Computational Models Of Rhythm And Meter

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.

The study of how the brain processes temporal information is becoming one of the most important topics in systems, cellular, computational, and cognitive neuroscience, as well as in the physiological bases of music and language. During the last and current decade, interval timing has been intensively studied in humans and animals using increasingly sophisticated methodological approaches. The present book will bring together the latest information gathered from this exciting area of research, putting special emphasis on the neural underpinnings of time processing in behaving human and non-human primates. Thus, Neurobiology of Interval Timing will integrate for the first time the current knowledge of both animal behavior and human cognition of the passage of time in different behavioral context, including the perception and production of time intervals, as well as rhythmic activities, using different experimental and theoretical frameworks. The book will the composed of chapters written by the leading experts in the fields of psychophysics, functional imaging, system neurophysiology, and musicology. This cutting-edge scientific work will integrate the current knowledge of the neurobiology of timing behavior putting in perspective the current hypothesis of how the brain quantifies the passage of time across a wide variety of critical behaviors.

Music informatics is an interdisciplinary research area that encompasses data driven approaches to the analysis, generation, and retrieval of music. In the era of big data, two goals weigh heavily on many research agendas in this area: (a) the identification of better features and (b) the acquisition of better training data. To this end, researchers have started to incorporate findings and methods from music cognition, a related but historically distinct research area that is concerned with elucidating the underlying mental processes involved in music-related behavior.

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

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-the-art 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. Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts 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, 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.

"The work of this introductory chapter is twofold; first, to provide a brief historical overview of the changing nature and conception of musical time over the last two thousand years, and second, to set out the arc of the work through detailing the central points of each chapter. While the individual pieces of writing bring vital and varied perspectives from musicology, ethnomusicology, philosophy, psychology, and socio-cultural work, what unites them is their attention to music of the modern period, with a strong focus on the multiplicities of contemporary practice, while also pointing to their nineteenth-century antecedents. In introducing the main themes of the book, the introduction calls attention to the burgeoning scholarship on time in music ranging between the immediate feelings and socialities of being in time with others and the broader imaginings of the cultural politics of time in music"--

The Psychology of Music serves as an introduction to an interdisciplinary field in psychology, which focuses on the interpretation of music through mental function. This interpretation leads to the characterization of music through perceiving, remembering, creating, performing, and responding to music. In particular, the book provides an overview of the perception of musical tones by discussing different sound characteristics, like loudness, pitch and timbre, together with interaction between these attributes. It also discusses the effect of computer resources on the psychological study of music through computational modeling. In this way, models of pitch perception, grouping and voice separation, and harmonic analysis were developed. The book further discusses musical development in social and emotional contexts, and it presents ways that music training can enhance the singing ability of an individual. The book can be used as a reference source for perceptual and cognitive psychologists, neuroscientists, and musicians. It can also serve as a textbook for advanced courses in the psychological study of music. Encompasses the way the brain perceives, remembers, creates, and performs music Contributions from the top international researchers in perception and cognition of music Designed for use as a textbook for advanced courses in psychology of music

Sound waves propagate through various media, and allow communication or entertainment for us, humans. Music we hear or create can be perceived in such aspects as rhythm, melody, harmony, timbre, or mood. All these elements of music can be of interest for users of music information retrieval systems. Since vast music repositories are available for everyone in everyday use (both in private collections, and in the Internet), it is desirable and becomes necessary to browse music collections by contents. Therefore, music information retrieval can be potentially of interest for every user of computers and the Internet. There is a lot of research performed in music information retrieval domain, and the outcomes, as well as trends in this research, are certainly worth popularizing. This idea motivated us to prepare the book on Advances in Music Information Retrieval. It is divided into four sections: MIR Methods and Platforms, Harmony, Music Similarity, and Content Based Identification and Retrieval. Glossary of basic terms is given at the end of the book, to familiarize readers with vocabulary referring to music information retrieval.