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The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories.
Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians.
The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories.
Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians.
Applies concepts and methods to the concrete making of time in composition and performance
A new mathematically explicit, precise theory of time in music
First work of its kind
Part I Ontological Orientation.- 1. Ontology, Oniontology, and the (History and Present Stage.- 5. Genealogy and Ontology of Human Time Perception.- Part III Musical Time Concepts.- 6. Meters and Rhythm.- 7. Structures of Organized Time.- 8. Musical Gestures.- 9. Kramer's Time Concepts.- 10. Distributed Identity in Music.- Part IV New Developments on Musical Time Concepts.- 11. Limits of Gestural Diagrams.- 12. Imaginary Time.- 13. Mathematical Modeling Kramer's Time Concepts.- 14. Functorial Semiotics of Time.- 15. Jordon, Chris, and Renan: Application of these theories.- 16. Experiments with Local and Global Rhythms.- Part V Conclusions.- 17. Time Constructs as a Deeply Musical Endeavor.- 18. Art of Time.- 19. Human Create their Own Time.- Part VI References, Index.
Erscheinungsjahr: | 2022 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Computational Music Science |
Inhalt: |
xiii
265 S. 60 s/w Illustr. 40 farbige Illustr. 265 p. 100 illus. 40 illus. in color. |
ISBN-13: | 9783030856311 |
ISBN-10: | 3030856313 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Mazzola, Guerino
Lubet, Alex Dey, Sangeeta Goebel, Jordon Rochester, Christopher Pang, Yan |
Auflage: | 1st ed. 2021 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Computational Music Science |
Maße: | 235 x 155 x 16 mm |
Von/Mit: | Guerino Mazzola (u. a.) |
Erscheinungsdatum: | 17.11.2022 |
Gewicht: | 0,429 kg |
Applies concepts and methods to the concrete making of time in composition and performance
A new mathematically explicit, precise theory of time in music
First work of its kind
Part I Ontological Orientation.- 1. Ontology, Oniontology, and the (History and Present Stage.- 5. Genealogy and Ontology of Human Time Perception.- Part III Musical Time Concepts.- 6. Meters and Rhythm.- 7. Structures of Organized Time.- 8. Musical Gestures.- 9. Kramer's Time Concepts.- 10. Distributed Identity in Music.- Part IV New Developments on Musical Time Concepts.- 11. Limits of Gestural Diagrams.- 12. Imaginary Time.- 13. Mathematical Modeling Kramer's Time Concepts.- 14. Functorial Semiotics of Time.- 15. Jordon, Chris, and Renan: Application of these theories.- 16. Experiments with Local and Global Rhythms.- Part V Conclusions.- 17. Time Constructs as a Deeply Musical Endeavor.- 18. Art of Time.- 19. Human Create their Own Time.- Part VI References, Index.
Erscheinungsjahr: | 2022 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Computational Music Science |
Inhalt: |
xiii
265 S. 60 s/w Illustr. 40 farbige Illustr. 265 p. 100 illus. 40 illus. in color. |
ISBN-13: | 9783030856311 |
ISBN-10: | 3030856313 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: |
Mazzola, Guerino
Lubet, Alex Dey, Sangeeta Goebel, Jordon Rochester, Christopher Pang, Yan |
Auflage: | 1st ed. 2021 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Computational Music Science |
Maße: | 235 x 155 x 16 mm |
Von/Mit: | Guerino Mazzola (u. a.) |
Erscheinungsdatum: | 17.11.2022 |
Gewicht: | 0,429 kg |