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Author : Guerino Mazzola
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.F/5 ( download)
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:
Author : Gabriel Pareyon
Publisher : Springer
ISBN 13 : 3319473379
Total Pages : 352 pages
Book Rating : 4.3/5 (194 download)
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.
Author : Guerino Mazzola
Publisher : Springer Nature
ISBN 13 : 3030397092
Total Pages : 237 pages
Book Rating : 4.0/5 (33 download)
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 : Keiji Hirata
Publisher : Springer Nature
ISBN 13 : 9811951667
Total Pages : 264 pages
Book Rating : 4.8/5 (119 download)
Download or read book Music, Mathematics and Language written by Keiji Hirata and published by Springer Nature. This book was released on 2022-12-05 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach to computational musicology in which music becomes a computational entity based on human cognition, allowing us to calculate music like numbers. Does music have semantics? Can the meaning of music be revealed using symbols and described using language? The authors seek to answer these questions in order to reveal the essence of music. Chapter 1 addresses a very fundamental point, the meaning of music, while referring to semiotics, gestalt, Schenkerian analysis and cognitive reality. Chapter 2 considers why the 12-tone equal temperament came to be prevalent. This chapter serves as an introduction to the mathematical definition of harmony, which concerns the ratios of frequency in tonic waves. Chapter 3, “Music and Language,” explains the fundamentals of grammar theory and the compositionality principle, which states that the semantics of a sentence can be composed in parallel to its syntactic structure. In turn, Chapter 4 explains the most prevalent score notation – the Berklee method, which originated at the Berklee School of Music in Boston – from a different point of view, namely, symbolic computation based on music theory. Chapters 5 and 6 introduce readers to two important theories, the implication-realization model and generative theory of tonal music (GTTM), and explain the essence of these theories, also from a computational standpoint. The authors seek to reinterpret these theories, aiming at their formalization and implementation on a computer. Chapter 7 presents the outcomes of this attempt, describing the framework that the authors have developed, in which music is formalized and becomes computable. Chapters 8 and 9 are devoted to GTTM analyzers and the applications of GTTM. Lastly, Chapter 10 discusses the future of music in connection with computation and artificial intelligence. This book is intended both for general readers who are interested in music, and scientists whose research focuses on music information processing. In order to make the content as accessible as possible, each chapter is self-contained.
Author : Mariana Montiel
Publisher : World Scientific Publishing
ISBN 13 : 9813235322
Total Pages : 372 pages
Book Rating : 4.8/5 (132 download)
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 : Guerino Mazzola
Publisher : Birkhäuser
ISBN 13 : 303488141X
Total Pages : 1310 pages
Book Rating : 4.0/5 (348 download)
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
Author : Mariana Montiel
Publisher : Springer
ISBN 13 : 3030213927
Total Pages : 403 pages
Book Rating : 4.0/5 (32 download)
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 : Dmitri Tymoczko
Publisher : OUP USA
ISBN 13 : 0195336674
Total Pages : 469 pages
Book Rating : 4.1/5 (953 download)
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.
Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 331942937X
Total Pages : 314 pages
Book Rating : 4.3/5 (194 download)
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.
Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3319643649
Total Pages : 675 pages
Book Rating : 4.3/5 (196 download)
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.
Author : Alex McLean
Publisher : Oxford University Press
ISBN 13 : 0190227001
Total Pages : 648 pages
Book Rating : 4.1/5 (92 download)
Download or read book The Oxford Handbook of Algorithmic Music written by Alex McLean and published by Oxford University Press. This book was released on 2018-01-18 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the ongoing development of algorithmic composition programs and communities of practice expanding, algorithmic music faces a turning point. Joining dozens of emerging and established scholars alongside leading practitioners in the field, chapters in this Handbook both describe the state of algorithmic composition and also set the agenda for critical research on and analysis of algorithmic music. Organized into four sections, chapters explore the music's history, utility, community, politics, and potential for mass consumption. Contributors address such issues as the role of algorithms as co-performers, live coding practices, and discussions of the algorithmic culture as it currently exists and what it can potentially contribute society, education, and ecommerce. Chapters engage particularly with post-human perspectives - what new musics are now being found through algorithmic means which humans could not otherwise have made - and, in reciprocation, how algorithmic music is being assimilated back into human culture and what meanings it subsequently takes. Blending technical, artistic, cultural, and scientific viewpoints, this Handbook positions algorithmic music making as an essentially human activity.
Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3319644440
Total Pages : 435 pages
Book Rating : 4.3/5 (196 download)
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 435 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 : Soubhik Chakraborty
Publisher : Springer
ISBN 13 : 3319114727
Total Pages : 116 pages
Book Rating : 4.3/5 (191 download)
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.
Author : Timour Klouche
Publisher : Springer
ISBN 13 : 3642045790
Total Pages : 546 pages
Book Rating : 4.6/5 (42 download)
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.
Author : Timothy A. Johnson
Publisher : Scarecrow Press
ISBN 13 : 0810862336
Total Pages : 196 pages
Book Rating : 4.8/5 (18 download)
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.
Author : Julian Hook
Publisher : Oxford University Press
ISBN 13 : 0190246014
Total Pages : 681 pages
Book Rating : 4.1/5 (92 download)
Download or read book Exploring Musical Spaces written by Julian Hook and published by Oxford University Press. This book was released on 2022-09-08 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.
Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)
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: 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
