The Topos Of Music Iv Roots
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The Topos Of Music Iv Roots
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Author : Guerino Mazzola
language : en
Publisher: Springer
Release Date : 2018-03-29
The Topos Of Music Iv Roots written by Guerino Mazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Mathematics categories.
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.
Functorial Semiotics For Creativity In Music And Mathematics
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Author : Guerino Mazzola
language : en
Publisher: Springer Nature
Release Date : 2022-04-23
Functorial Semiotics For Creativity In Music And Mathematics written by Guerino Mazzola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-23 with Mathematics categories.
This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory. Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Čech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence). The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.
Creativity And Theory In Musicianship
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Author : Guerino Mazzola
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-03-31
Creativity And Theory In Musicianship written by Guerino Mazzola and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Music categories.
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.
Classification Of Musical Objects For Analysis And Composition
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Author : Linshujie Zheng
language : en
Publisher: Springer Nature
Release Date : 2023-07-01
Classification Of Musical Objects For Analysis And Composition written by Linshujie Zheng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-01 with Mathematics categories.
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.
The Topos Of Music Iii Gestures
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Author : Guerino Mazzola
language : en
Publisher: Springer
Release Date : 2018-03-28
The Topos Of Music Iii Gestures written by Guerino Mazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-28 with Mathematics categories.
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 Ii Performance
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Author : Guerino Mazzola
language : en
Publisher: Springer
Release Date : 2018-03-28
The Topos Of Music Ii Performance written by Guerino Mazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-28 with Mathematics categories.
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.
The Topos Of Music I Theory
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Author : Guerino Mazzola
language : en
Publisher: Springer
Release Date : 2018-03-28
The Topos Of Music I Theory written by Guerino Mazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-28 with Mathematics categories.
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
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Author : Guerino Mazzola
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Topos Of Music written by Guerino Mazzola and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
With contributions by numerous experts
Representing African Music
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Author : Kofi Agawu
language : en
Publisher: Routledge
Release Date : 2014-04-23
Representing African Music written by Kofi Agawu and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-23 with Music categories.
The aim of this book is to stimulate debate by offering a critique of discourse about African music. Who writes about African music, how, and why? What assumptions and prejudices influence the presentation of ethnographic data? Even the term "African music" suggests there is an agreed-upon meaning, but African music signifies differently to different people. This book also poses the question then, "What is African music?" Agawu offers a new and provocative look at the history of African music scholarship that will resonate with students of ethnomusicology and post-colonial studies. He offers an alternative "Afro-centric" means of understanding African music, and in doing so, illuminates a different mode of creativity beyond the usual provenance of Western criticism. This book will undoubtedly inspire heated debate--and new thinking--among musicologists, cultural theorists, and post-colonial thinkers. Also includes 15 musical examples.
The Future Of Music
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Author : Guerino Mazzola
language : en
Publisher: Springer Nature
Release Date : 2020-03-21
The Future Of Music written by Guerino Mazzola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-21 with Mathematics categories.
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.