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Mathematical and computational modeling of tonality [electronic resource] : theory and applications

Mathematical and computational modeling of tonality [electronic resource] : theory and applications

자료유형
E-Book(소장)
개인저자
Chew, Elaine.
서명 / 저자사항
Mathematical and computational modeling of tonality [electronic resource] : theory and applications / Elaine Chew.
발행사항
New York :   Springer US :   Imprint: Springer,   2014.  
형태사항
1 online resource (xiv, 305 p.) : ill. (some col.).
총서사항
International series in operations research & management science,0884-8289 ; 204
ISBN
9781461494751
요약
From the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of “spiral” here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved.
일반주기
Title from e-Book title page.  
내용주기
Tonality -- An Abbreviated Survey -- The Spiral Array -- The CEG Algorithm (Part I) -- The CEG Algorithm (Part II): Validation -- Determining Key Boundaries -- Argus Segmentation Method -- Real-Time Pitch Spelling -- MuSA.RT -- Visible Humor -- Sensitivity Analysis -- Model Calibration -- CEG Key Finding: Bach's WTC book I.
서지주기
Includes bibliographical references and indexes.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Tonality --Mathematical models. Tonality --Computer simulation.
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020 ▼a 9781461494751
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050 4 ▼a ML3811
082 0 4 ▼a 781.258 ▼2 23
084 ▼a 781.258 ▼2 DDCK
090 ▼a 781.258
100 1 ▼a Chew, Elaine.
245 1 0 ▼a Mathematical and computational modeling of tonality ▼h [electronic resource] : ▼b theory and applications / ▼c Elaine Chew.
260 ▼a New York : ▼b Springer US : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xiv, 305 p.) : ▼b ill. (some col.).
490 1 ▼a International series in operations research & management science, ▼x 0884-8289 ; ▼v 204
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and indexes.
505 0 ▼a Tonality -- An Abbreviated Survey -- The Spiral Array -- The CEG Algorithm (Part I) -- The CEG Algorithm (Part II): Validation -- Determining Key Boundaries -- Argus Segmentation Method -- Real-Time Pitch Spelling -- MuSA.RT -- Visible Humor -- Sensitivity Analysis -- Model Calibration -- CEG Key Finding: Bach's WTC book I.
520 ▼a From the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of “spiral” here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Tonality ▼x Mathematical models.
650 0 ▼a Tonality ▼x Computer simulation.
830 0 ▼a International series in operations research & management science ; ▼v 204.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-1-4614-9475-1
945 ▼a KLPA
991 ▼a E-Book(소장)

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