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Volumn 328, Issue , 2010, Pages 193-211

A dynamical systems approach to musical tonality

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EID: 78650164450     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-16262-6_9     Document Type: Article
Times cited : (28)

References (45)
  • 2
    • 0000963496 scopus 로고
    • Anchoring effects in music: The resolution of dissonance
    • Bharucha, J.J.: Anchoring effects in music: The resolution of dissonance. Cognitive Psychology 16, 485-518 (1984)
    • (1984) Cognitive Psychology , vol.16 , pp. 485-518
    • Bharucha, J.J.1
  • 4
    • 0000590078 scopus 로고    scopus 로고
    • Intervals, scales, and tuning
    • Deustch, D. (ed.) Academic Press, San Diego
    • Burns, E.M.: Intervals, scales, and tuning. In: Deustch, D. (ed.) The Psychology of Music, pp. 215-264. Academic Press, San Diego (1999)
    • (1999) The Psychology of Music , pp. 215-264
    • Burns, E.M.1
  • 7
    • 0001081272 scopus 로고    scopus 로고
    • Nonlinear dynamics of the perceived pitch of complex sounds
    • Cartwright, J.H.E., Gonzalez, D.L., Piro, O.: Nonlinear Dynamics of the Perceived Pitch of Complex Sounds. Physical Review Letters 82, 5389-5392 (1999)
    • (1999) Physical Review Letters , vol.82 , pp. 5389-5392
    • Cartwright, J.H.E.1    Gonzalez, D.L.2    Piro, O.3
  • 8
    • 0032418734 scopus 로고    scopus 로고
    • A model for amplification of hair-bundle motion by cyclical binding of Ca2+ to mechanoelectrical-transduction channels
    • Choe, Y., Magnasco, M.O., Hudspeth, A.J.: A model for amplification of hair-bundle motion by cyclical binding of Ca2+ to mechanoelectrical-transduction channels. Proceedings of the National Academy of Sciences 95, 15321-15336 (1998)
    • (1998) Proceedings of the National Academy of Sciences , vol.95 , pp. 15321-15336
    • Choe, Y.1    Magnasco, M.O.2    Hudspeth, A.J.3
  • 9
    • 0029298643 scopus 로고
    • Expectancies generated by melodic intervals: Perceptual judgements of melodic continuity
    • Cuddy, L.L., Lunney, C.A.: Expectancies generated by melodic intervals: Perceptual judgements of melodic continuity. Perception & Psychophysics 57, 451-462 (1995)
    • (1995) Perception & Psychophysics , vol.57 , pp. 451-462
    • Cuddy, L.L.1    Lunney, C.A.2
  • 10
    • 58149404765 scopus 로고
    • Scale and contour: Two components of a theory of memory for melodies
    • Dowling, W.J.: Scale and contour: Two components of a theory of memory for melodies. Psychological Review 85, 341-354 (1978)
    • (1978) Psychological Review , vol.85 , pp. 341-354
    • Dowling, W.J.1
  • 12
    • 0344464808 scopus 로고    scopus 로고
    • Nonlinear coupling near a degenerate Hopf (Bautin) Bifurcation
    • Drover, J.D., Ermentrout, B.: Nonlinear coupling near a degenerate Hopf (Bautin) Bifurcation. SIAM Journal On Applied Mathematics 63, 1627-1647 (2003)
    • (2003) SIAM Journal on Applied Mathematics , vol.63 , pp. 1627-1647
    • Drover, J.D.1    Ermentrout, B.2
  • 13
    • 78650093098 scopus 로고    scopus 로고
    • Retrieved October, 13 2010
    • Eerola, T., Toiviainen, P.: Finnish Folksong Database (2004), https://www.jyu.fi/hum/laitokset/musiikki/en/research/coe/materials/ collection-download (Retrieved October 13, 2010)
    • (2004) Finnish Folksong Database
    • Eerola, T.1    Toiviainen, P.2
  • 14
    • 0041706669 scopus 로고    scopus 로고
    • New roles for synaptic inhibition in sound localization
    • Grothe, B.: New roles for synaptic inhibition in sound localization. Nature Reviews Neuroscience 4, 540-550 (2003)
    • (2003) Nature Reviews Neuroscience , vol.4 , pp. 540-550
    • Grothe, B.1
  • 18
    • 0030208412 scopus 로고    scopus 로고
