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Triadic Insights in Astronomy, Art and Music

  • Norman D. Cook
Chapter
Part of the Analecta Husserliana book series (ANHU, volume 107)

Abstract

Three huge discoveries during the Renaissance transformed all of science and art: they were the invention of musical harmony, the discovery of linear perspective, and the realization of the heliocentric structure of the solar system. These seemingly unrelated developments have a common basis in cognitive psychology. All three involve an understanding of the relationships among three sensory “cues.” The astronomical insight was essentially an understanding of the meaning of shadows: a light source (the sun), an object (the moon), and its shadow (the phases of the moon as seen from the earth). A similar shadow-related insight led to the geometrically-correct depiction of light and shadows in Renaissance paintings and eventually to the laws of linear perspective (not deducible from the relative size of two objects, but deducible from the relative sizes of three aligned objects). The three cues in music are the three tones that produce harmony – the “tonality” that led to the major and minor modes of Renaissance music and still in use today. These (and other) forms of “triadic” sensory processing are not undertaken by infra-human animal species, but they lie at the heart of the unusual cognitive capabilities of the human mind.

Keywords

Cast Shadow Acoustical Basis Linear Perspective Horizon Line Rigid Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Baxandall, M. 1995. Shadows and the enlightenment. New Haven, CT: Yale University Press.Google Scholar
  2. Casati, R. 2003. Shadows. New York: Random House.Google Scholar
  3. Cook, N.D. 2009. Harmony perception: Harmoniousness is more than the sum of interval consonance. Music Perception 27(1): 25–42.CrossRefGoogle Scholar
  4. Cook, N.D. 2010 Harmony, perspective and triadic cognition. New York: Cambridge University Press.Google Scholar
  5. Cook, N.D., and T. Hayashi. 2008 The psychoacoustics of musical harmony. American Scientist 96: 311–319.CrossRefGoogle Scholar
  6. Cook, N.D., A. Yutsudo, N. Fujimoto, and M. Murata. 2008a. On the visual cues contributing to pictorial depth perception. Empirical Studies of the Arts 26(1): 67–90.CrossRefGoogle Scholar
  7. Cook, N.D., A. Yutsudo, N. Fujimoto, and M. Murata. 2008b. Factors contributing to depth perception: Behavioral studies on the reverse perspective illusion. Spatial Vision 21: 397–405.CrossRefGoogle Scholar
  8. Kemp, M. 1997. The science of art, New Haven, CT: Yale University Press.Google Scholar
  9. Meyer, L.B. 1956 Emotion and meaning in music. Chicago: University of Chicago Press.Google Scholar
  10. Mithen, S. 1996. The prehistory of the mind. London: Thames & Hudson.Google Scholar
  11. Purves, D., and R.B. Lotto. 2003. Why we see what we do. Sunderland: Sinauer.Google Scholar
  12. Tomasello, M. 1999. The cultural origins of human cognition. Cambridge: Harvard University Press.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of InformaticsKansai UniversityOsakaJapan

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