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010   $a3-319-11236-8
024 7 $a10.1007/978-3-319-11236-7
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035   $a(DE-He213)978-3-319-11236-7
035   $a(MiAaPQ)EBC6311456
035   $a(MiAaPQ)EBC5587483
035   $a(Au-PeEL)EBL5587483
035   $a(OCoLC)913959096
035   $a(PPN)18769043X
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100   $a20150708d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aComputational Counterpoint Worlds $eMathematical Theory, Software, and Experiments /$fby Octavio Alberto Agustín-Aquino, Julien Junod, Guerino Mazzola
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (X, 220 p. 57 illus., 16 illus. in color.)
225 1 $aComputational Music Science,$x1868-0305
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-11235-X 
327   $aCounterpoint -- First-Species Model -- Preliminary Background -- Quasipolarities and Interval Dichotomies -- Towers of Counterpoint -- Graphs -- Transformations -- Implementation -- Second-Species Model -- Hypergesture Homology -- Glossary -- Index.
330   $aThe mathematical theory of counterpoint was originally aimed at simulating the composition rules described in Johann Joseph Fux?s Gradus ad Parnassum. It soon became apparent that the algebraic apparatus used in this model could also serve to define entirely new systems of rules for composition, generated by new choices of consonances and dissonances, which in turn lead to new restrictions governing the succession of intervals. This is the first book bringing together recent developments and perspectives on mathematical counterpoint theory in detail. The authors include recent theoretical results on counterpoint worlds, the extension of counterpoint to microtonal pitch systems, the singular homology of counterpoint models, and the software implementation of contrapuntal models. The book is suitable for graduates and researchers. A good command of algebra is a prerequisite for understanding the construction of the model.
410  0$aComputational Music Science,$x1868-0305
606   $aApplication software
606   $aMusic
606   $aComputer Appl. in Arts and Humanities$3https://scigraph.springernature.com/ontologies/product-market-codes/I23036
606   $aMusic$3https://scigraph.springernature.com/ontologies/product-market-codes/417000
615  0$aApplication software.
615  0$aMusic.
615 14$aComputer Appl. in Arts and Humanities.
615 24$aMusic.
676   $a781.286
700   $aAgustín-Aquino$b Octavio Alberto$4aut$4http://id.loc.gov/vocabulary/relators/aut$01059168
702   $aJunod$b Julien$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMazzola$b Guerino$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299252703321
996   $aComputational Counterpoint Worlds$92504464
997   $aUNINA