Abstract
This is the third paper of a series which begins by treating the perception of pitch relations in musical contexts and the perception of timbre and speech. The preceding papers dealt with those properties of musical scales which allow them to function as reference frames which provide both for the measurement of intervals and for the identification of their elements as scale degrees. The effect of these properties upon the perceptibility of various musical relations and properties has been discussed. Here we extend the treatment to systems of different scales (as exist in many musical cultures) where a listener's recognition of any one scale in the system interacts with his ability to recognize the others. Reading of the two previous papers is required.
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This research was supported in part by grants and contracts AF-AFOSR 881–65, AF 49(638)-1738 and AF-AFOSR 68–1596.
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Rothenberg, D. A model for pattern perception with musical applications part III: The graph embedding of pitch structures. Math. Systems Theory 12, 73–101 (1978). https://doi.org/10.1007/BF01776567
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DOI: https://doi.org/10.1007/BF01776567