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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.    .

Aesthetics. --- Music -- Performance. --- Engineering & Applied Sciences --- Visual Arts --- Music --- Art, Architecture & Applied Arts --- Music, Dance, Drama & Film --- Music History & Criticism, Instrumental --- Computer Science --- Visual Arts - General --- Performance --- History. --- Research. --- Computer science. --- Multimedia systems. --- Algebraic topology. --- Computer Science. --- Media Design. --- Algebraic Topology. --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- History and criticism --- Topology --- Informatics --- Science --- Multimedia systems . --- Computer-based multimedia information systems --- Multimedia computing --- Multimedia information systems --- Multimedia knowledge systems --- Information storage and retrieval systems

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Creative ability. --- Mathematics --- Music --- Psychological aspects. --- Music psychology --- Math --- Science --- Creativeness --- Creativity --- Ability --- Creation (Literary, artistic, etc.) --- Psychology --- Creativitat --- Música --- Matemàtica --- Aspectes psicològics

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Both modern mathematical music theory and computer science are strongly influenced by the theory of categories and functors. One outcome of this research is the data format of denotators, which is based on set-valued presheaves over the category of modules and diaffine homomorphisms. The functorial approach of denotators deals with generalized points in the form of arrows and allows the construction of a universal concept architecture. This architecture is ideal for handling all aspects of music, especially for the analysis and composition of highly abstract musical works. This book presents an introduction to the theory of module categories and the theory of denotators, as well as the design of a software system, called Rubato Composer, which is an implementation of the category-theoretic concept framework. The application is written in portable Java and relies on plug-in components, so-called rubettes, which may be combined in data flow networks for the generation and manipulation of denotators. The Rubato Composer system is open to arbitrary extension and is freely available under the GPL license. It allows the developer to build specialized rubettes for tasks that are of interest to composers, who in turn combine them to create music. It equally serves music theorists, who use them to extract information from and manipulate musical structures. They may even develop new theories by experimenting with the many parameters that are at their disposal thanks to the increased flexibility of the functorial concept architecture. Two contributed chapters by Guerino Mazzola and Florian Thalmann illustrate the application of the theory as well as the software in the development of compositional tools and the creation of a musical work with the help of the Rubato framework.

Composition (Music) -- Computer programs. --- Composition (Music) -- Data processing. --- Rubato Composer (Computer file). --- Music Instruction & Study --- Music --- Music, Dance, Drama & Film --- Composition (Music) --- Computer programs. --- Data processing. --- Rubato Composer (Computer file) --- Composing (Music) --- Music composing --- Music composition --- Musical composition --- Composition --- Rubato (Computer file) --- Mathematics. --- Music. --- Application software. --- Multimedia systems. --- Category theory (Mathematics). --- Homological algebra. --- Computer mathematics. --- Computational Science and Engineering. --- Computer Appl. in Arts and Humanities. --- Media Design. --- Category Theory, Homological Algebra. --- Concertante style --- Computer science. --- Information systems. --- Algebra. --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Mathematics --- Mathematical analysis --- Informatics --- Science --- Multimedia systems . --- Homological algebra --- Algebra, Abstract --- Homology theory --- Computer mathematics --- Electronic data processing --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Computer-based multimedia information systems --- Multimedia computing --- Multimedia information systems --- Multimedia knowledge systems --- Information storage and retrieval systems --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software

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The scientific approach of this book transcends the limits of art literature in that it also develops geometric theories of gestures and distributed identities, also known as swarm intelligence. We exemplify this approach in the framework of free jazz, which is a prototypical creative and collaborative art form. Leader artists such as John Coltrane, Pharoah Sanders, Cecil Taylor, Sun Ra, The Art Ensemble of Chicago, Albert Ayler, Don Cherry, and Archie Shepp are presented in their strongest works and theories. The pillars of our theory of collaboration are built from psychologist Mihaly Csikszentmihalyi’s flow, physicist Gilles Châtelet’s gestures, and computer scientist Bill Wulf's collaboratories.

Free jazz -- Analysis, appreciation. --- Free jazz -- History and criticism. --- Free jazz. --- Gesture in music. --- Improvisation (Music). --- Engineering & Applied Sciences --- Art, Architecture & Applied Arts --- Computer Science --- Fine Arts - General --- Jazz --- Music theory --- Music --- Mathematics. --- Mathematical models. --- Data processing. --- Acoustics and physics. --- Philosophy and aesthetics. --- Hermeneutics (Music) --- Musical aesthetics --- Musical acoustics --- Musical theory --- Theory of music --- Accordion and piano music (Jazz) --- Clarinet and piano music (Jazz) --- Cornet and piano music (Jazz) --- Double bass and piano music (Jazz) --- Jazz duets --- Jazz ensembles --- Jazz music --- Jazz nonets --- Jazz octets --- Jazz quartets --- Jazz quintets --- Jazz septets --- Jazz sextets --- Jazz trios --- Jive (Music) --- Saxophone and piano music (Jazz) --- Vibraphone and piano music (Jazz) --- Wind instrument and piano music (Jazz) --- Xylophone and piano music (Jazz) --- Aesthetics --- Philosophy --- Physics --- Theory --- Culture --- Music. --- Artificial intelligence. --- Application software. --- Multimedia systems. --- Category theory (Mathematics). --- Homological algebra. --- Computer mathematics. --- Cultural and Media Studies. --- Computer Appl. in Arts and Humanities. --- Artificial Intelligence (incl. Robotics). --- Category Theory, Homological Algebra. --- Computational Science and Engineering. --- Media Design. --- Study and teaching. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Homological algebra --- Algebra, Abstract --- Homology theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Computer-based multimedia information systems --- Multimedia computing --- Multimedia information systems --- Multimedia knowledge systems --- Information storage and retrieval systems --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Cultural studies --- Mathematics --- Sound --- Monochord --- African Americans --- Third stream (Music) --- Washboard band music --- Information systems. --- Algebra. --- Computer science. --- Artificial Intelligence. --- Informatics --- Science --- Mathematical analysis --- Multimedia systems .

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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. --- Music. --- User interfaces (Computer systems). --- Application software. --- Performing arts. --- Mathematics in Music. --- User Interfaces and Human Computer Interaction. --- Computer Appl. in Arts and Humanities. --- Performing Arts. --- Show business --- Arts --- Performance art --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Interfaces, User (Computer systems) --- Human-machine systems --- Human-computer interaction --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Math --- Science --- Music theory. --- Music --- Musical theory --- Theory of music --- Theory --- User interfaces (Computer systems)