Regards on two regards by Messiaen: Post-tonal music segmentation using pitch context distances in the spiral array
Author:
Elaine Chew a
| Affiliation: | a University of Southern California Viterbi School of Engineering, Los Angeles, California, USA |
DOI:
10.1080/09298210600578147
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4 issues per year
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Abstract
This paper 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 J
sus. Using the idea of the centre of effect (c.e.), a summary point in the interior of the Spiral Array, segmentation boundaries map to peaks in the distances between the c.e.'s 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.
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sus. Using the idea of the centre of effect (c.e.), a summary point in the interior of the Spiral Array, segmentation boundaries map to peaks in the distances between the c.e.'s 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.
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