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001 978-3-031-30183-4
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020 _a9783031301834
_9978-3-031-30183-4
024 7 _a10.1007/978-3-031-30183-4
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT041000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aZheng, Linshujie.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aClassification of Musical Objects for Analysis and Composition
_h[electronic resource] /
_cby Linshujie Zheng, Guerino Mazzola.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aXII, 160 p. 33 illus., 25 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 Initial Orientation -- 1 The Basic Problem of Classification -- Part II General Formal Concepts -- 2 Ontology, Oniontology, and Creativity -- 3 Formal Representation of Musical Structures -- 4 Denotators over General Categories -- 5 Composition Denotators and Classification -- 6 Gestural Denotators: A First Overview -- 7 The Escher Theorem for Compositions and Gestures -- Part III Local Classification -- 8 Local Composition and Gesture Classification -- 9 Classification of Chords -- 10 Motif Classes -- 11 Third Chain Classes -- 12 Harmony through Third Chains -- 13 Counterpoint Worlds -- 14 Strong Interval Dichotomies -- 15 Microtonal Contrapuntal Theories -- 16 Dodecaphonic Rows -- Part IV Global Classification -- 17 Global Composition and Gesture Classification -- 18 The Classification Theorem for Global Compositions -- 19 The Classification Problem of Global Gestures -- 20 Singular Homology of Hypergestures -- 21 Local Gestures, Structures of Knots, and Local Gestures as Local Compositions -- Part V Classification and Creativity -- 22 Gestural Interpretation and Future Developments -- Part VI References, Index -- 23 Classification Lists.
520 _aThis 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.
650 0 _aMathematics
_xData processing.
650 0 _aMathematics.
650 0 _aMusic.
650 1 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aApplications of Mathematics.
650 2 4 _aMusic.
700 1 _aMazzola, Guerino.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031301827
776 0 8 _iPrinted edition:
_z9783031301841
776 0 8 _iPrinted edition:
_z9783031301858
830 0 _aComputational Music Science,
_x1868-0313
856 4 0 _uhttps://doi.org/10.1007/978-3-031-30183-4
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c178718
_d178718