The Topos Of Music Iv Roots

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The Topos of Music IV: Roots

Author : Guerino Mazzola
Publisher : Springer
Page : 325 pages
File Size : 46,5 Mb
Release : 2018-03-29
Category : Mathematics
ISBN : 9783319644950

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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.

Functorial Semiotics for Creativity in Music and Mathematics

Author : Guerino Mazzola,Sangeeta Dey,Zilu Chen,Yan Pang
Publisher : Springer Nature
Page : 166 pages
File Size : 41,9 Mb
Release : 2022-04-23
Category : Mathematics
ISBN : 9783030851903

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Functorial Semiotics for Creativity in Music and Mathematics by Guerino Mazzola,Sangeeta Dey,Zilu Chen,Yan Pang Pdf

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

Author : Guerino Mazzola,Yan Pang,Jason "J-Sun" Noer,Jordon Goebel
Publisher : Cambridge Scholars Publishing
Page : 149 pages
File Size : 42,5 Mb
Release : 2023-03-31
Category : Music
ISBN : 9781527501577

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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.

Classification of Musical Objects for Analysis and Composition

Author : Linshujie Zheng,Guerino Mazzola
Publisher : Springer Nature
Page : 156 pages
File Size : 53,5 Mb
Release : 2023-07-01
Category : Mathematics
ISBN : 9783031301834

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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.

The Topos of Music III: Gestures

Author : Guerino Mazzola,René Guitart,Jocelyn Ho,Alex Lubet,Maria Mannone,Matt Rahaim,Florian Thalmann
Publisher : Springer
Page : 604 pages
File Size : 47,7 Mb
Release : 2018-03-28
Category : Mathematics
ISBN : 9783319644813

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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 II: Performance

Author : Guerino Mazzola
Publisher : Springer
Page : 408 pages
File Size : 42,5 Mb
Release : 2018-03-28
Category : Mathematics
ISBN : 9783319644448

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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.

The Topos of Music I: Theory

Author : Guerino Mazzola
Publisher : Springer
Page : 656 pages
File Size : 47,6 Mb
Release : 2018-03-28
Category : Mathematics
ISBN : 9783319643649

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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 Topos of Music

Author : Guerino Mazzola
Publisher : Birkhäuser
Page : 1310 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034881418

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The Topos of Music by Guerino Mazzola Pdf

With contributions by numerous experts

Representing African Music

Author : Kofi Agawu
Publisher : Routledge
Page : 292 pages
File Size : 53,9 Mb
Release : 2014-04-23
Category : Music
ISBN : 9781317794059

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Representing African Music by Kofi Agawu Pdf

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

Author : Guerino Mazzola,Jason Noer,Yan Pang,Shuhui Yao,Jay Afrisando,Christopher Rochester,William Neace
Publisher : Springer Nature
Page : 237 pages
File Size : 49,5 Mb
Release : 2020-03-21
Category : Mathematics
ISBN : 9783030397098

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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.

The Computer Music Tutorial, second edition

Author : Curtis Roads
Publisher : MIT Press
Page : 1287 pages
File Size : 41,6 Mb
Release : 2023-06-06
Category : Computers
ISBN : 9780262361545

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The Computer Music Tutorial, second edition by Curtis Roads Pdf

Expanded, updated, and fully revised—the definitive introduction to electronic music is ready for new generations of students. Essential and state-of-the-art, The Computer Music Tutorial, second edition is a singular text that introduces computer and electronic music, explains its motivations, and puts topics into context. Curtis Roads’s step-by-step presentation orients musicians, engineers, scientists, and anyone else new to computer and electronic music. The new edition continues to be the definitive tutorial on all aspects of computer music, including digital audio, signal processing, musical input devices, performance software, editing systems, algorithmic composition, MIDI, and psychoacoustics, but the second edition also reflects the enormous growth of the field since the book’s original publication in 1996. New chapters cover up-to-date topics like virtual analog, pulsar synthesis, concatenative synthesis, spectrum analysis by atomic decomposition, Open Sound Control, spectrum editors, and instrument and patch editors. Exhaustively referenced and cross-referenced, the second edition adds hundreds of new figures and references to the original charts, diagrams, screen images, and photographs in order to explain basic concepts and terms. Features New chapters: virtual analog, pulsar synthesis, concatenative synthesis, spectrum analysis by atomic decomposition, Open Sound Control, spectrum editors, instrument and patch editors, and an appendix on machine learning Two thousand references support the book’s descriptions and point readers to further study Mathematical notation and program code examples used only when necessary Twenty-five years of classroom, seminar, and workshop use inform the pace and level of the material

The Monteverdi Vespers of 1610 : Music, Context, Performance

Author : Jeffrey Kurtzman
Publisher : Clarendon Press
Page : 626 pages
File Size : 43,7 Mb
Release : 2000-01-06
Category : Electronic
ISBN : 9780191590719

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The Monteverdi Vespers of 1610 : Music, Context, Performance by Jeffrey Kurtzman Pdf

