Microtonality And The Tuning Systems Of Erv Wilson
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Microtonality And The Tuning Systems Of Erv Wilson
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Author : Terumi Narushima
language : en
Publisher: Routledge
Release Date : 2017-11-22
Microtonality And The Tuning Systems Of Erv Wilson written by Terumi Narushima and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Music categories.
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
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Author : Terumi Narushima
language : en
Publisher: Routledge
Release Date : 2017-11-22
Microtonality And The Tuning Systems Of Erv Wilson written by Terumi Narushima and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Music categories.
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
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Author : Terumi Narushima
language : en
Publisher: Routledge
Release Date : 2019-12-12
Microtonality And The Tuning Systems Of Erv Wilson written by Terumi Narushima and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-12 with categories.
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.
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.
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.
Rock Tonality Amplified
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Author : Brett Clement
language : en
Publisher: Taylor & Francis
Release Date : 2023-03-28
Rock Tonality Amplified written by Brett Clement and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-28 with Music categories.
Rock Tonality Amplified presents an in-depth exploration of rock tonality. Building on several decades of research, this book develops a comprehensive music theory designed to make sense of several essential components of tonality. Within, readers learn to locate the chords they hear through various methods, to understand and predict harmonic resolution tendencies, and to identify the functions of chords as they appear in musical contexts. Further, the book offers a conceptual framework to describe tonal relations that are played out through entire songs, allowing readers to recognize the features that contribute to tonal unity in songs and the ones that are employed to create musical drama. The book contributes to a wealth of methodologies in music theory, making it of broad interest to music scholars and students. Further, it balances speculative and practical approaches so that it has clear applications for analysis and pedagogy. It includes numerous musical figures and cites hundreds of songs from a wide variety of artists. Each chapter concludes with additional practice activities, allowing for easy adaptation to various pedagogical purposes.
Tuning Timbre Spectrum Scale
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Author : William A. Sethares
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-03
Tuning Timbre Spectrum Scale written by William A. Sethares 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 2005-01-03 with Technology & Engineering categories.
Table2. 2. Each note consists of three partials. If the sequence is played ascending, then the ?rst virtual pitch tends to be perceived, whereas if played descending, the second, lower virtual pitch tends to be heard. Only one virtual pitch is audible at a time. This can be heard in sound examples [S: 6] and [S: 7]. Note First Second Third Virtual Pitch Virtual Pitch partial partial partial ascending descending 1 600 800 1000 200. 0 158. 9 2 620 820 1020 205. 2 163. 0 3 640 840 1040 210. 4 167. 1 4 660 860 1060 215. 6 171. 2 5 680 880 1080 220. 9 175. 3 6 700 900 1100 226. 1 179. 4 7 720 920 1120 231. 3 183. 6 8 740 940 1140 236. 6 187. 7 9 760 960 1160 241. 8 191. 8 10 780 980 1180 247. 0 195. 9 11 800 1000 1200 252. 2 200. 0 Pitch and virtual pitch are properties of a single sound. For instance, a chord played by the violin, viola, and cello of a string quartet is not usually thoughtofashavingapitch;rather,pitchisassociatedwitheachinstrumental tone separately. Thus, determining the pitch or pitches of a complex sound source requires that it ?rst be partitioned into separate perceptual entities. Only when a cluster of partials fuse into a single sound can it be assigned a pitch. When listening analytically, for instance, there may be more “notes” presentthaninthesamesoundwhenlisteningholistically.
20th Century Microtonal Notation
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Author : Gardner Read
language : en
Publisher: Praeger
Release Date : 1990-07-18
20th Century Microtonal Notation written by Gardner Read and has been published by Praeger this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-18 with Music categories.
No other book has covered the subject of 20th-century microtonal notation in such depth as this comprehensive guide book. 20th-Century Microtonal Notation surveys the many attempts to notate various microtonal divisions of the octave in our western music. The concerts, festivals, and journals devoted exclusively to microtonal composition evince the widespread interest and involvement in microtonal music today. Activity in the specialized field of microtonalism is also supported by the design and construction of a number of novel instruments capable of producing various fractional pitches in the octave, including the digital synthesizer. However, despite the developing interest and activity, no consensus has yet been reached about the clearest and most logical notation for each degree of microtonal division of the half and whole step. This lack of an essential consensus on a suitable, standardized notation system has, in some cases, hampered the complete integration of microtonalism into western music. Bringing considerable expertise to bear, Read divides the volume into five sections, each addressing the notation of specific microtones. This volume is a comprehensive repository of the many attempts to find a logical notation for all degrees of microtonality. It represents an invaluable resource to anyone interested in studying the history and development of music notation, or in evaluating the many forms of microtonal notation in terms of their potential for contemporary notation. 20th-Century Microtonal Notation will be an important addition to the library collections of colleges and universities and will be of interest to composers, theorists, performers, and musicologists.
Divisions Of The Tetrachord
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Author : John H. Chalmers
language : en
Publisher:
Release Date : 1993
Divisions Of The Tetrachord written by John H. Chalmers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Music categories.
Interval
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Author :
language : en
Publisher:
Release Date : 1987
Interval written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Microtonal music categories.