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A Compendium Of Musical Mathematics


A Compendium Of Musical Mathematics
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A Compendium Of Musical Mathematics


A Compendium Of Musical Mathematics
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Author : Franck Jedrzejewski
language : en
Publisher: World Scientific Publishing Company
Release Date : 2024

A Compendium Of Musical Mathematics written by Franck Jedrzejewski and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.


The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.



A Compendium Of Musical Mathematics


A Compendium Of Musical Mathematics
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Author : Franck Jedrzejewski
language : en
Publisher: World Scientific
Release Date : 2024-02-28

A Compendium Of Musical Mathematics written by Franck Jedrzejewski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-28 with Mathematics categories.


The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.



Musical Mathematics


Musical Mathematics
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Author : Cris Forster
language : en
Publisher: Chronicle Books
Release Date : 2010-07-14

Musical Mathematics written by Cris Forster and has been published by Chronicle Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-14 with Music categories.


Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.



Music A Mathematical Offering


Music A Mathematical Offering
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Author : Dave Benson
language : en
Publisher: Cambridge University Press
Release Date : 2007

Music A Mathematical Offering written by Dave Benson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.



Music And Mathematics


Music And Mathematics
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Author : John Fauvel
language : en
Publisher: Oxford University Press, USA
Release Date : 2003

Music And Mathematics written by John Fauvel and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.



Mathematics And Computation In Music


Mathematics And Computation In Music
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Author : Thomas Noll
language : en
Publisher: Springer Nature
Release Date : 2024-05-22

Mathematics And Computation In Music written by Thomas Noll and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-22 with Language Arts & Disciplines categories.


This book constitutes the refereed proceedings of the 9th International Conference on Mathematics and Computation in Music, MCM 2024, held in Coimbra, Portugal, during June 18–21, 2024. The 30 full papers and 9 short papers included in this book were carefully reviewed and selected from 45 submissions. They were organized in topical sections as follows: mathematical scale theory and tuning; rhythm analysis and rhythm generation; categorical and algebraic approaches to music; quantum music; theory and algorithms for melodic- harmonic analysis and generation; geometric approaches to musical algorithms and microtonality; fourier analysis for music; similarity and distance measures for music; short papers; communication-performances; and tribute to Yves Hellegouarch.



Music And Mathematics


Music And Mathematics
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Author : John Fauvel
language : en
Publisher:
Release Date : 2006

Music And Mathematics written by John Fauvel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with History categories.


From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.



Music Experiment And Mathematics In England 1653 1705


Music Experiment And Mathematics In England 1653 1705
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Author : Benjamin Wardhaugh
language : en
Publisher: Routledge
Release Date : 2017-07-05

Music Experiment And Mathematics In England 1653 1705 written by Benjamin Wardhaugh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Music categories.


How, in 1705, was Thomas Salmon, a parson from Bedfordshire, able to persuade the Royal Society that a musical performance could constitute a scientific experiment? Or that the judgement of a musical audience could provide evidence for a mathematically precise theory of musical tuning? This book presents answers to these questions. It constitutes a general history of quantitative music theory in the late seventeenth century as well as a detailed study of one part of that history: namely the applications of mathematical and mechanical methods of understanding to music that were produced in England between 1653 and 1705, beginning with the responses to Descartes's 1650 Compendium music and ending with the Philosophical Transactions' account of the appearance of Thomas Salmon at the Royal Society in 1705. The book is organized around four key questions. Do musical pitches form a small set or a continuous spectrum? Is there a single faculty of hearing which can account for musical sensation, or is more than one faculty at work? What is the role of harmony in the mechanical world, and where can its effects be found? And what is the relationship between musical theory and musical practice? These are questions which are raised and discussed in the sources themselves, and they have wide significance for early modern theories of knowledge and sensation more generally, as well as providing a fascinating side light onto the world of the scientific revolution.



Mathematics And Music


Mathematics And Music
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Author : Gerard Assayag
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Mathematics And Music written by Gerard Assayag and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.


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 sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.



William Hunter S World


William Hunter S World
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Author : Nick Pearce
language : en
Publisher: Routledge
Release Date : 2017-07-05

William Hunter S World written by Nick Pearce and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Art categories.


Despite William Hunter's stature as one of the most important collectors and men of science of the eighteenth century, and the fact that his collection is the foundation of Scotland's oldest public museum, The Hunterian, until now there has been no comprehensive examination in a single volume of all his collections in their diversity. This volume restores Hunter to a rightful position of prominence among the medical men whose research and amassing of specimens transformed our understanding of the natural world and man's position within it. This volume comprises essays by international specialists and are as diverse as Hunter's collections themselves, dealing as they do with material that ranges from medical and scientific specimens, to painting, prints, books and manuscripts. The first sections focus upon Hunter's own collection and his response to it, while the final section contextualises Hunter within the wider sphere. A special feature of the volume is the inclusion of references to the Hunterian's web pages and on-line databases. These enable searches for items from Hunter's collections, both from his museum and library. Locating Hunter's collecting within the broader context of his age and environment, this book provides an original approach to a man and collection whose importance has yet to be comprehensively assessed.