    • Synaptic organizations and dynamical properties of weakly connected neural oscillators I: Analysis of a canonical model
    • Hoppensteadt, F.C., Izhikevich, E.M.: Synaptic organizations and dynamical properties of weakly connected neural oscillators I: Analysis of a canonical model. Biological Cybernetics 75, 117-127 (1996a)
    • (1996) Biological Cybernetics , vol.75 , pp. 117-127
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 19
    • 0030207419 scopus 로고    scopus 로고
    • Synaptic organizations and dynamical properties of weakly connected neural oscillators II: Learning phase information
    • Hoppensteadt, F.C., Izhikevich, E.M.: Synaptic organizations and dynamical properties of weakly connected neural oscillators II: Learning phase information. Biological Cybernetics 75, 126-135 (1996b)
    • (1996) Biological Cybernetics , vol.75 , pp. 126-135
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 21
    • 0014528897 scopus 로고
    • Consonance theory part II: Consonance of complex tones and its calculation method
    • Kameoka, A., Kuriyagawa, M.: Consonance theory part II: Consonance of complex tones and its calculation method. Journal of the Acoustical Society of America 45, 1460-1471 (1969)
    • (1969) Journal of the Acoustical Society of America , vol.45 , pp. 1460-1471
    • Kameoka, A.1    Kuriyagawa, M.2
  • 22
    • 0018649517 scopus 로고
    • Evidence of mechanical nonlinearity and frequency selective wave amplification in the cochlea
    • Kemp, D.T.: Evidence of mechanical nonlinearity and frequency selective wave amplification in the cochlea. European Archives of Oto-Rhino-Laryngology 224, 370 (1979)
    • (1979) European Archives of Oto-Rhino-Laryngology , vol.224 , pp. 370
    • Kemp, D.T.1
  • 23
    • 0642377704 scopus 로고    scopus 로고
    • Essential role of couplings between hearing nonlinearities
    • Kern, A., Stoop, R.: Essential role of couplings between hearing nonlinearities. Physical Review Letters 91, 128101-128104 (2003)
    • (2003) Physical Review Letters , vol.91 , pp. 128101-128104
    • Kern, A.1    Stoop, R.2
  • 24
    • 0041890525 scopus 로고
    • Entropy as a measure of style: The influence off sample length
    • Knopoff, L., Hutchinson, W.: Entropy as a measure of style: The influence off sample length. Journal of Music Theory 27, 75-97 (1983)
    • (1983) Journal of Music Theory , vol.27 , pp. 75-97
    • Knopoff, L.1    Hutchinson, W.2
  • 26
    • 0020161395 scopus 로고
    • Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys
    • Krumhansl, C.L., Kessler, E.J.: Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys. Psychological Review 89(4), 334-368 (1982)
    • (1982) Psychological Review , vol.89 , Issue.4 , pp. 334-368
    • Krumhansl, C.L.1    Kessler, E.J.2
  • 27
    • 0026703998 scopus 로고
    • Periodicity coding in the auditory system
    • Langner, G.: Periodicity coding in the auditory system. Hearing Research 60, 115-142 (1992)
    • (1992) Hearing Research , vol.60 , pp. 115-142
    • Langner, G.1
  • 28
    • 53949087442 scopus 로고    scopus 로고
    • Temporal processing of periodic signals in the auditory system: Neuronal representation of pitch, timbre, and harmonicity
    • Langner, G.: Temporal processing of periodic signals in the auditory system: Neuronal representation of pitch, timbre, and harmonicity. Z Audiol. 46, 21-80 (2007)
    • (2007) Z Audiol. , vol.46 , pp. 21-80
    • Langner, G.1
  • 29
    • 77950790730 scopus 로고    scopus 로고
    • A canonical model for gradient frequency neural networks
    • Large, E.W., Almonte, F., Velasco, M.: A canonical model for gradient frequency neural networks. Physica D: Nonlinear Phenomena 239(12), 905-911 (2010)
