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Математические методы в теории музыки

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Springer, 2017. — 375 p. — (Lecture Notes in Computer Science). — ISBN 10 3319718266, 13 978-3319718262. This book constitutes the thoroughly refereed proceedings of the 6th International Conference on Mathematics and Computation in Music, MCM 2017, held in Mexico City, Mexico, in June 2017. The 26 full papers and 2 short papers presented were carefully reviewed and selected from...
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Springer, 2002. — 288 p. In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to...
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Dave Benson, 2006. — 520 p. Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real...
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Boca Raton: CRC Press LLC, 2000. — без пагинации, 14 файлов в архиве. Книга посвящена приложению математических методов к анализу музыки. Рассмотрено применение разведочного анализа данных, анализа временных рядов, иерархических методов, цепей Маркова, метода главных компонент, дискриминантного и кластерного анализа, многомерного шкалирования и т.п. Предназначена, с одной стороны,...
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Chapman&Hall/CRC, 2004. — 285 p. An essential aspect of music is structure. It is therefore not surprising that a connection between music and mathematics was recognized long before our time. Perhaps best known among the ancient “quantitative musicologists” are the Pythagoreans, who found fundamental connections between musical intervals and mathematical ratios. An obvious reason...
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Proceedings of the Second International Conference, MCM 2009, John Clough Memorial Conference, New Haven, CT, USA, June 19-22, 2009. — Springer, 2009. — 316 p. These proceedings comprise 26 refereed research papers that were presented at the Second International Conference on Mathematics and Computation in Music (MCM 2009), which met in conjunction with the John Clough Memorial...
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Oxford University Press, 2003. — 200 p. From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for...
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Scientific research. — Philadelphia: Department of Mathematics and Computer Science Saint Joseph’s University, 2008. — 54 p. The Sound of Numbers is a book on the mathematics of music theory—that is, the use of mathematics to describe, analyze, and create musical structures such as rhythms, scales, chords, and melodies. Music theorists have used mathematics to solve musical...
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Cambridge University Press, 1961. — 285 p. Sir James Jeans (1877–1946) is regarded as one of the founders of British cosmology, and was the first to suggest (in 1928) the steady state theory, which assumes a continuous creation of matter in the universe. He made many major contributions over a wide area of mathematical physics, but was also well known as an accessible writer for...
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Paris: Delatour, 2006. — 348 p. If you like advanced mathematics and music theory, this is a pretty good book. It is a collection of topics of current applications of mathematics and music theory. The organization of the topics seems a little disjointed, there are some typos and a few poorly worded sentences (presumably because English is not the author's native language), but...
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Paris: Delatour France, 2006. — 316 p. If you like advanced mathematics and music theory, this is a pretty good book. It is a collection of topics of current applications of mathematics and music theory. The organization of the topics seems a little disjointed, there are some typos and a few poorly worded sentences (presumably because English is not the author's native language),...
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Editor: Robert Peck, Associate Professor and Coordinator of Music Theory. Louisiana State University, School of Music. Contents: (currently available online - for a limited time). Welcome -. Thomas Noll & Robert Peck. Continued fractions, best measurements, and musical scales and intervals - J. Douthett & R. Krantz. The legacy of John Clough in mathematical music theory -...
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Proceedings of the First International Conference on Mathematics and Computation in Music, MCM 2007, held in Berlin, Germany, in May 2007. — Springer, 2007. — 336 p. — ISBN 978-3-642-04579-0. This book constitutes the refereed proceedings of the First International Conference on Mathematics and Computation in Music, MCM 2007, held in Berlin, Germany, in May 2007. The 51...
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New York: ISTE/Wiley, 2017. — 283 p. This book is built to start from elementary and fundamental bases to the first degrees of harmony. It provides many theoretical and technical bases of music, presenting in detail relations between physics and music (harmonics, frequency and time spectrum, dissonance, etc.), physiological relations with human body and education.
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New York: Springer, 2017. — 345 p. In particular the contributed chapters introduce advanced techniques and concepts from modern mathematics and physics, deriving from successes in domains such as Topos theory and physical string theory. The authors include many of the leading researchers in this domain, and the book will be of value to researchers working in computational music,...
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Boston: MIT Press, 2007. — 257 p. In Music and Probability, David Temperley explores issues in music perception and cognition from a probabilistic perspective. The application of probabilistic ideas to music has been pursued only sporadically over the past four decades, but the time is ripe, Temperley argues, for a reconsideration of how probabilities shape music perception and...
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Boca Raton: CRC Press, 2013. — 357 p. The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly...
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NY: CRC Press, 2013. — 342 p. At first glance, mathematics and music seem to be from separate worlds—one from science, one from art. But in fact, the connections between the two go back thousands of years, such as Pythagoras’s ideas about how to quantify changes of pitch for musical tones (musical intervals). Mathematics and Music: Composition, Perception, and Performance explores...
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N.-Y.: AMS, 2009. — 176 p. Contents: Introduction. Basic Concepts. Horizontal Structure. Harmony and Related Numerology. Ratios and Musical Intervals. Logarithms and Musical Intervals. Chromatic Scales. Octave Identification. Properties of Integers. The Integers as Intervals. Timbre and Periodic Functions. Rational Numbers As Intervals. Rational Tuning.
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М.; Ижевск: Институт компьютерных исследований, 2013. — 432 с. — ISBN 978-5-4344-0132-6. Математика — признанная царица наук — вовлечена практически во все исследования, известные человечеству. Ее применение будет обязательным повсюду, где требуется установить взаимосвязь между пространством, временем и мыслью. Не стала исключением из этого правила и музыка, представляющая собой...
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