000 03008nam a22004455i 4500
999 _c200434188
_d52400
003 DE-He213
005 20231104114323.0
007 cr nn 008mamaa
008 150708s2015 gw | s |||| 0|eng d
020 _a9783319112367
_z978-3-319-11236-7
024 7 _a10.1007/978-3-319-11236-7
_2doi
040 _aTR-AnTOB
_beng
_cTR-AnTOB
_erda
050 4 _aNX260
072 7 _aH
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aUXA
_2thema004
_223
100 1 _aAgustín-Aquino, Octavio Alberto.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aComputational Counterpoint Worlds :
_bMathematical Theory, Software, and Experiments /
_cby Octavio Alberto Agustín-Aquino, Julien Junod, Guerino Mazzola.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aComputational Music Science,
_x1868-0305
505 0 _aCounterpoint -- First-Species Model -- Preliminary Background -- Quasipolarities and Interval Dichotomies -- Towers of Counterpoint -- Graphs -- Transformations -- Implementation -- Second-Species Model -- Hypergesture Homology -- Glossary -- Index.
520 _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.
650 0 _aInformation systems.
650 0 _aMusic.
650 1 4 _aComputer Appl. in Arts and Humanities.
_0http://scigraph.springernature.com/things/product-market-codes/I23036
650 2 4 _aMusic.
_0http://scigraph.springernature.com/things/product-market-codes/417000
700 1 _aJunod, Julien.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aMazzola, Guerino.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
856 4 0 _3Springer eBooks
_zOnline access link to the resource
_uhttps://doi.org/10.1007/978-3-319-11236-7
942 _2lcc
_cEBK
041 _aeng