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The Topos of Music III: Gestures

The Topos of Music III: Gestures
Author: Guerino Mazzola
Publisher: Springer
Total Pages: 604
Release: 2018-03-28
Genre: Mathematics
ISBN: 3319644815

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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.


The Topos of Music

The Topos of Music
Author: Guerino Mazzola
Publisher: Birkhäuser
Total Pages: 1310
Release: 2012-12-06
Genre: Mathematics
ISBN: 303488141X

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With contributions by numerous experts


Flow, Gesture, and Spaces in Free Jazz

Flow, Gesture, and Spaces in Free Jazz
Author: Guerino Mazzola
Publisher: Springer Science & Business Media
Total Pages: 140
Release: 2008-12-21
Genre: Music
ISBN: 3540921958

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Free jazz, as performed by such artists as John Coltrone and Archie Shepp, is a creative, collaborative art form. This book examines free jazz and develops geometric theories of gestures and distributed identities, also known as swarm intelligence.


Musical Creativity

Musical Creativity
Author: Guerino Mazzola
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2011-11-03
Genre: Computers
ISBN: 364224517X

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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.


The Topos of Music II: Performance

The Topos of Music II: Performance
Author: Guerino Mazzola
Publisher: Springer
Total Pages: 408
Release: 2018-03-28
Genre: Mathematics
ISBN: 3319644440

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This is the second volume of the second edition of the now classic book “The Topos of Music”. The author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. The author also shows how Rubato, a software platform for composition, analysis, and performance, allows an experimental evaluation of principles of expressive performance theories.


Cool Math for Hot Music

Cool Math for Hot Music
Author: Guerino Mazzola
Publisher: Springer
Total Pages: 314
Release: 2016-10-26
Genre: Computers
ISBN: 331942937X

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This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.


Rhythmic Gesture in Mozart

Rhythmic Gesture in Mozart
Author: Wye Jamison Allanbrook
Publisher: University of Chicago Press
Total Pages: 409
Release: 2016-05-06
Genre: Biography & Autobiography
ISBN: 022643771X

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Wye Jamison Allanbrook’s widely influential Rhythmic Gesture in Mozart challenges the view that Wolfgang Amadeus Mozart’s music was a “pure play” of key and theme, more abstract than that of his predecessors. Allanbrook’s innovative work shows that Mozart used a vocabulary of symbolic gestures and musical rhythms to reveal the nature of his characters and their interrelations. The dance rhythms and meters that pervade his operas conveyed very specific meanings to the audiences of the day.


Creativity and Theory in Musicianship

Creativity and Theory in Musicianship
Author: Guerino Mazzola
Publisher: Cambridge Scholars Publishing
Total Pages: 149
Release: 2023-03-31
Genre: Music
ISBN: 1527501574

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This book fills a gap between theory and creativity in musicianship. This frequently observed gap fixes theory as a rigidified level of thought, where creativity is excluded from a canonized corpus of ideas. Creativity, on the other hand, is preconceived as a theory-less, wild activity that blossoms while performing pre-composed musical structures. This book provides a discussion of the creative drive in theory and theory-inspired thoughts while understanding how these ideas shape performance. The future of music is only as limited as one’s imagination, and, to this end, the text illuminates examples of creative musicianship.


Musical Performance

Musical Performance
Author: Guerino Mazzola
Publisher: Springer Science & Business Media
Total Pages: 285
Release: 2010-11-16
Genre: Computers
ISBN: 3642118380

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This book is a first sketch of what the overall field of performance could look like as a modern scientific field but not its stylistically differentiated practice, pedagogy, and history. Musical performance is the most complex field of music. It comprises the study of a composition’s expression in terms of analysis, emotion, and gesture, and then its transformation into embodied reality, turning formulaic facts into dramatic movements of human cognition. Combining these components in a creative way is a sophisticated mix of knowledge and mastery, which more resembles the cooking of a delicate recipe than a rational procedure. This book is the first one aiming at such comprehensive coverage of the topic, and it does so also as a university text book. We include musicological and philosophical aspects as well as empirical performance research. Presenting analytical tools and case studies turns this project into a demanding enterprise in construction and experimental setups of performances, especially those generated by the music software Rubato. We are happy that this book was written following a course for performance students at the School of Music of the University of Minnesota. Their education should not be restricted to the canonical practice. They must know the rationale for their performance. It is not sufficient to learn performance with the old-fashioned imitation model of the teacher's antetype, this cannot be an exclusive tool since it dramatically lacks the poetical precision asked for by Adorno's and Benjamin's micrologic. Without such alternatives to intuitive imitation, performance risks being disconnected from the audience.