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Volumn 21, Issue 6, 2017, Pages 1401-1419

Modelling tonal attraction: tonal hierarchies, interval cycles, and quantum probabilities

Author keywords

Affective meaning of music; Computational music theory; Generative music theory; Interval cycles; Musical expectation; Quantum cognition; Tonal attraction

Indexed keywords

GROUP THEORY;

EID: 84938520513     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-015-1801-7     Document Type: Article
Times cited : (10)

References (61)
  • 1
    • 70350284572 scopus 로고    scopus 로고
    • Quantum structure in cognition
    • Aerts D (2009) Quantum structure in cognition. J Math Psychol 53:314–348
    • (2009) J Math Psychol , vol.53 , pp. 314-348
    • Aerts, D.1
  • 2
    • 77952550569 scopus 로고    scopus 로고
    • Do we think and communicate in quantum ways? On the presence of quantum structures in language
    • Gontier N, Bendegem JPV, Aerts D, (eds), John Benjamins Publishing Company, Amsterdam
    • Aerts D, Czachor M, D’Hooghe B (2005) Do we think and communicate in quantum ways? On the presence of quantum structures in language. In: Gontier N, Bendegem JPV, Aerts D (eds) Evolutionary epistemology, language and culture. Studies in language, companion series. John Benjamins Publishing Company, Amsterdam
    • (2005) Evolutionary epistemology, language and culture. Studies in language, companion series
    • Aerts, D.1    Czachor, M.2    D’Hooghe, B.3
  • 6
    • 0001872697 scopus 로고
    • The group-theoretic description of 12-fold and microtonal pitch systems
    • Balzano GJ (1980) The group-theoretic description of 12-fold and microtonal pitch systems. Comput Music J 4:66–84
    • (1980) Comput Music J , vol.4 , pp. 66-84
    • Balzano, G.J.1
  • 8
    • 29144493057 scopus 로고    scopus 로고
    • Incompatible implementations of physical symbol systems
    • Beim Graben P (2004) Incompatible implementations of physical symbol systems. Mind Matter 2:29–51
    • (2004) Mind Matter , vol.2 , pp. 29-51
    • Beim Graben, P.1
  • 9
    • 84895903812 scopus 로고    scopus 로고
    • Order effects in dynamic semantics
    • Beim Graben P (2013) Order effects in dynamic semantics. Top Cognit Sci 6:67–73
    • (2013) Top Cognit Sci , vol.6 , pp. 67-73
    • Beim Graben, P.1
  • 10
    • 85014811492 scopus 로고    scopus 로고
    • The role of arbitrariness from a minimalist point of view
    • Kosta P, Franks SL, Radeva-Bork T, Schürcks L, (eds), John Benjamins Publishing Company, Amsterdam
    • Bierwisch M (2014) The role of arbitrariness from a minimalist point of view. In: Kosta P, Franks SL, Radeva-Bork T, Schürcks L (eds) Minimalism and beyond: radicalizing the interfaces. John Benjamins Publishing Company, Amsterdam, pp 392–415
    • (2014) Minimalism and beyond: radicalizing the interfaces , pp. 392-415
    • Bierwisch, M.1
  • 12
    • 84885474954 scopus 로고    scopus 로고
    • A quantum probability perspective on borderline vagueness
    • Blutner R, Pothos EM, Bruza P (2013) A quantum probability perspective on borderline vagueness. Top Cognit Sci 5:711–736
    • (2013) Top Cognit Sci , vol.5 , pp. 711-736
    • Blutner, R.1    Pothos, E.M.2    Bruza, P.3
  • 14
    • 70350292658 scopus 로고    scopus 로고
    • Is there something quantum-like about the human mental lexicon?
    • Bruza P, Kitto K, Nelson D, McEvoy CL (2009b) Is there something quantum-like about the human mental lexicon? J Math Psychol 53:362–377
    • (2009) J Math Psychol , vol.53 , pp. 362-377
    • Bruza, P.1    Kitto, K.2    Nelson, D.3    McEvoy, C.L.4
  • 17
    • 57049159237 scopus 로고    scopus 로고
    • A preliminary experimental verification on the possibility of bell inequality violation in mental states
    • Conte E, Khrennikov AY, Todarello O, Robertis RD, Federici A, Zbilut JP (2008) A preliminary experimental verification on the possibility of bell inequality violation in mental states. NeuroQuantology 6:214–221
    • (2008) NeuroQuantology , vol.6 , pp. 214-221
