Description
Mathematical and Computational Modeling of Tonality, Softcover reprint of the original 1st ed. 2014
Theory and Applications
International Series in Operations Research & Management Science Series, Vol. 204
Author: Chew Elaine
Language: EnglishSubjects for Mathematical and Computational Modeling of Tonality:
Approximative price 158.24 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Chew ElainePublication date: 08-2016
Support: Print on demand
Approximative price 158.24 €
In Print (Delivery period: 15 days).
Add to cart the book of Chew ElainePublication date: 12-2013
305 p. · 15.5x23.5 cm · Hardback
Description
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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.
First book to connect mathematical representations of music with computational approaches to problem solving
Presents author’s Spiral Array geometric model for tonality
Author is known worldwide and uniquely qualified as both concert pianist and PhD in Operations Research
Includes supplementary material: sn.pub/extras