Perspectives in Mathematical and Computational Music Theory

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Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Perspectives in Mathematical and Computational Music Theory by : Guerino Mazzola

Download or read book Perspectives in Mathematical and Computational Music Theory written by Guerino Mazzola and published by . This book was released on 2004 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Topos of Music

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Publisher : Birkhäuser
ISBN 13 : 303488141X
Total Pages : 1310 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Topos of Music by : Guerino Mazzola

Download or read book The Topos of Music written by Guerino Mazzola and published by Birkhäuser. This book was released on 2012-12-06 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts

A Geometry of Music

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Publisher : OUP USA
ISBN 13 : 0195336674
Total Pages : 469 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis A Geometry of Music by : Dmitri Tymoczko

Download or read book A Geometry of Music written by Dmitri Tymoczko and published by OUP USA. This book was released on 2011-03-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.

Mathematics and Computation in Music

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Publisher : Springer
ISBN 13 : 3642045790
Total Pages : 546 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Mathematics and Computation in Music by : Timour Klouche

Download or read book Mathematics and Computation in Music written by Timour Klouche and published by Springer. This book was released on 2010-07-19 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises a selection of papers presented at the first International C- ference on Mathematics and Computation in Music – mcm2007. The conference took place at the Staatliches Institut für Musikforschung PK – National Institute for Music Research in Berlin during May 18–20, 2007 and was jointly organized by the National Institute for Music Research Berlin and the Society of Mathematics and Computation in Music. The papers were selected for the conference by the program committee and classfied into talks and posters. All papers underwent further selection, revision and elaboration for this book publication. The articles cover a research field which is heterogeneous with respect to content, scientific language and methodology. On one hand, this reflects the heterogeneity and richness of the musical subject domain itself. On the other hand, it exemplifies a t- sion which has been explicitly intended by both the organizers and the founders of the society, namely to support the integration of mathematical and computational - proaches to music theory, composition, analysis and performance. The subdivision into three parts reflects the original structure of the program. These parts are opened by invited papers and followed by talks and posters.

The Musical-Mathematical Mind

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Publisher : Springer
ISBN 13 : 3319473379
Total Pages : 352 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Musical-Mathematical Mind by : Gabriel Pareyon

Download or read book The Musical-Mathematical Mind written by Gabriel Pareyon and published by Springer. This book was released on 2017-10-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics. 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, particularly in the areas of counterpoint, gesture, and Topos theory.

The Topos of Music I: Theory

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Publisher : Springer
ISBN 13 : 3319643649
Total Pages : 675 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Topos of Music I: Theory by : Guerino Mazzola

Download or read book The Topos of Music I: Theory written by Guerino Mazzola and published by Springer. This book was released on 2018-03-28 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

Mathematics and Computation

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Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Graph-Based Representation and Reasoning

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Publisher : Springer
ISBN 13 : 3319913794
Total Pages : 207 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Graph-Based Representation and Reasoning by : Peter Chapman

Download or read book Graph-Based Representation and Reasoning written by Peter Chapman and published by Springer. This book was released on 2018-06-07 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 23rd International Conference on Conceptual Structures, ICCS 2018, held in Edinburgh, UK, in June 2018. The 10 full papers, 2 short papers and 2 posters presented were carefully reviewed and selected from 21 submissions. They are organized in the following topical sections: graph- and concept-based inference; computer- human interaction and human cognition; and graph visualization.

The Future of Music

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Publisher : Springer Nature
ISBN 13 : 3030397092
Total Pages : 237 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis The Future of Music by : Guerino Mazzola

Download or read book The Future of Music written by Guerino Mazzola and published by Springer Nature. This book was released on 2020-03-21 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of this monograph is to present an overview of decisive theoretical, computational, technological, aesthetical, artistic, economical, and sociological directions to create future music. It features a unique insight into dominant scientific and artistic new directions, which are guaranteed by the authors' prominent publications in books, software, musical, and dance productions. Applying recent research results from mathematical and computational music theory and software as well as new ideas of embodiment approaches and non-Western music cultures, this book presents new composition methods and technologies. Mathematical, computational, and semiotic models of artistic presence (imaginary time, gestural creativity) as well as strategies are also covered. This book will be of interest to composers, music technicians, and organizers in the internet-based music industry, who are offered concrete conceptual architectures and tools for their future strategies in musical creativity and production.

Flow, Gesture, and Spaces in Free Jazz

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Publisher : Springer Science & Business Media
ISBN 13 : 3540921958
Total Pages : 140 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Flow, Gesture, and Spaces in Free Jazz by : Guerino Mazzola

Download or read book Flow, Gesture, and Spaces in Free Jazz written by Guerino Mazzola and published by Springer Science & Business Media. This book was released on 2008-12-21 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free jazz, as performed by such artists as John Coltrone and Archie Shepp, is a creative, collaborative art form. This book examines free jazz and develops geometric theories of gestures and distributed identities, also known as swarm intelligence.

