MATHEMATICAL AND COMPUTATIONAL MODELING OF TONALITY (HB 2014)
Chew, Elaine
Verkauft von Romtrade Corp., STERLING HEIGHTS, MI, USA
AbeBooks-Verkäufer seit 17. April 2013
Neu - Hardcover
Zustand: Neu
Anzahl: 1 verfügbar
In den Warenkorb legenVerkauft von Romtrade Corp., STERLING HEIGHTS, MI, USA
AbeBooks-Verkäufer seit 17. April 2013
Zustand: Neu
Anzahl: 1 verfügbar
In den Warenkorb legenThis is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
Bestandsnummer des Verkäufers ABNR-291142
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.
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.
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