This is a thorough-going study of Monteverdi's Vespers, the single most significant and most widely known musical print from before the time of J.S. Bach. The author examines Monteverdi's Vespers from multiple perspectives, combining his own research with all that is known and thought of the Vespers by other scholars. The historical origin as well as the musical and liturgical context of the Vespers are surveyed; similarly the controversial historiography of the Vespers in the nineteenth and twentieth centuries is scrutinized and evaluated. A series of analytical chapters attempt to clarify Monteverdi's compositional process and the relationship between music and text in the light of recent research on modal and tonal aspects of early seventeenth century music. The final section is devoted to thirteen chapters investigating performance practice issues of the early seventeenth century and their application to the Vespers, including general and specific recommendations for performance where appropriate. The book concludes with a series of informational appendices, including the psalm cursus for Vespers of all major feasts in the liturgical calendar, texts, and structural outlines for the Vespers compositions based on a cantus firmus, an analytical discography, and bibliographies of seventeenth-century musical and theoretical sources.

Music, Mathematics and Language

Author : Keiji Hirata,Satoshi Tojo,Masatoshi Hamanaka
Publisher : Springer Nature
Page : 264 pages
File Size : 49,7 Mb
Release : 2022-12-05
Category : Computers
ISBN : 9789811951664

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Music, Mathematics and Language by Keiji Hirata,Satoshi Tojo,Masatoshi Hamanaka Pdf

This book presents a new approach to computational musicology in which music becomes a computational entity based on human cognition, allowing us to calculate music like numbers. Does music have semantics? Can the meaning of music be revealed using symbols and described using language? The authors seek to answer these questions in order to reveal the essence of music. Chapter 1 addresses a very fundamental point, the meaning of music, while referring to semiotics, gestalt, Schenkerian analysis and cognitive reality. Chapter 2 considers why the 12-tone equal temperament came to be prevalent. This chapter serves as an introduction to the mathematical definition of harmony, which concerns the ratios of frequency in tonic waves. Chapter 3, “Music and Language,” explains the fundamentals of grammar theory and the compositionality principle, which states that the semantics of a sentence can be composed in parallel to its syntactic structure. In turn, Chapter 4 explains the most prevalent score notation – the Berklee method, which originated at the Berklee School of Music in Boston – from a different point of view, namely, symbolic computation based on music theory. Chapters 5 and 6 introduce readers to two important theories, the implication-realization model and generative theory of tonal music (GTTM), and explain the essence of these theories, also from a computational standpoint. The authors seek to reinterpret these theories, aiming at their formalization and implementation on a computer. Chapter 7 presents the outcomes of this attempt, describing the framework that the authors have developed, in which music is formalized and becomes computable. Chapters 8 and 9 are devoted to GTTM analyzers and the applications of GTTM. Lastly, Chapter 10 discusses the future of music in connection with computation and artificial intelligence. This book is intended both for general readers who are interested in music, and scientists whose research focuses on music information processing. In order to make the content as accessible as possible, each chapter is self-contained.

Heavy Metal, Gender and Sexuality

Author : Florian Heesch,Niall Scott
Publisher : Routledge
Page : 306 pages
File Size : 51,9 Mb
Release : 2016-07-07
Category : Music
ISBN : 9781317122982

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Heavy Metal, Gender and Sexuality by Florian Heesch,Niall Scott Pdf

Heavy Metal, Gender and Sexuality brings together a collection of original, interdisciplinary, critical essays exploring the negotiated place of gender and sexuality in heavy metal music and its culture. Scholars debate the current state of play concerning masculinities, femininities, queerness, identity aesthetics and monstrosities in an area of music that is sometimes mistakenly treated as exclusively sustaining a masculinist hegemony. The book combines a broad variety of perspectives on the main topic, regarding gender in connection to: the history of the genre; the range of metal subgenres; heavy metal's multidimensional scope (music, lyrics, performance, style, illustrations); men and women; sexualities and various local and global perspectives. Heavy Metal, Gender and Sexuality is a text that opens up the world of heavy metal to reveal that it is a very diverse and ground-breaking stage where gender play is at the centre of its theatricality and sustains its mass appeal.

The Politics of Vibration

Author : Marcus Boon
Publisher : Duke University Press
Page : 181 pages
File Size : 42,8 Mb
Release : 2022-08-08
Category : Music
ISBN : 9781478023012

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The Politics of Vibration by Marcus Boon Pdf

In The Politics of Vibration Marcus Boon explores music as a material practice of vibration. Focusing on the work of three contemporary musicians—Hindustani classical vocalist Pandit Pran Nath, Swedish drone composer and philosopher Catherine Christer Hennix, and Houston-based hip-hop musician DJ Screw—Boon outlines how music constructs a vibrational space of individual and collective transformation. Contributing to a new interdisciplinary field of vibration studies, he understands vibration as a mathematical and a physical concept, as a religious or ontological force, and as a psychological determinant of subjectivity. Boon contends that music, as a shaping of vibration, needs to be recognized as a cosmopolitical practice—in the sense introduced by Isabelle Stengers—in which what music is within a society depends on what kinds of access to vibration are permitted, and to whom. This politics of vibration constitutes the hidden ontology of contemporary music because the organization of vibration shapes individual music scenes as well as the ethical choices that participants in these scenes make about how they want to live in the world.