Mathematical and Computational Modeling of Tonality Theory and Applications /

• Main Author: Chew, Elaine (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US : Imprint: Springer, 2014.
• Series: International Series in Operations Research & Management Science, 204
• Subjects: Business.; Music.; Operations research.; Decision making.; Computer mathematics.; Cognitive psychology.; Business and Management.; Operation Research/Decision Theory.; Computational Mathematics and Numerical Analysis.; Cognitive Psychology.

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 mo...

Table of Contents:

• 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.