intersections between multiple scales and kinds of musical spaces. It complements the investigation of broader power structures and place-based identities by a detailed focus on the moments of music-making and musical environments, revealing the mutual shaping of these levels. The book overcomes a Eurocentric focus on a typically narrow range of musics (especially European and North American classical and popular forms) with case studies on a diverse set of genres and global contexts, inspiring a range of ethnographic, text-based, historical, and practice-based approaches.

In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.

From Grammy-winning musical icon and legendary bassist Victor L. Wooten comes an inspiring parable of music, life, and the difference between playing all the right notes…and feeling them. The Music Lesson is the story of a struggling young musician who wanted music to be his life, and who wanted his life to be great. Then, from nowhere it seemed, a teacher arrived. Part musical genius, part philosopher, part eccentric wise man, the teacher would guide the young musician on a spiritual journey, and teach him that the gifts we get from music mirror those from life, and every movement, phrase, and chord has its own meaning...All you have to do is find the song inside. “The best book on music (and its connection to the mystic laws of life) that I've ever read. I learned so much on every level.”—Multiple Grammy Award–winning saxophonist Michael Brecker

Generalized Musical Intervals and Transformations is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement.

Body and space refer to vital and interrelated dimensions in the experience of sounds and music. Sounds have an overwhelming impact on feelings of bodily presence and inform us about the space we experience. Even in situations where visual information is artificial or blurred, such as in virtual environments or certain genres of film and computer games, sounds may shape our perceptions and lead to surprising new experiences. This book discusses recent developments in a range of interdisciplinary fields, taking into account the rapidly changing ways of experiencing sounds and music, the consequences for how we engage with sonic events in daily life and the technological advancements that offer insights into state-of-the-art methods and future perspectives. Topics range from the pleasures of being locked into the beat of the music, perception–action coupling and bodily resonance, and affordances of musical instruments, to neural processing and cross-modal experiences of space and pitch. Applications of these findings are discussed for movement sonification, room acoustics, networked performance, and for the spatial coordination of movements in dance, computer gaming and interactive artistic installations.

Music at Hand shows how sound, action, and perception are connected in instrumental performance, asking how this integration affects listening, improvisation, and composition. Traversing disciplinary boundaries and diverse musical styles, this innovative book analyzes forms of musical experience that are both embodied and conditioned by technology.