Mathematical Music Theory
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Mathematical Music Theory
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Author : Mariana Montiel
language : en
Publisher: World Scientific Publishing
Release Date : 2018-11-14
Mathematical Music Theory written by Mariana Montiel and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Technology & Engineering categories.
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
Theoretical And Practical Pedagogy Of Mathematical Music Theory Music For Mathematics And Mathematics For Music From School To Postgraduate Levels
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Author : Mariana Montiel
language : en
Publisher: World Scientific
Release Date : 2018-10-24
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 has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Mathematics categories.
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.
The Topos Of Music
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Author : Guerino Mazzola
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Topos Of Music written by Guerino Mazzola and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
With contributions by numerous experts
Music Theory And Mathematics
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Author : Jack Moser Douthett
language : en
Publisher: University Rochester Press
Release Date : 2008
Music Theory And Mathematics written by Jack Moser Douthett and has been published by University Rochester Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays in Music Theory and Mathematics: Chords, Collections, and Transformations define the state of mathematically oriented music theory at the beginning of the twenty-first century. The volume includes essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays constitute a close-knit body of work -- a family in the sense of tracing their descentfrom a few key breakthroughs by John Clough, David Lewin, and Richard Cohn in the 1980s and 1990s. They are integrated by the ongoing dialogue they conduct with one another. The editors are Jack Douthett, a mathematician and music theorist who collaborated extensively with Clough; Martha M. Hyde, a distinguished scholar of twentieth-century music; and Charles J. Smith, a specialist in tonal theory. The contributors are all prominent scholars, teaching at institutions such as Harvard, Yale, Indiana University, and the University at Buffalo. Six of them (Clampitt, Clough, Cohn, Douthett, Hook, and Smith) have received the Society for Music Theory's prestigious PublicationAward, and one (Hyde) has received the ASCAP Deems Taylor Award. The collection includes the last paper written by Clough before his death, as well as the last paper written by David Lewin, an important music theorist also recently deceased. Contributors: David Clampitt, John Clough, Richard Cohn, Jack Douthett, Nora Engebretsen, Julian Hook, Martha Hyde, Timothy Johnson, Jon Kochavi, David Lewin, Charles J. Smith, and Stephen Soderberg.
Theoretical And Practical Pedagogy Of Mathematical Music Theory
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Author :
language : en
Publisher:
Release Date : 2018
Theoretical And Practical Pedagogy Of Mathematical Music Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Perspectives In Mathematical And Computational Music Theory
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Author : Guerino Mazzola
language : en
Publisher:
Release Date : 2004
Perspectives In Mathematical And Computational Music Theory written by Guerino Mazzola and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Music categories.
Mathematical Music Theory
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Author :
language : en
Publisher:
Release Date : 2019
Mathematical Music Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Mathematics And Computation In Music
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Author : Mariana Montiel
language : en
Publisher: Springer
Release Date : 2019-06-11
Mathematics And Computation In Music written by Mariana Montiel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Computers categories.
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.
Exploring Musical Spaces
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Author : Julian Hook
language : en
Publisher: Oxford University Press
Release Date : 2022-09-08
Exploring Musical Spaces written by Julian Hook and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-08 with categories.
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.
The Musical Mathematical Mind
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Author : Gabriel Pareyon
language : en
Publisher: Springer
Release Date : 2017-10-20
The Musical Mathematical Mind written by Gabriel Pareyon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-20 with Computers categories.
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.