Titel: Mathematical and Computational Modeling of Tonality: Theory and Applications (International Series in Operations Research & Management Science, 204)
Verlag: Springer
Erscheinungsjahr: 2016
Sprache: Englisch
ISBN-10: 1489979298
ISBN-13: 9781489979292
Einband: Softcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

From the Preface:

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.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

50+ Million Books in stock & ready to ship! Excellent Prices, Service & Selection.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

When you see an item on our listing, it means we have it available in one of our warehouses right here right now, ready for same day or next day processing of your order. Over 50+ Million books in stock & ready to ship same day. Customer Service is a top priority for us, we want every customer to be 100% satisfied. We offer the world's largest selection of books, music and video. Maintaining an accurate inventory of more than 50+ Million items, we are able to ship your order the same day it is r...

Mehr Information

Widerrufsbelehrung

Versandbedingungen

SUPER FAST SHIPPING!

Versandkosten von USA nach Deutschland

Versandkosten von USA nach Deutschland
Bestellmenge	20 bis 30�Werktage	15 bis 25�Werktage
Erster Artikel	EUR 25.78	EUR 85.97

Die Versandzeiten werden von den Verk�uferinnen und Verk�ufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, k�nnen Verz�gerungen unterliegen. Eventuell anfallende Abgaben oder Geb�hren sind von der K�uferin bzw. dem K�ufer zu tragen. Die Verk�uferin bzw. der Verk�ufer kann Sie bez�glich zus�tzlicher Versandkosten kontaktieren, um einen m�glichen Anstieg der Versandkosten f�r Ihre Artikel auszugleichen.