A search for a grammar of music with the aid of generative linguistics. This work, which has become a classic in music theory since its original publication in 1983, models music understanding from the perspective of cognitive science.The point of departure is a search for the grammar of music with the aid of generative linguistics.The theory, which is illustrated with numerous examples from Western classical music, relates the aural surface of a piece to the musical structure unconsciously inferred by the experienced listener. From the viewpoint of traditional music theory, it offers many innovations in notation as well as in the substance of rhythmic and reductional theory.

This book constitutes the thoroughly refereed proceedings of the 8th International Conference on Mathematics and Computation in Music, MCM 2022, held in Atlanta, GA, USA, in June 2022. The 29 full papers and 8 short papers presented were carefully reviewed and selected from 45 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in Mathematical Scale and Rhythm Theory: Combinatorial, Graph Theoretic, Group Theoretic and Transformational Approaches; Categorical and Algebraic Approaches to Music; Algorithms and Modeling for Music and Music-Related Phenomena; Applications of Mathematics to Musical Analysis; Mathematical Techniques and Microtonality

Practical Musicology outlines a theoretical framework for studying a broad range of current musical practices and aims to provoke discussion about key issues in the rapidly expanding area of practical musicology: the study of how music is made. The book explores various forms of practice ranging from performance and composition to listening and dancing, from historically informed performances of Bach in the USA to Indonesian Dubstep or Australian musical theatre, and from Irish traditional music played by French musicians from Toulouse to Brazilian thrash metal or K-Pop. Drawing on neuroscience, cognitive psychology, ecological approaches in anthropology, and the social construction of technology and creativity, Zagorski-Thomas uses a series of case studies and examples to investigate how practice is already being studied and to suggest a principle for how it might continue to develop, based around the assertion that musicking cannot be treated as a culturally or ideologically neutral phenomenon.

Building on the foundation of Lerdahl and Jackendoff's influential A Generative Theory of Tonal Music, this volume presents a multidimensional model of diatonic and chromatic spaces that quantifies listeners' intuitions of the relative distances of pitches, chords, and keys from a given tonic. The model is employed to assign prolongational structure, represent paths through the space, and compute patterns of tension and attraction as musical events unfold, thereby providing a partial basis for understanding musical narration, expectation, and expression. Conceived as both a music-theoretic treatise and a contribution to the cognitive science of music, this book will be of interest to music theorists, musicologists, composers, computer musicians, and cognitive psychologists.

This book offers an overview of the complex world of digital materials for music education and of their possible use in the everyday practice of music teachers. It presents a multidimensional taxonomy of digital materials for music education. Through the taxonomy it is possible to derive a clear framework of the whole field and to perform analysis of the state of art. The book shows the use of this flexible and powerful knowledge tool for reviewing the digital materials in the various domains and dimentions. The book provides researchers and designers with an overview of what has already been designed, proposed and tested in the field. It also offers music teachers a wider perspective of the possibilities connected to current technologies in the field of music education, and it suggests possible interrelationships between research and music education practices.

The Cambridge History of Western Music Theory is the first comprehensive history of Western music theory to be published in the English language. A collaborative project by leading music theorists and historians, the volume traces the rich panorama of music-theoretical thought from the Ancient Greeks to the present day. Recognizing the variety and complexity of music theory as an historical subject, the volume has been organized within a flexible framework. Some chapters are defined chronologically within a restricted historical domain, whilst others are defined conceptually and span longer historical periods. Together the thirty-one chapters present a synthetic overview of the fascinating and complex subject that is historical music theory. Richly enhanced with illustrations, graphics, examples and cross-citations as well as being thoroughly indexed and supplemented by comprehensive bibliographies of the most important primary and secondary literature, this book will be an invaluable resource for students and scholars alike.