This book presents the latest computational models of rhythm and meter that are based on number theory, combinatorics and pattern matching. Two computational models of rhythm and meter are evaluated: The first one explores a relatively new field in Mathematics, namely Combinatorics on Words, specifically Christoffel Words and the Burrows-Wheeler Transform, together with integer partitions. The second model uses filtered Farey Sequences in combination with specific weights that are assigned to inter-onset ratios. This work is assessed within the context of the current state of the art of tempo tracking and computational music transcription. Furthermore, the author discusses various representations of musical rhythm, which lead to the development of a new shorthand notation that will be useful for musicologists and composers. Computational Models of Rhythm and Meter also contains numerous investigations into the timing structures of human rhythm and metre perception carried out within the last decade. Our solution to the transcription problem has been tested using a wide range of musical styles, and in particular using two recordings of J.S. Bach's Goldberg Variations by Glenn Gould. The technology is capable of modelling musical rhythm and meter by using Farey Sequences, and by detecting duration classes in a windowed analysis, which also detects the underlying tempo. The outcomes represent human performances of music as accurate as possible within Western score notation.

Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.

This text comprises of papers relating to music and mind. It presents a range of approaches from the psychological through the computational, to the musicological.

A state-of-the-art overview of the latest theory and research in music psychology, written by leaders in the field. This authoritative, landmark volume offers a comprehensive state-of-the-art overview of the latest theory and research in music perception and cognition. Eminent scholars from a range of disciplines, employing a variety of methodologies, describe important findings from core areas of the field, including music cognition, the neuroscience of music, musical performance, and music therapy. The book can be used as a textbook for courses in music cognition, auditory perception, science of music, psychology of music, philosophy of music, and music therapy, and as a reference for researchers, teachers, and musicians. The book's sections cover music perception; music cognition; music, neurobiology, and evolution; musical training, ability, and performance; and musical experience in everyday life. Chapters treat such topics as pitch, rhythm, and timbre; musical expectancy, musicality, musical disorders, and absolute pitch; brain processes involved in music perception, cross-species studies of music cognition, and music across cultures; improvisation, the assessment of musical ability, and singing; and music and emotions, musical preferences, and music therapy. Contributors Fleur Bouwer, Peter Cariani, Laura K. Cirelli, Annabel J. Cohen, Lola L. Cuddy, Shannon de L'Etoile, Jessica A. Grahn, David M. Greenberg, Bruno Gingras, Henkjan Honing, Lorna S. Jakobson, Ji Chul Kim, Stefan Koelsch, Edward W. Large, Miriam Lense, Daniel Levitin, Charles J. Limb, Psyche Loui, Stephen McAdams, Lucy M. McGarry, Malinda J. McPherson, Andrew J. Oxenham, Caroline Palmer, Aniruddh Patel, Eve-Marie Quintin, Peter Jason Rentfrow, Edward Roth, Frank A. Russo, Rebecca Scheurich, Kai Siedenburg, Avital Sternin, Yanan Sun, William F. Thompson, Renee Timmers, Mark Jude Tramo, Sandra E. Trehub, Michael W. Weiss, Marcel Zentner

Consciousness has been described as one of the most mysterious things in the universe. Scientists, philosophers, and commentators from a whole range of disciplines can't seem to agree on what it is, generating a sizeable field of contemporary research known as consciousness studies. Following its forebear Music and Consciousness: Philosophical, Psychological and Cultural Perspectives (OUP, 2011), this volume argues that music can provide a valuable route to understanding consciousness, and also that consciousness opens up new perspectives for the study of music. It argues that consciousness extends beyond the brain, and is fundamentally related to selves engaged in the world, culture, and society. The book brings together an interdisciplinary line up of authors covering topics as wide ranging as cognitive psychology, neuroscience, psychoanalysis, philosophy and phenomenology, aesthetics, sociology, ethnography, and performance studies and musical styles from classic to rock, trance to Daoism, jazz to tabla, and deep listening to free improvisation. Music and Consciousness 2 will be fasinating reading for those studying or working in the field of musicology, those researching consciousness as well as cultural theorists, psychologists, and philosophers.

The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach to phylogenetic analysis and illustrated its application to the study of musical rhythm. The new edition retains all of this, while also adding 100 pages, 93 figures, 225 new references, and six new chapters covering topics such as meter and metric complexity, rhythmic grouping, expressive timbre and timing in rhythmic performance, and evolution phylogenetic analysis of ancient Greek paeonic rhythms. In addition, further context is provided to give the reader a fuller and richer insight into the historical connections between music and mathematics.