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Author : Guerino Mazzola
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 41X/5 ( reviews)
Book Synopsis The Topos of Music by : Guerino Mazzola
Download or read book The Topos of Music written by Guerino Mazzola. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts
Author : Guerino Mazzola
Release : 2002-09-23
Genre : Mathematics
Kind : eBook
Book Rating : 313/5 ( reviews)
Book Synopsis The Topos of Music by : Guerino Mazzola
Download or read book The Topos of Music written by Guerino Mazzola. This book was released on 2002-09-23. Available in PDF, EPUB and Kindle. Book excerpt: The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic 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 deals with musical 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 which 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 highest-ranked human performances. The book's formal language and models are currently being used by leading researchers in Europe and Northern America and have become a foundation of music software design. This is also testified by the book's nineteen collaborators and the included CD-ROM containing software and music examples.
Author : Guerino Mazzola
Release : 2018-03-28
Genre : Mathematics
Kind : eBook
Book Rating : 649/5 ( reviews)
Book Synopsis The Topos of Music I: Theory by : Guerino Mazzola
Download or read book The Topos of Music I: Theory written by Guerino Mazzola. This book was released on 2018-03-28. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.
Author : Guerino Mazzola
Release : 2011-11-03
Genre : Computers
Kind : eBook
Book Rating : 17X/5 ( reviews)
Book Synopsis Musical Creativity by : Guerino Mazzola
Download or read book Musical Creativity written by Guerino Mazzola. This book was released on 2011-11-03. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a new approach to musical creativity, dealing with the semiotics, mathematical principles, and software for creativity processes. After a thorough introduction, the book offers a first practical part with a detailed tutorial for students in composition and improvisation, using musical instruments and music software. The second, theoretical part deals with historical, actual, and new principles of creative processes in music, based on the results and methods developed in the first author’s book Topos of Music and referring to semiotics, predicative objects, topos theory, and object-oriented concept architectures. The third part of the book details four case studies in musical creativity, including an analysis of the six variations of Beethoven's sonata op. 109, a discussion of the creative process in a CD coproduced in 2011 by the first and second authors, a recomposition of Boulez’s "Structures pour deux pianos" using the Rubato software module BigBang developed by the third author, and the Escher theorem from mathematical gesture theory in music. This is both a textbook addressed to undergraduate and graduate students of music composition and improvisation, and also a state-of-the-art survey addressed to researchers in creativity studies and music technology. The book contains summaries and end-of-chapter questions, and the authors have used the book as the main reference to teach an undergraduate creativity studies program and also to teach composition. The text is supported throughout with musical score examples.
Author : Guerino Mazzola
Release : 2018-03-28
Genre : Mathematics
Kind : eBook
Book Rating : 815/5 ( reviews)
Book Synopsis The Topos of Music III: Gestures by : Guerino Mazzola
Download or read book The Topos of Music III: Gestures written by Guerino Mazzola. This book was released on 2018-03-28. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.
