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Self-organizing neural nets and the perceptual origin of the circle of fifths

  • II. From Pitch to Harmony
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Music, Gestalt, and Computing (JIC 1996)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1317))

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Abstract

One of the more surprising results of the use of artificial neural networks in the analysis of acoustic perceptions is the regularity of dispositions, on a Kohonen self-organizing map, of chord images: in fact these images clearly show the bent to spontaneously dispose themselves along closed, circular patterns reminiscent of the circle of fifths. In this paper we firstly reproduce these results and then test them against the hypothesis that the regularity of patterns could be the effect of the preprocessing and of the circular transpositions of the original signal images, rather than of their informative content referred to the tonal relations among the chords.

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References

  • Bharucha, J. (1987). Music cognition and perceptual facilitation: A connectionist framework. Music Perception, 5, 1–30.

    Google Scholar 

  • Bharucha, J. (1989). Neural nets and perceptual learning of tonal expectancies. In Proceedings of the Conference on Music Perception and Cognition. Kyoto.

    Google Scholar 

  • Bruhn, H. (1988). Harmonielehre als Grammatik der Musik. Munich: Psychologie Verlags Union.

    Google Scholar 

  • Cufaro Petroni, N., Degrassi, F., & Pasquariello, G. (1994). Detection of pitch in random acoustic signals by neural networks. Journal of New Music Research, 23, 369–399.

    Google Scholar 

  • Cufaro Petroni, N., Guarino, M., & Pasquariello, G. (1995). Neural networks and pitch detection in random acoustic signals. In Proceedings of the Conference on Engeneering Applications of Neural Networks, Otaniemi, Helsinki, 1995. Helsinki.

    Google Scholar 

  • D'Autilia, R., & Guerra, F. (1991). Qualitative aspects of signal processing through dynamical neural networks. In G. De Poli, A. Piccialli, & C. Roads (Eds.), Representations of musical signals. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Hecht-Nielsen, R. (1990). Neurocomputing. Reading, MA: Addison-Wesley.

    Google Scholar 

  • Hertz, J., Krogh, A., & Palmer, R. (1991). Introduction to the theory of neural computation. Reading, MA: Addison-Wesley.

    Google Scholar 

  • Krumhansl, C. (1990). Cognitive foundations of musical pitch. New York, NY: Oxford University Press.

    Google Scholar 

  • Leman, M. (1989). Symbolic and subsymbolic information processing in models of musical communication and cognition. Interface-Journal of New Music Research, 18, 141–160.

    Google Scholar 

  • Leman, M. (1990). Emergent properties of tonality functions by selforganization. Interface-Journal of New Music Research, 19, 85–106.

    Google Scholar 

  • Leman, M. (1991). The ontogenesis of tonal semantics: Results of a computer study. In P. Todd & G. Loy (Eds.), Music and connectionism. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Leman, M. (1995). Music and schema theory: Cognitive foundations of systematic musicology. Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

  • Murtagh, F. (1994). Neural networks and related massively parallel methods for statistics: A short overview. International Statistical Review, 62, 275–288.

    Google Scholar 

  • Parncutt, R. (1988). Revision of Terhardt's psychoacoustical model of the roots of a musical chord. Music Perception, 6, 65–94.

    Google Scholar 

  • Ripley, B. (1996). Pattern recognition and neural networks. Cambridge: Cambridge University Press.

    Google Scholar 

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Marc Leman

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© 1997 Springer-Verlag Berlin Heidelberg

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Petron, N.C., Tricarico, M. (1997). Self-organizing neural nets and the perceptual origin of the circle of fifths. In: Leman, M. (eds) Music, Gestalt, and Computing. JIC 1996. Lecture Notes in Computer Science, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034113

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  • DOI: https://doi.org/10.1007/BFb0034113

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63526-0

  • Online ISBN: 978-3-540-69591-2

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