A Note on the Pitch Contour Similarity Index
نویسنده
چکیده
A popular model class for studying musical pitch contour is the so-called combinatorial model of contour (Friedmann, 1985, 1987; Marvin & Laprade, 1987; Polansky & Bassein, 1992; Morris, 1993; Quinn, 1997,1999). This model incorporates relations between adjacent as well as non-adjacent notes. Having a formal mathematical representation of contour structure, this model allows for quantification of similarity between pairs of pitch contours. One such measure, which has received considerable attention recently (e.g., Quinn, 1997,1999; Schmuckler, 1999; Buteau and Mazzola, 2000), is the contour similarity index (CSIM). It is generally accepted that this measure of similarity was independently proposed by Marvin and Laprade (1987) and Polansky (1996). In the combinatorial model of contour, a pattern of n pitches is represented by a an n× n binary matrix C the ijth entry of which is given by
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