    • Conte, E.1    Khrennikov, A.Y.2    Todarello, O.3    Robertis, R.D.4    Federici, A.5    Zbilut, J.P.6
  • 19
    • 0001073889 scopus 로고
    • The internal representation of pitch sequences in tonal music
    • Deutsch D, Feroe J (1981) The internal representation of pitch sequences in tonal music. Psychol Rev 88:503–522
    • (1981) Psychol Rev , vol.88 , pp. 503-522
    • Deutsch, D.1    Feroe, J.2
  • 20
    • 53949102935 scopus 로고    scopus 로고
    • Neuronal periodicity detection as a basis for the perception of consonance: a mathematical model of tonal fusion
    • Ebeling M (2008) Neuronal periodicity detection as a basis for the perception of consonance: a mathematical model of tonal fusion. J Acoust Soc Am 124:2320–2329
    • (2008) J Acoust Soc Am , vol.124 , pp. 2320-2329
    • Ebeling, M.1
  • 22
    • 0000188120 scopus 로고
    • Learning invariance from transformation sequences
    • Földiák P (1991) Learning invariance from transformation sequences. Neural Comput 3:194–200
    • (1991) Neural Comput , vol.3 , pp. 194-200
    • Földiák, P.1
  • 23
    • 0036818286 scopus 로고    scopus 로고
    • Contextalizing concepts using a mathematical generalization of the quantum formalism
    • Gabora L, Aerts D (2002) Contextalizing concepts using a mathematical generalization of the quantum formalism. J Exp Theor Artif Intell
    • (2002) J Exp Theor Artif Intell
    • Gabora, L.1    Aerts, D.2
  • 24
    • 0029180357 scopus 로고
    • Orchestrated reduction of quantum coherence in brain microtubules: a model for consciousness?
    • Hameroff SR, Penrose R (1995) Orchestrated reduction of quantum coherence in brain microtubules: a model for consciousness? Neural Netw World 5:793–804
    • (1995) Neural Netw World , vol.5 , pp. 793-804
    • Hameroff, S.R.1    Penrose, R.2
  • 25
    • 45149140937 scopus 로고
    • The symbolic grounding problem
    • Harnad S (1990) The symbolic grounding problem. Physica D 42:335–346
    • (1990) Physica D , vol.42 , pp. 335-346
    • Harnad, S.1
  • 27
    • 59649126929 scopus 로고    scopus 로고
    • The origin and well-formedness of tonal pitch structures. Ph.D
    • Honingh A (2006) The origin and well-formedness of tonal pitch structures. Ph.D., Universiteit van Amsterdam
    • (2006) Universiteit van Amsterdam
    • Honingh, A.1
  • 30
    • 85014819708 scopus 로고    scopus 로고
    • The identity thesis for language and music
    • Katz J, Pesetsky D (2011) The identity thesis for language and music
    • (2011)
    • Katz, J.1    Pesetsky, D.2
  • 31
    • 57849155125 scopus 로고    scopus 로고
    • Why quantum theory?
    • Proceedings of second quantum interaction symposium, Oxford
    • Kitto K (2008) Why quantum theory? In: Bruza P, Lawless W, van Rijsbergen C, Sofge D, Coecke B, Clark S (eds) Proceedings of second quantum interaction symposium, Oxford, pp 11–18
    • (2008) Bruza P , pp. 11-18
    • Kitto, K.1    Lawless, W.2    van Rijsbergen, C.3    Sofge, D.4    Coecke, B.5    Clark, S.6
  • 33
    • 0000064739 scopus 로고
    • The psychological representation of musical pitch in a tonal context
    • Krumhansl CL (1979) The psychological representation of musical pitch in a tonal context. Cognit Psychol 11:346–374
    • (1979) Cognit Psychol , vol.11 , pp. 346-374
    • Krumhansl, C.L.1
  • 34
    • 0020161395 scopus 로고
    • Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys
    • Krumhansl CL, Kessler EJ (1982) Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys. Psychol Rev Gen Psychol 89:334–368
    • (1982) Psychol Rev Gen Psychol , vol.89 , pp. 334-368
    • Krumhansl, C.L.1    Kessler, E.J.2
  • 35
    • 84968157903 scopus 로고
    • Tonal pitch space
    • Lerdahl F (1988) Tonal pitch space. Music Percept 5:315–350
    • (1988) Music Percept , vol.5 , pp. 315-350
    • Lerdahl, F.1
  • 36
    • 84919774094 scopus 로고    scopus 로고
    • Oxford University Press, NewYork
    • Lerdahl F (2001) Tonal pitch space. Oxford University Press, NewYork
    • (2001) Tonal pitch space
    • Lerdahl, F.1
  • 39
    • 38249026033 scopus 로고
