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020 _a9783030856298
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024 7 _a10.1007/978-3-030-85629-8
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072 7 _aMAT002010
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072 7 _aPBF
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082 0 4 _a512.6
_223
100 1 _aMazzola, Guerino.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMaking Musical Time
_h[electronic resource] /
_cby Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXIII, 265 p. 100 illus., 40 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aComputational Music Science,
_x1868-0313
505 0 _aPart 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.
520 _aThis book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context. 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.
650 0 _aAlgebra, Homological.
650 0 _aMathematics
_xStudy and teaching .
650 1 4 _aCategory Theory, Homological Algebra.
650 2 4 _aMathematics Education.
700 1 _aLubet, Alex.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPang, Yan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGoebel, Jordon.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aRochester, Christopher.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aDey, Sangeeta.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030856281
776 0 8 _iPrinted edition:
_z9783030856304
776 0 8 _iPrinted edition:
_z9783030856311
830 0 _aComputational Music Science,
_x1868-0313
856 4 0 _uhttps://doi.org/10.1007/978-3-030-85629-8
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c178383
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