LEADER 00419nas 2200145z- 450 001 9910692811203321 035 $a(CKB)5470000002357377 035 $a(EXLCZ)995470000002357377 100 $a20230503cuuuuuuuu -u- - 101 0 $aeng 200 00$aCatalogue of data and report of data exchange 906 $aJOURNAL 912 $a9910692811203321 996 $aCatalogue of data and report of data exchange$91211359 997 $aUNINA LEADER 04589nam 22007455 450 001 9910298162303321 005 20250609111517.0 010 $a1-4614-9475-3 024 7 $a10.1007/978-1-4614-9475-1 035 $a(CKB)3710000000078723 035 $a(EBL)1592732 035 $a(SSID)ssj0001086703 035 $a(PQKBManifestationID)11602206 035 $a(PQKBTitleCode)TC0001086703 035 $a(PQKBWorkID)11064410 035 $a(PQKB)11076985 035 $a(MiAaPQ)EBC1592732 035 $a(DE-He213)978-1-4614-9475-1 035 $a(PPN)176101411 035 $a(MiAaPQ)EBC4071466 035 $a(EXLCZ)993710000000078723 100 $a20131213d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical and Computational Modeling of Tonality $eTheory and Applications /$fby Elaine Chew 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2014. 215 $a1 online resource (305 p.) 225 1 $aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v204 300 $aDescription based upon print version of record. 311 08$a1-4614-9474-5 320 $aIncludes bibliographical references at the end of each chapters and indexes. 327 $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. 330 $aFrom the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of ?spiral? here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved. 410 0$aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v204 606 $aOperations research 606 $aDecision making 606 $aComputer science$xMathematics 606 $aMusic 606 $aCognitive psychology 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aMusic$3https://scigraph.springernature.com/ontologies/product-market-codes/417000 606 $aCognitive Psychology$3https://scigraph.springernature.com/ontologies/product-market-codes/Y20060 615 0$aOperations research. 615 0$aDecision making. 615 0$aComputer science$xMathematics. 615 0$aMusic. 615 0$aCognitive psychology. 615 14$aOperations Research/Decision Theory. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aMusic. 615 24$aCognitive Psychology. 676 $a781.258 700 $aChew$b Elaine$4aut$4http://id.loc.gov/vocabulary/relators/aut$01061620 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910298162303321 996 $aMathematical and Computational Modeling of Tonality$92519379 997 $aUNINA