    • A symmetry-oriented mathematical model of classical counterpoint and related neurophysiological investigations by depth EEG
    • Mazzola G, Wieser H-G, Bruner V, Muzzulini D (1989) A symmetry-oriented mathematical model of classical counterpoint and related neurophysiological investigations by depth EEG. Comput Math Appl 17:539–559
    • (1989) Comput Math Appl , vol.17 , pp. 539-559
    • Mazzola, G.1    Wieser, H.-G.2    Bruner, V.3    Muzzulini, D.4
  • 41
    • 85014864094 scopus 로고    scopus 로고
    • Classical music and the language analogy. Ph.D
    • Muns L (2014) Classical music and the language analogy. Ph.D., Humboldt-University
    • (2014) Humboldt-University
    • Muns, L.1
  • 42
    • 0001304710 scopus 로고
    • Physical symbol systems
    • Newell A (1980) Physical symbol systems. Cognit Sci 4:135–183
    • (1980) Cognit Sci , vol.4 , pp. 135-183
    • Newell, A.1
  • 44
    • 0039290066 scopus 로고
    • W. W. Norton, New York
    • Piston W (1979) Harmony. W. W. Norton, New York
    • (1979) Harmony
    • Piston, W.1
  • 47
    • 77958598990 scopus 로고    scopus 로고
    • On Woolhouse’s interval-cycle proximity hypothesis
    • Quinn I (2010) On Woolhouse’s interval-cycle proximity hypothesis. Music Theory Spectr 32:172–179
    • (2010) Music Theory Spectr , vol.32 , pp. 172-179
    • Quinn, I.1
  • 48
    • 1842605098 scopus 로고    scopus 로고
    • The perception of musical tones
    • Deutsch D, (ed), 2, Academic Press, London
    • Rasch R, Plomp R (1999) The perception of musical tones. In: Deutsch D (ed) The psychology of music, vol 2. Academic Press, London, pp 89–112
    • (1999) The psychology of music , pp. 89-112
    • Rasch, R.1    Plomp, R.2
  • 53
    • 0034974166 scopus 로고    scopus 로고
    • Neurobiological foundations for the theory of harmony in Western tonal music
    • Zatorre J, Peretz I, (eds), Wiley, Online Library, New York
    • Tramo MJP, Cariani A, Delgutte B, Braida LD (2001) Neurobiological foundations for the theory of harmony in Western tonal music. In: Zatorre J, Peretz I (eds) The biological foundations of music. Wiley, Online Library, New York, pp 92–116
    • (2001) The biological foundations of music , pp. 92-116
    • Tramo, M.J.P.1    Cariani, A.2    Delgutte, B.3    Braida, L.D.4
  • 54
    • 58149411184 scopus 로고
    • Features of similarity
    • Tversky A (1977) Features of similarity. Psychol Rev 84:327–352
    • (1977) Psychol Rev , vol.84 , pp. 327-352
    • Tversky, A.1
  • 55
    • 77958037253 scopus 로고    scopus 로고
    • Oxford University Press, Oxford, New York
    • Tymoczko D (2011) A geometry of music. Oxford University Press, Oxford, New York
    • (2011) A geometry of music
    • Tymoczko, D.1
  • 58
    • 77952165257 scopus 로고    scopus 로고
    • Modelling tonal attraction between adjacent musical elements
    • Woolhouse M (2009) Modelling tonal attraction between adjacent musical elements. J New Music Res 38:357–379
    • (2009) J New Music Res , vol.38 , pp. 357-379
    • Woolhouse, M.1
  • 59
    • 79955046169 scopus 로고    scopus 로고
    • Modes on the move: interval cycles and the emergence of major–minor tonality empirical musicology
    • Woolhouse M (2010) Modes on the move: interval cycles and the emergence of major–minor tonality empirical musicology. Review 5:62–83
    • (2010) Review , vol.5 , pp. 62-83
    • Woolhouse, M.1
  • 60
    • 77952187772 scopus 로고    scopus 로고
    • Using interval cycles to model Krumhansl’s tonal hierarchies music theory
    • Woolhouse M, Cross I (2010) Using interval cycles to model Krumhansl’s tonal hierarchies music theory. Spectrum 32:60–78
    • (2010) Spectrum , vol.32 , pp. 60-78
    • Woolhouse, M.1    Cross, I.2
  • 61
    • 79955045070 scopus 로고    scopus 로고
    • To The editor: A response to Ian Quinn
    • Woolhouse M, Cross I (2011) To The editor: A response to Ian Quinn. Music theory spectrum 33:99–105
    • (2011) Music theory spectrum , vol.33 , pp. 99-105
    • Woolhouse, M.1    Cross, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.