Regards on two regards by Messiaen: Post-tonal music segmentation using pitch context distances in the spiral array. Chew, E. Journal of New Music Research, 34(4):341–354, dec, 2005.
Paper doi abstract bibtex 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 Jésus . 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. © 2005 Taylor & Francis.
@Article{ chew2005-regards,
author = {Chew, Elaine},
year = {2005},
title = {Regards on two regards by Messiaen: Post-tonal music
segmentation using pitch context distances in the spiral
array},
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{\'{e}}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. {\textcopyright} 2005 Taylor \& Francis.},
doi = {10.1080/09298210600578147},
issn = {0929-8215},
journal = {Journal of New Music Research},
keywords = {computational musicology},
mendeley-tags= {computational musicology},
month = {dec},
number = {4},
pages = {341--354},
url = {http://www.tandfonline.com/doi/abs/10.1080/09298210600578147},
volume = {34}
}
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