LEADER 04068nam 22006135 450 001 996546837003316 005 20230530164136.0 010 $a3-031-30183-8 024 7 $a10.1007/978-3-031-30183-4 035 $a(MiAaPQ)EBC30555875 035 $a(Au-PeEL)EBL30555875 035 $a(OCoLC)1381095960 035 $a(DE-He213)978-3-031-30183-4 035 $a(BIP)089231019 035 $a(PPN)270614028 035 $a(EXLCZ)9926806729300041 100 $a20230530d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aClassification of Musical Objects for Analysis and Composition$b[electronic resource] /$fby Linshujie Zheng, Guerino Mazzola 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (156 pages) 225 1 $aComputational Music Science,$x1868-0313 311 08$aPrint version: Zheng, Linshujie Classification of Musical Objects for Analysis and Composition Cham : Springer International Publishing AG,c2023 9783031301827 327 $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. 330 $aThis book presents and discusses the fundamental topic of classification of musical objects, such as chords, motifs, and gestures. Their classification deals with the exhibition of isomorphism classes. Our structure types include local and global constructions, the latter being similar to global structures in geometry, such as differentiable manifolds. The discussion extends to the role, which classification plays for the creative construction of musical compositions. Our examples include references to classical compositions, such as Beethoven?s sonatas, and some of the author?s own compositions of classical and jazz styles. We also discuss software that enables the application of classification to musical creativity. The volume is addressed to an audience that would apply classification to programming and creative musical construction. 410 0$aComputational Music Science,$x1868-0313 606 $aMathematics?Data processing 606 $aMathematics 606 $aMusic 606 $aComputational Mathematics and Numerical Analysis 606 $aApplications of Mathematics 606 $aMusic 610 $aMusic 615 0$aMathematics?Data processing. 615 0$aMathematics. 615 0$aMusic. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aApplications of Mathematics. 615 24$aMusic. 676 $a781.2012 700 $aZheng$b Linshujie$01367148 701 $aMazzola$b Guerino$0283272 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996546837003316 996 $aClassification of Musical Objects for Analysis and Composition$93389874 997 $aUNISA