This book provides an in-depth introduction and overview of current research in computational music analysis. Its seventeen chapters, written by leading researchers, collectively represent the diversity as well as the technical and philosophical sophistication of the work being done today in this intensely interdisciplinary field. A broad range of approaches are presented, employing techniques originating in disciplines such as linguistics, information theory, information retrieval, pattern recognition, machine learning, topology, algebra and signal processing. Many of the methods described draw on well-established theories in music theory and analysis, such as Forte's pitch-class set theory, Schenkerian analysis, the methods of semiotic analysis developed by Ruwet and Nattiez, and Lerdahl and Jackendoff's Generative Theory of Tonal Music. The book is divided into six parts, covering methodological issues, harmonic and pitch-class set analysis, form and voice-separation, grammars and hierarchical reduction, motivic analysis and pattern discovery and, finally, classification and the discovery of distinctive patterns. As a detailed and up-to-date picture of current research in computational music analysis, the book provides an invaluable resource for researchers, teachers and students in music theory and analysis, computer science, music information retrieval and related disciplines. It also provides a state-of-the-art reference for practitioners in the music technology industry.

This book contains a complete and accurate mathematical treatment of the sounds of music with an emphasis on musical timbre. The book spans the range from tutorial introduction to advanced research and application to speculative assessment of its various techniques. All the contributors use a generalized additive sine wave model for describing musical timbre which gives a conceptual unity, but is of sufficient utility to be adapted to many different tasks.

In recent years, academics and professionals in the social sciences have forged significant advances in quantitative research methodologies specific to their respective disciplines. Although new and sophisticated techniques for large-scale data analyses have become commonplace in general educational, psychological, sociological, and econometric fields, many researchers in music education have yet to be exposed to such techniques. Design and Analysis of Quantitative Research in Music Education is a comprehensive reference for those involved with research in music education and related fields, providing a foundational understanding of quantitative inquiry methods. Authors Peter Miksza and Kenneth Elpus update and expand the set of resources that music researchers have at their disposal for conceptualizing and analyzing data pertaining to music-related phenomena. This text is designed to familiarize readers with foundational issues of quantitative inquiry as a point of view, introduce and elaborate upon issues of fundamental quantitative research design and analysis, and expose researchers to new, innovative, and exciting methods for dealing with complex research questions and analyzing large samples of data in a rigorous and thorough manner. With this resource, researchers will be better equipped for dealing with the challenges of the increasingly information-rich and data-driven environment surrounding music education. An accompanying companion website provides valuable supplementary exercises and videos.

Music is an art form which is realized in time. This dissertation presents computational methods for examining the temporality of music at multiple time-scales so that both short-term surface features and deeper long-term structures can be studied and related to each other. The methods are applied in particular to musical key analysis (Chapters 2-4) and also adapted for use in performance analysis (Chapters 5-6). The essential methodology is to examine all sequential time-scales within a piece using some analytic process and then arrange a summary of the analytic results into a maximally overlapped arrangement. Chapter 2 defines a two-dimensional plotting domain for displaying musical features at all possible time-scales which forms a basis for further analysis methods. The resulting structures in the plots can be examined subjectively as a navigational aid in the music as illustrated in Chapters 3 and 5. They can also be used to extract musically relevant information as discussed in Chapters 4 and 6.

Since the beginning of the twentieth century, the cross-pollenization of world musical materials and practices has accelerated precipitously, due in large part to advances in higher-speed communications and travel. We live now in a world of global musical practice that will only continue to blossom and develop through the twenty-first century and beyond. Yet music theory as an academic discipline is only just beginning to respond to such a milieu. Conferences, workshops and curricula are for the first time beginning to develop around the theme of 'world music theory', as students, teachers and researchers recognize the need for analytical concepts and methods applicable to a wider range of human musics, not least the hybrid musics that influence (and increasingly define) more and more of the world's musical practices. Towards a Global Music Theory proposes a number of such concepts and methods stemming from durational and acoustic relationships between 'twos' and 'threes' as manifested in various interrelated aspects of music, including rhythm, melody, harmony, process, texture, timbre and tuning, and offers suggestions for how such concepts and methods might be applied effectively to the understanding of music in a variety of contexts. While some of the bases for this foray into possible methods for a twenty-first century music theory lie along well established acoustical and psycho-acoustical lines, Dr Mark Hijleh presents a broad attempt to apply them conceptually and comprehensively to a variety of musics in a relevant way that can be readily apprehended and applied by students, scholars and teachers.

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.