Mathematical and Computational Modeling of Tonality : Theory and Applications
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The work Mathematical and Computational Modeling of Tonality : Theory and Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Mathematical and Computational Modeling of Tonality : Theory and Applications
Resource Information
The work Mathematical and Computational Modeling of Tonality : Theory and Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Mathematical and Computational Modeling of Tonality : Theory and Applications
 Title remainder
 Theory and Applications
 Statement of responsibility
 by Elaine Chew
 Subject

 Consciousness
 Consciousness
 Economics
 Economics
 Economics
 Economics/Management Science
 Electronic resources
 Music
 Music
 Music
 Operation Research/Decision Theory
 Operations research
 Operations research
 Operations research
 Cognitive Psychology
 Computational Mathematics and Numerical Analysis
 Computer science  Mathematics
 Computer science  Mathematics
 Computer science  Mathematics
 Consciousness
 Language
 eng
 Summary
 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 scientistengineer interested in computational approaches to music representation and analysis, from the musicmathematical 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
 Image bit depth
 0
 LC call number
 HD30.23
 Literary form
 non fiction
 Series statement
 International Series in Operations Research & Management Science,
 Series volume
 204
Context
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