000 03640nam a22005175i 4500
001 978-1-4614-9475-1
003 DE-He213
005 20140220082505.0
007 cr nn 008mamaa
008 131213s2014 xxu| s |||| 0|eng d
020 _a9781461494751
_9978-1-4614-9475-1
024 7 _a10.1007/978-1-4614-9475-1
_2doi
050 4 _aHD30.23
072 7 _aKJT
_2bicssc
072 7 _aKJMD
_2bicssc
072 7 _aBUS049000
_2bisacsh
082 0 4 _a658.40301
_223
100 1 _aChew, Elaine.
_eauthor.
245 1 0 _aMathematical and Computational Modeling of Tonality
_h[electronic resource] :
_bTheory and Applications /
_cby Elaine Chew.
264 1 _aBoston, MA :
_bSpringer US :
_bImprint: Springer,
_c2014.
300 _aXIV, 305 p. 154 illus., 46 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 _aInternational Series in Operations Research & Management Science,
_x0884-8289 ;
_v204
505 0 _aTonality -- An Abbreviated Survey -- The Spiral Array -- The CEG Algorithm (Part I) -- The CEG Algorithm (Part II): Validation -- Determining Key Boundaries -- Argus Segmentation Method -- Real-Time Pitch Spelling -- MuSA.RT -- Visible Humor -- Sensitivity Analysis -- Model Calibration -- CEG Key Finding: Bach's WTC book I.
520 _aFrom the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of “spiral” here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved.
650 0 _aEconomics.
650 0 _aComputer science
_xMathematics.
650 0 _aMusic.
650 0 _aOperations research.
650 0 _aConsciousness.
650 1 4 _aEconomics/Management Science.
650 2 4 _aOperation Research/Decision Theory.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aMusic.
650 2 4 _aCognitive Psychology.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461494744
830 0 _aInternational Series in Operations Research & Management Science,
_x0884-8289 ;
_v204
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-9475-1
912 _aZDB-2-SBE
999 _c92383
_d92383