Cool Math For Hot Music

Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 331942937X
Total Pages : 323 pages
Book Rating : 4.73/5 ( download)

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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 323 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.

Author : Mariana Montiel
Publisher : World Scientific Publishing
ISBN 13 : 9813235322
Total Pages : 372 pages
Book Rating : 4.28/5 ( download)

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Download or read book Mathematical Music Theory written by Mariana Montiel and published by World Scientific Publishing. This book was released on 2018-11-14 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music. remove

Author : Mariana Montiel
Publisher : Springer
ISBN 13 : 3030213927
Total Pages : 403 pages
Book Rating : 4.23/5 ( download)

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Download or read book Mathematics and Computation in Music written by Mariana Montiel and published by Springer. This book was released on 2019-06-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. The chapter “Distant Neighbors and Interscalar Contiguities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Guerino Mazzola
Publisher : Springer Nature
ISBN 13 : 3030397092
Total Pages : 237 pages
Book Rating : 4.98/5 ( download)

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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.

Author : Mariana Montiel
Publisher : World Scientific
ISBN 13 : 9813228369
Total Pages : 324 pages
Book Rating : 4.68/5 ( download)

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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 324 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.

Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3319643649
Total Pages : 656 pages
Book Rating : 4.49/5 ( download)

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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 656 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.

Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3319644815
Total Pages : 604 pages
Book Rating : 4.13/5 ( download)

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Download or read book The Topos of Music III: Gestures written by Guerino Mazzola and published by Springer. This book was released on 2018-03-28 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.

Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3319644440
Total Pages : 408 pages
Book Rating : 4.48/5 ( download)

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Download or read book The Topos of Music II: Performance written by Guerino Mazzola and published by Springer. This book was released on 2018-03-28 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the second edition of the now classic book “The Topos of Music”. The author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. The author also shows how Rubato, a software platform for composition, analysis, and performance, allows an experimental evaluation of principles of expressive performance theories.

Author : Hanns-Werner Heister
Publisher : Springer Nature
ISBN 13 : 3662629070
Total Pages : 724 pages
Book Rating : 4.79/5 ( download)

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Download or read book Music and Fuzzy Logic written by Hanns-Werner Heister and published by Springer Nature. This book was released on 2021-02-21 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unfolds the manifold, complex and intertwined relations between Fuzzy Logic and music in a first comprehensive overview on this topic: systematically as an outline, as completely as possible, in the aspects of Fuzzy Logic in this relation, and especially in music as a process with three main phases, five anthropological layers, and thirteen forms of existence of the art work (Classics, Jazz, Pop, Folklore). Being concerned with the ontological, gnoseological, psychological, and (music-) aesthetical status and the relative importance of different phenomena of relationship between music and Fuzzy Logic, the explication follows the four main principles (with five phenotypes) of Fuzzy Logic with respect to music: similarity, sharpening 1 as filtering, sharpening 2 as crystallization, blurring, and variation. The book reports on years of author’s research on topics that have been only little explored so far in the area of Music and Fuzzy Logic. It merges concepts of music analysis with fuzzy logical modes of thinking, in a unique way that is expected to attract both specialists of music and specialists of Fuzzy Logic, and also non-specialists in both fields. The book introduces the concept of dialectic between sharpening and – conscious – “blurring”. In turn, some important aspects of this dialectic are discussed, placing them in an historical dimension, and ending in the postulation of a 'musical turn' in the sciences, with some important reflections concerning a “Philosophy of Fuzzy Logic”. Moreover, a production-oriented thinking is borrowed from fuzzy logic to musicology in this book, opening new perspectives in music, and possibly also in other artistic fields.

Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3030009823
Total Pages : 200 pages
Book Rating : 4.23/5 ( download)

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Download or read book Basic Music Technology written by Guerino Mazzola and published by Springer. This book was released on 2018-11-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to basic music technology, including acoustics for sound production and analysis, Fourier, frequency modulation, wavelets, and physical modeling and a classification of musical instruments and sound spaces for tuning and counterpoint. The acoustical theory is applied to its implementation in analogue and digital technology, including a detailed discussion of Fast Fourier Transform and MP3 compression. Beyond acoustics, the book discusses important symbolic sound event representation and software as typically realized by MIDI and denotator formalisms. The concluding chapters deal with globalization of music on the Internet, referring to iTunes, Spotify and similar environments. The book will be valuable for students of music, music informatics, and sound engineering.