A MATHEMATICAL MODEL FOR THE PERCEPTION OF TONES IN CONTEXT PART II.
NEW YORK RESEARCH GROUP INC N Y
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A mathematical model was applied to the perception of stimuli which carry information, e.g. phonemes of spoken language, Morse Code signals, musical tones and rhythms. This report is restricted to that version of the model which applies to perception of tones in a musical context. See also AD-647 270. The model described proposes a method by which a listener differentiates and classifies the great number of different stimuli provided by music, such as musical intervals, durations, or timbres, using only a small number of learned classifiers. Such classifiers are orderings of stimuli and are extracted from the contexts in which the stimuli appear. It is postulated that these orderings rather than any fixed magnitudes are learned and remembered. Bounds on the structure of these classifiers and those distortions of perception which characterize the use of each are deduced. The relationship is developed between the structure of each of these classifiers and its potential usefulness in transmitting information. A Gestalt description of perception results in which extremely complex and varied phenomena can be perceived without proportionately large human memory. The decoding of information carried by stimuli within such Gestalt contexts is implicit in the model. Author
- Humanities and History
- Numerical Mathematics