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The Topos of Music: Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola (Hardcover, 2002)

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Product Information

Since Greek antiquity it has been a tradition of European thinking to describe musical facts in a mathematical language. This formal apparatus has always mirrored the status quo of mathematical knowledge and the requirements of current sound technology. The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Tone. It reflects the dramatic progress of mathematical music theory and its implementation by information technology since the publication of Geometrie der Tonein 1990. The conceptual basis has been vastly generalized to topostheoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies. The probably most exciting new field of research in music deals with performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory is the key to inverse performance theory, an advanced new research field which deals with the calculation of varieties of parameters that give rise to a determined performance. This field uses techniques of algebraic geometry and statistics, approaches which have already produced significant results in the understanding of even highest-ranked human performances.

Product Identifiers

Publisher
Birkhauser Verlag Ag
ISBN-13
9783764357313
eBay Product ID (ePID)
95246902

Product Key Features

Author
Guerino Mazzola
Publication Name
The Topos of Music: Geometric Logic of concepts, Theory, and Performance
Format
Hardcover
Language
English
Subject
Science, Mathematics
Publication Year
2002
Type
Textbook
Number of Pages
1344 Pages

Dimensions

Item Height
254mm
Item Width
178mm
Item Weight
2838g

Additional Product Features

Title_Author
Guerino Mazzola
Country/Region of Manufacture
Switzerland

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The Topos of Music: Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola (Hardcover, 2002)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

The Falsification of History: Our Distorted Reality by John Hamer (Paperback, 2013)

In-Basket Case Studies by Guy Adamson (Paperback, 1986)

Empire of the Summer Moon: Quanah Parker and the Rise and Fall of the Comanches, the Most Powerful Indian Tribe in American History by S.C. Gwynne (Paperback, 2011)

Botanical Field Guide by Stefan Mager (Fold-out book or chart, 2021)

Save on Adult Learning & University

Netter Atlas of Human Anatomy: Classic Regional Approach

Havard's Nursing Guide to Drugs

Steven Holzner Physics Essentials For Dummies (Paperback)

T. Jared Bunch Matthew LaPlante John D. Day The AFib Cure (Paperback)

Care of People with Diabetes: A Manual for Healthcare Practice

The Fourth Turning By Neil Howe, William Strauss

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