Computational Musicology in Hindustani Music

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Publisher : Springer
ISBN 13 : 3319114727
Total Pages : 116 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Computational Musicology in Hindustani Music by : Soubhik Chakraborty

Download or read book Computational Musicology in Hindustani Music written by Soubhik Chakraborty and published by Springer. This book was released on 2014-11-27 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book opens with a short introduction to Indian music, in particular classical Hindustani music, followed by a chapter on the role of statistics in computational musicology. The authors then show how to analyze musical structure using Rubato, the music software package for statistical analysis, in particular addressing modeling, melodic similarity and lengths, and entropy analysis; they then show how to analyze musical performance. Finally, they explain how the concept of seminatural composition can help a music composer to obtain the opening line of a raga-based song using Monte Carlo simulation. The book will be of interest to musicians and musicologists, particularly those engaged with Indian music.

Foundations of Diatonic Theory

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Publisher : Scarecrow Press
ISBN 13 : 0810862336
Total Pages : 196 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Foundations of Diatonic Theory by : Timothy A. Johnson

Download or read book Foundations of Diatonic Theory written by Timothy A. Johnson and published by Scarecrow Press. This book was released on 2008-09-26 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music.

Cool Math for Hot Music

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Publisher : Springer
ISBN 13 : 331942937X
Total Pages : 314 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Cool Math for Hot Music by : Guerino Mazzola

Download or read book Cool Math for Hot Music written by Guerino Mazzola and published by Springer. This book was released on 2016-10-26 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.

Music Through Fourier Space

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Publisher : Springer
ISBN 13 : 3319455818
Total Pages : 214 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Music Through Fourier Space by : Emmanuel Amiot

Download or read book Music Through Fourier Space written by Emmanuel Amiot and published by Springer. This book was released on 2016-10-26 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.

Handbook on Decision Making

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Publisher : Springer Science & Business Media
ISBN 13 : 3642257550
Total Pages : 457 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Handbook on Decision Making by : Jie Lu

Download or read book Handbook on Decision Making written by Jie Lu and published by Springer Science & Business Media. This book was released on 2012-03-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovative theories, methodologies, and techniques in the field of risk management and decision making. It introduces new research developments and provides a comprehensive image of their potential applications to readers interested in the area. The collection includes: computational intelligence applications in decision making, multi-criteria decision making under risk, risk modelling,forecasting and evaluation, public security and community safety, risk management in supply chain and other business decision making, political risk management and disaster response systems. The book is directed to academic and applied researchers working on risk management, decision making, and management information systems.

Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels

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Publisher : World Scientific
ISBN 13 : 9813228369
Total Pages : 325 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels by : Mariana Montiel

Download or read book Theoretical And Practical Pedagogy Of Mathematical Music Theory: Music For Mathematics And Mathematics For Music, From School To Postgraduate Levels written by Mariana Montiel and published by World Scientific. This book was released on 2018-10-24 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers.

Musical Performance

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Publisher : Springer Science & Business Media
ISBN 13 : 3642118380
Total Pages : 285 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Musical Performance by : Guerino Mazzola

Download or read book Musical Performance written by Guerino Mazzola and published by Springer Science & Business Media. This book was released on 2010-11-16 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a first sketch of what the overall field of performance could look like as a modern scientific field but not its stylistically differentiated practice, pedagogy, and history. Musical performance is the most complex field of music. It comprises the study of a composition’s expression in terms of analysis, emotion, and gesture, and then its transformation into embodied reality, turning formulaic facts into dramatic movements of human cognition. Combining these components in a creative way is a sophisticated mix of knowledge and mastery, which more resembles the cooking of a delicate recipe than a rational procedure. This book is the first one aiming at such comprehensive coverage of the topic, and it does so also as a university text book. We include musicological and philosophical aspects as well as empirical performance research. Presenting analytical tools and case studies turns this project into a demanding enterprise in construction and experimental setups of performances, especially those generated by the music software Rubato. We are happy that this book was written following a course for performance students at the School of Music of the University of Minnesota. Their education should not be restricted to the canonical practice. They must know the rationale for their performance. It is not sufficient to learn performance with the old-fashioned imitation model of the teacher's antetype, this cannot be an exclusive tool since it dramatically lacks the poetical precision asked for by Adorno's and Benjamin's micrologic. Without such alternatives to intuitive imitation, performance risks being disconnected from the audience.