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The Topos of Music II: Performance by Guerino Mazzola Pdf
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.
Creativity and Theory in Musicianship by Guerino Mazzola,Yan Pang,Jason "J-Sun" Noer,Jordon Goebel Pdf
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.
The Topos of Music I: Theory by Guerino Mazzola Pdf
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 Future of Music by Guerino Mazzola,Jason Noer,Yan Pang,Shuhui Yao,Jay Afrisando,Christopher Rochester,William Neace Pdf
The idea of this monograph is to present an overview of decisive theoretical, computational, technological, aesthetical, artistic, economical, and sociological directions to create future music. It features a unique insight into dominant scientific and artistic new directions, which are guaranteed by the authors' prominent publications in books, software, musical, and dance productions. Applying recent research results from mathematical and computational music theory and software as well as new ideas of embodiment approaches and non-Western music cultures, this book presents new composition methods and technologies. Mathematical, computational, and semiotic models of artistic presence (imaginary time, gestural creativity) as well as strategies are also covered. This book will be of interest to composers, music technicians, and organizers in the internet-based music industry, who are offered concrete conceptual architectures and tools for their future strategies in musical creativity and production.
Mathematics and Computation in Music by Mariana Montiel,Francisco Gomez-Martin,Octavio A. Agustín-Aquino Pdf
This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. The chapter “Distant Neighbors and Interscalar Contiguities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Classification of Musical Objects for Analysis and Composition by Linshujie Zheng,Guerino Mazzola Pdf
This book presents and discusses the fundamental topic of classification of musical objects, such as chords, motifs, and gestures. Their classification deals with the exhibition of isomorphism classes. Our structure types include local and global constructions, the latter being similar to global structures in geometry, such as differentiable manifolds. The discussion extends to the role, which classification plays for the creative construction of musical compositions. Our examples include references to classical compositions, such as Beethoven’s sonatas, and some of the author’s own compositions of classical and jazz styles. We also discuss software that enables the application of classification to musical creativity. The volume is addressed to an audience that would apply classification to programming and creative musical construction.
Musical Creativity by Guerino Mazzola,Joomi Park,Florian Thalmann Pdf
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.
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.
The Topos of Music III: Gestures by Guerino Mazzola,René Guitart,Jocelyn Ho,Alex Lubet,Maria Mannone,Matt Rahaim,Florian Thalmann Pdf
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 IV: Roots by Guerino Mazzola Pdf
This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; complements in physics, including a discussion on string theory; and tables with chord classes and modulation steps.
Experiencing Liveness in Contemporary Performance by Matthew Reason,Anja Mølle Lindelof Pdf
This volume brings together dynamic perspectives on the concept of liveness in the performing arts, engaging with the live through the particular analytical focus of audiences and experience. The status and significance of the live in performance has become contested: perceived as variously as a marker of ontological difference, a promotional slogan, or a mystical evocation of cultural value. Moving beyond debates about the relationship between the live and the mediated, this collection considers what we can know and say about liveness in terms of processes of experiencing and processes of making. Drawing together contributions from theatre, music, dance, and performance art, it takes an interdisciplinary approach in asking not what liveness is, but how it matters and to whom. The book invites readers to consider how liveness is produced through processes of audiencing - as spectators bring qualities of (a)liveness into being through the nature of their attention - and how it becomes materialized in acts of performance, acts of making, acts of archiving, and acts of remembering. Theoretical chapters and practice-based reflections explore liveness, eventness and nowness as key concepts in a range of topics such as affect, documentation, embodiment, fandom, and temporality, showing how the relationship between audience and event is rarely singular and more often malleable and multiple. With its focus on experiencing liveness, this collection will be of interest to disciplines including performance, audience and cultural studies, visual arts, cinema, and sound technologies.
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.
Cool Math for Hot Music by Guerino Mazzola,Maria Mannone,Yan Pang Pdf
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.
Studies on a Global History of Music by Reinhard Strohm Pdf
The idea of a global history of music may be traced back to the Enlightenment, and today, the question of a conceptual framework for a history of music that pays due attention to global relationships in music is often raised. But how might a historical interpretation of those relationships proceed? How should it position, or justify, itself? What would 'Western music' look like in an account of music history that aspires to be truly global? The studies presented in this volume aim to promote post-European historical thinking. They are based on the idea that a global history of music cannot be one single, hegemonic history. They rather explore the paradigms and terminologies that might describe a history of many different voices. The chapters address historical practices and interpretations of music in different parts of the world, from Japan to Argentina and from Mexico to India. Many of these narratives are about relations between these cultures and the Western tradition; several also consider socio-political and historical circumstances that have affected music in the various regions. The book addresses aspects that Western musical historiography has tended to neglect even when looking at its own culture: performance, dance, nostalgia, topicality, enlightenment, the relationships between traditional, classical, and pop musics, and the regards croisés between European, Asian, or Latin American interpretations of each other’s musical traditions. These studies have been derived from the Balzan Musicology Project Towards a Global History of Music (2013–2016), which was funded by the International Balzan Foundation through the award of the Balzan Prize in Musicology to the editor, and designed by music historians and ethnomusicologists together. A global history of music may never be written in its entirety, but will rather be realised through interaction, practice, and discussion, in all parts of the world.