    • (2010) Physica D: Nonlinear Phenomena , vol.239 , Issue.12 , pp. 905-911
    • Large, E.W.1    Almonte, F.2    Velasco, M.3
  • 30
    • 0036750585 scopus 로고    scopus 로고
    • Auditory temporal computation: Interval selectivity based on post-inhibitory rebound
    • Large, E.W., Crawford, J.D.: Auditory temporal computation: Interval selectivity based on post-inhibitory rebound. Journal of Computational Neuroscience 13, 125-142 (2002)
    • (2002) Journal of Computational Neuroscience , vol.13 , pp. 125-142
    • Large, E.W.1    Crawford, J.D.2
  • 31
    • 33244456384 scopus 로고    scopus 로고
    • Musical forces and melodic expectations: Comparing computer models and experimental results
    • Larson, S.: Musical Forces and Melodic Expectations: Comparing Computer Models and Experimental Results. Music Perception 21, 457-498 (2004a)
    • (2004) Music Perception , vol.21 , pp. 457-498
    • Larson, S.1
  • 32
    • 84919774094 scopus 로고    scopus 로고
    • Oxford University Press, New York
    • Lerdahl, F.: Tonal Pitch Space. Oxford University Press, New York (2001)
    • (2001) Tonal Pitch Space
    • Lerdahl, F.1
  • 33
    • 0027450806 scopus 로고
    • Intonation of solo violin performance with reference to equally temepred, Pythagorean and just intonations
    • Loosen, F.: Intonation of solo violin performance with reference to equally temepred, Pythagorean and just intonations. Journal of the Acoustical Society of America 93, 25-539 (1993)
    • (1993) Journal of the Acoustical Society of America , vol.93 , pp. 25-539
    • Loosen, F.1
  • 36
    • 0031003679 scopus 로고    scopus 로고
    • Optimality: From neural networks to universal grammar
    • Prince, A., Smolensky, P.: Optimality: From Neural Networks to Universal Grammar. Science 275, 1604-1610 (1997)
    • (1997) Science , vol.275 , pp. 1604-1610
    • Prince, A.1    Smolensky, P.2
  • 37
    • 0026904606 scopus 로고
    • Responses to sound of the basilar membrane of the mamalian cochlea
    • Ruggero, M.A.: Responses to sound of the basilar membrane of the mamalian cochlea. Current Opinion in Neurobiology 2, 449-456 (1992)
    • (1992) Current Opinion in Neurobiology , vol.2 , pp. 449-456
    • Ruggero, M.A.1
  • 38
    • 0028471260 scopus 로고
    • What child is this? What interval was that? Familiar tunes and music perception in novice listeners
    • Appleton
    • Smith, J.D., Nelson, D.G., Grohskopf, L.A., Appleton, T.: What child is this? What interval was that? Familiar tunes and music perception in novice listeners. Cognition 52, 23-54 (1994)
    • (1994) Cognition , vol.52 , pp. 23-54
    • Smith, J.D.1    Nelson, D.G.2    Grohskopf, L.A.3    Appleton, T.4
  • 39
    • 0034293604 scopus 로고    scopus 로고
    • Implicit learning of tonality: A self-organizing approach
    • Tillmann, B., Bharucha, J.J., Bigand, E.: Implicit learning of tonality: A self-organizing approach. Psychological Review 107, 885-913 (2000)
    • (2000) Psychological Review , vol.107 , pp. 885-913
    • Tillmann, B.1    Bharucha, J.J.2    Bigand, E.3
  • 40
    • 0006050258 scopus 로고
    • Children's perception of familiar melodies: The role of interval contour and key
    • Trehub, S.E., Morrongiello, B.A., Thorpe, L.A.: Children's perception of familiar melodies: The role of interval contour and key. Psychomusicolgy 5, 39-48 (1985)
    • (1985) Psychomusicolgy , vol.5 , pp. 39-48
    • Trehub, S.E.1    Morrongiello, B.A.2    Thorpe, L.A.3
  • 43
    • 0015868589 scopus 로고
    • A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
    • Wilson, H.R., Cowan, J.D.: A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13, 55-80 (1973)
    • (1973) Kybernetik , vol.13 , pp. 55-80
    • Wilson, H.R.1    Cowan, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.