The Topos of Music - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Topos of Music write by Guerino Mazzola. This book was released on 2012-12-06. The Topos of Music available in PDF, EPUB and Kindle. With contributions by numerous experts
The Topos of Music I: Theory
The Topos of Music I: Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Topos of Music I: Theory write by Guerino Mazzola. This book was released on 2018-03-28. The Topos of Music I: Theory available in PDF, EPUB and Kindle. 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.
The Topos of Music
The Topos of Music - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Topos of Music write by Guerino Mazzola. This book was released on 2018-04-12. The Topos of Music available in PDF, EPUB and Kindle. This four-volume set is the second edition of the now classic book “The Topos of Music”. In Vol. I 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. In Vol. II the author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. Volume III presents 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. Finally, Vol. IV contains appendices, explaining background topics in sound, mathematics, and music.
Musical Creativity
Musical Creativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Musical Creativity write by Guerino Mazzola. This book was released on 2011-11-03. Musical Creativity available in PDF, EPUB and Kindle. 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.
Topos Theory
Topos Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topos Theory write by P.T. Johnstone. This book was released on 2014-01-15. Topos Theory available in PDF, EPUB and Kindle. Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition.
