This book introduces a theory of music analysis that one can use to explore aspects of segmentation and associative organization in a wide range of repertoire including Western classical music from the Baroque to the present, with potential applications to jazz and popular music, and some non-Western musics. Rather than a methodology, the theory provides analysts with precise language and a broad, flexible conceptual framework through which they can formulate and investigate questions of interest and develop their own interpretations of individual pieces and passages. The theory begins with a basic distinction among three domains of musical experience and discourse about it: the sonic (psychoacoustic); the contextual (or associative, sparked by varying degrees of repetition); and the structural (guided by a specific theory of musical structure or syntax invoked by the analyst). A comprehensive presentation of the theory, with copious musical illustrations, is balanced with close analyses of works by Beethoven, Debussy, Nancarrow, Riley, Feldman, and Morris. Dora A. Hanninen is professor of music theory at the University of Maryland. She received the 2010 Outstanding Publication Award from the Society for Music Theory.

There have been far-reaching changes in the way music theorists and analysts view the nature of their disciplines. Encounters with structuralist and post-structuralist critical theory, and with linguistics and cognitive sciences, have brought the theory and analysis of music into the orbit of important developments in intellectual history. This book presents the work of a group of scholars who, without seeking to impose an explicit redefinition of either theory or analysis, explore the limits of both in this context. Essays on the languages of analysis and theory, and on practical issues such as decidability, ambiguity and metaphor, combine with studies of works by Debussy, Schoenberg, Birtwistle and Boulez, together making a major contribution to an important debate in the growth of musicology.

Arnold Schoenberg's theory of music has been much discussed but his approach to music theory needs a new historical and theoretical assessment in order to provide a clearer understanding of his contributions to music theory and analysis. Norton Dudeque's achievement in this book involves the synthesis of Schoenberg's theoretical ideas from the whole of the composer's working life, including material only published well after his death. The book discusses Schoenberg's rejection of his German music theory heritage and past approaches to music-theory pedagogy, the need for looking at musical structures differently and to avoid aesthetic and stylistic issues. Dudeque provides a unique understanding of the systematization of Schoenberg's tonal-harmonic theory, thematic/motivic-development theory and the links with contemporary and past music theories. The book is complemented by a special section that explores the practical application of the theoretical material already discussed. The focus of this section is on Schoenberg's analytical practice, and the author's response to it. Norton Dudeque therefore provides a comprehensive understanding of Schoenberg's thinking on tonal harmony, motive and form that has hitherto not been attempted.

Popular Music Theory and Analysis: A Research and Information Guide uncovers the wealth of scholarly works dealing with the theory and analysis of popular music. This annotated bibliography is an exhaustive catalog of music-theoretical and musicological works that is searchable by subject, genre, and song title. It will support emerging scholarship and inquiry for future research on popular music.

Robert P. Morgan is one of a small number of music theorists writing in English who treat music theory, and in particular Schenkerian theory, as part of general intellectual life. Morgan‘s writings are renowned within the field of music scholarship: he is the author of the well-known Norton volume Twentieth-Century Music, and of additional books relating to Schenkerian and other theory, analysis and society. This volume of Morgan‘s previously published essays encompasses a broad range of issues, including historical and social issues and is of importance to anyone concerned with modern Western music. His specially written introduction treats his writings as a whole but also provides additional material relating to the articles included in this volume.

Arnold Schoenberg's theory of music has been much discussed but his approach to music theory needs a new historical and theoretical assessment in order to provide a clearer understanding of his contributions to music theory and analysis. Norton Dudeque's achievement in this book involves the synthesis of Schoenberg's theoretical ideas from the whole of the composer's working life, including material only published well after his death. The book discusses Schoenberg's rejection of his German music theory heritage and past approaches to music-theory pedagogy, the need for looking at musical structures differently and to avoid aesthetic and stylistic issues. Dudeque provides a unique understanding of the systematization of Schoenberg's tonal-harmonic theory, thematic/motivic-development theory and the links with contemporary and past music theories. The book is complemented by a special section that explores the practical application of the theoretical material already discussed. The focus of this section is on Schoenberg's analytical practice, and the author's response to it. Norton Dudeque therefore provides a comprehensive understanding of Schoenberg's thinking on tonal harmony, motive and form that has hitherto not been attempted.

This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification. Contributions address topics of voice leading, Tonnetze (maps of notes and chords), and automatic music classification. Focusing on some geometrical and topological aspects of the representation and formalisation of musical structures and processes, the book covers topological features of voice-leading geometries in the most recent advances in this mathematical approach to representing how chords are connected through the motion of voices, leading to analytically useful simplified models of high-dimensional spaces; It generalizes the idea of a Tonnetz, a geometrical map of tones or chords, and shows how topological aspects of these maps can correspond to many concepts from music theory. The resulting framework embeds the chord maps of neo-Riemannian theory in continuous spaces that relate chords of different sizes and includes extensions of this approach to rhythm theory. It further introduces an application of topology to automatic music classification, drawing upon both static topological representations and time-series evolution, showing how static and dynamic features of music interact as features of musical style. This volume will be a key resource for academics, researchers, and advanced students of music, music analyses, music composition, mathematical music theory, computational musicology, and music informatics. It was originally published as a special issue of the Journal of Mathematics and Music.

This book shows how recent work in cognitive science, especially that developed by cognitive linguists and cognitive psychologists, can be used to explain how we understand music. The book focuses on three cognitive processes--categorization, cross-domain mapping, and the use of conceptual models--and explores the part these play in theories of musical organization. The first part of the book provides a detailed overview of the relevant work in cognitive science, framed around specific musical examples. The second part brings this perspective to bear on a number of issues with which music scholarship has often been occupied, including the emergence of musical syntax and its relationship to musical semiosis, the problem of musical ontology, the relationship between words and music in songs, and conceptions of musical form and musical hierarchy. The book will be of interest to music theorists, musicologists, and ethnomusicologists, as well as those with a professional or avocational interest in the application of work in cognitive science to humanistic principles.

First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.