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.
Preview
Unable to display preview. Download preview PDF.
References
Bharucha, J. (1987). Music cognition and perceptual facilitation: A connectionist framework. Music Perception, 5, 1–30.
Bharucha, J. (1989). Neural nets and perceptual learning of tonal expectancies. In Proceedings of the Conference on Music Perception and Cognition. Kyoto.
Bruhn, H. (1988). Harmonielehre als Grammatik der Musik. Munich: Psychologie Verlags Union.
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.
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.
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.
Hecht-Nielsen, R. (1990). Neurocomputing. Reading, MA: Addison-Wesley.
Hertz, J., Krogh, A., & Palmer, R. (1991). Introduction to the theory of neural computation. Reading, MA: Addison-Wesley.
Krumhansl, C. (1990). Cognitive foundations of musical pitch. New York, NY: Oxford University Press.
Leman, M. (1989). Symbolic and subsymbolic information processing in models of musical communication and cognition. Interface-Journal of New Music Research, 18, 141–160.
Leman, M. (1990). Emergent properties of tonality functions by selforganization. Interface-Journal of New Music Research, 19, 85–106.
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.
Leman, M. (1995). Music and schema theory: Cognitive foundations of systematic musicology. Berlin, Heidelberg: Springer-Verlag.
Murtagh, F. (1994). Neural networks and related massively parallel methods for statistics: A short overview. International Statistical Review, 62, 275–288.
Parncutt, R. (1988). Revision of Terhardt's psychoacoustical model of the roots of a musical chord. Music Perception, 6, 65–94.
Ripley, B. (1996). Pattern recognition and neural networks. Cambridge: Cambridge University Press.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0034113
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63526-0
Online ISBN: 978-3-540-69591-2
eBook Packages: Springer Book Archive