Mathematical and Computational Modeling of Tonality

Theory and Applications

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Business & Finance, Management & Leadership, Operations Research
Cover of the book Mathematical and Computational Modeling of Tonality by Elaine Chew, Springer US
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Elaine Chew ISBN: 9781461494751
Publisher: Springer US Publication: December 13, 2013
Imprint: Springer Language: English
Author: Elaine Chew
ISBN: 9781461494751
Publisher: Springer US
Publication: December 13, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer US

Cover of the book Coronary flow reserve - measurement and application: Focus on transthoracic Doppler echocardiography by Elaine Chew
Cover of the book Somatostatin by Elaine Chew
Cover of the book Contemporary Perspectives on Psychotherapy with Lesbians and Gay Men by Elaine Chew
Cover of the book Self-Handicapping by Elaine Chew
Cover of the book Internet Links for Science Education by Elaine Chew
Cover of the book Quantified Societal Risk and Policy Making by Elaine Chew
Cover of the book ELF and VLF Electromagnetic Field Effects by Elaine Chew
Cover of the book The Rehabilitation of Cognitive Disabilities by Elaine Chew
Cover of the book Operational Logistics by Elaine Chew
Cover of the book Advances in Nutrition and Cancer 2 by Elaine Chew
Cover of the book Multi-Wafer Rotating MEMS Machines by Elaine Chew
Cover of the book Bergey's Manual® of Systematic Bacteriology by Elaine Chew
Cover of the book Copolymerization by Elaine Chew
Cover of the book Building Healthy Communities for Positive Youth Development by Elaine Chew
Cover of the book Multimedia Systems and Techniques by Elaine Chew
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy