Microtonality and the Tuning Systems of Erv Wilson

Microtonality and the Tuning Systems of Erv Wilson PDF Author: Terumi Narushima
Publisher: Routledge
ISBN: 1317513428
Category : Music
Languages : en
Pages : 376

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Book Description
This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson’s most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.

Microtonality and the Tuning Systems of Erv Wilson

Microtonality and the Tuning Systems of Erv Wilson PDF Author: Terumi Narushima
Publisher: Routledge
ISBN: 9780367872403
Category :
Languages : en
Pages : 218

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Book Description
This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson's work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson's most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.

Microtonality and the Tuning Systems of Erv Wilson

Microtonality and the Tuning Systems of Erv Wilson PDF Author: Terumi Narushima
Publisher: Routledge
ISBN: 1317513436
Category : Music
Languages : en
Pages : 218

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Book Description
This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson’s most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.

The Arithmetic of Listening

The Arithmetic of Listening PDF Author: Kyle Gann
Publisher: University of Illinois Press
ISBN: 0252051424
Category : Music
Languages : en
Pages : 344

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Book Description
"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html

A Compendium Of Musical Mathematics

A Compendium Of Musical Mathematics PDF Author: Franck Jedrzejewski
Publisher: World Scientific
ISBN: 9811284385
Category : Mathematics
Languages : en
Pages : 286

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Book Description
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.

Divisions of the Tetrachord

Divisions of the Tetrachord PDF Author: John H. Chalmers
Publisher:
ISBN:
Category : Music
Languages : en
Pages : 262

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Book Description


Mathematics and Computation in Music

Mathematics and Computation in Music PDF Author: Thomas Noll
Publisher: Springer Nature
ISBN: 3031606388
Category :
Languages : en
Pages : 474

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Book Description


The Oxford Handbook of Algorithmic Music

The Oxford Handbook of Algorithmic Music PDF Author: Alex McLean
Publisher: Oxford University Press
ISBN: 0190227001
Category : Technology & Engineering
Languages : en
Pages : 648

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Book Description
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.

"Maximum Clarity" and Other Writings on Music

Author: Ben Johnston
Publisher: University of Illinois Press
ISBN: 0252091574
Category : Biography & Autobiography
Languages : en
Pages : 327

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Book Description
Described by New York Times critic John Rockwell as "one of the best non-famous composers this country has to offer," Ben Johnston reconceives familiar idioms--ranging from neoclassicism and serialism to jazz and southern hymnody--using just intonation. Johnston studied with Darius Milhaud, Harry Partch, and John Cage, and is best known for his String Quartet No. 4, a complex series of variations on Amazing Grace. This collection spans forty years and brings together forty-one of Johnston's most important writings, including many rare and several previously unpublished selections. They include position papers, theoretical treatises, program notes, historical reflections, lectures, excerpts from interviews, and letters, and they cover a broad spectrum of concerns--from the technical exegesis of microtonality to the personal and the broadly humanistic. A discography of commercially available recordings of Johnston's music closes out the collection.

Keys to Play

Keys to Play PDF Author: Roger Moseley
Publisher: Univ of California Press
ISBN: 0520291247
Category : Games & Activities
Languages : en
Pages : 468

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Book Description
A free ebook version of this title is available through Luminos, University of California Press’s Open Access publishing program for monographs. Visit www.luminosoa.org to learn more. How do keyboards make music playable? Drawing on theories of media, systems, and cultural techniques, Keys to Play spans Greek myth and contemporary Japanese digital games to chart a genealogy of musical play and its animation via improvisation, performance, and recreation. As a paradigmatic digital interface, the keyboard forms a field of play on which the book’s diverse objects of inquiry—from clavichords to PCs and eighteenth-century musical dice games to the latest rhythm-action titles—enter into analogical relations. Remapping the keyboard’s topography by way of Mozart and Super Mario, who head an expansive cast of historical and virtual actors, Keys to Play invites readers to unlock ludic dimensions of music that are at once old and new.