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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