This chapter describes an O(n) algorithm for segmenting music automatically by pitch context using the Spiral Array, a mathematical model for tonality, and applies it to the segmentation of post-tonal music, namely, Olivier Messiaen’s Regards IV and XVI from his Vingt Regards sur l’Enfant Jésus. Using the idea of the center of effect (CE), a summary point in the interior of the Spiral Array, segmentation boundaries map to peaks in the distances between the CEs of adjacent segments of music. The best-case computed boundaries are, on average, within 0.94 % (for Regard IV) and 0.11 % (for Regard XVI) of their targets.
CITATION STYLE
Argus segmentation method. (2014). In International Series in Operations Research and Management Science (Vol. 204, pp. 109–130). Springer New York LLC. https://doi.org/10.1007/978-1-4614-9475-1_7
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