%0 Journal Article %1 DaveHeadlam01192007 %A Headlam, Dave %A Brown, Matthew %D 2007 %J Science %K Musik Mathematik Musiktheorie %N 5810 %P 330b- %R 10.1126/science.1134013 %T Comment on "The Geometry of Musical Chords" %U http://www.sciencemag.org/cgi/content/abstract/315/5810/330b %V 315 %X Tymoczko (Reports, 7 July 2006, p. 72) proposed that the familiar sonorities of Western tonal music cluster around the center of a multidimensional orbifold. However, this is not true for all tonal progressions. When prototypical three-voice cadential progressions by Bach converge on the tonic, the chords migrate from the center to the edge of the orbifold.

@article{DaveHeadlam01192007, abstract = {Tymoczko (Reports, 7 July 2006, p. 72) proposed that the familiar sonorities of Western tonal music cluster around the center of a multidimensional orbifold. However, this is not true for all tonal progressions. When prototypical three-voice cadential progressions by Bach converge on the tonic, the chords migrate from the center to the edge of the orbifold.}, added-at = {2013-02-02T14:43:02.000+0100}, author = {Headlam, Dave and Brown, Matthew}, bdsk-file-1 = {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}, bdsk-url-1 = {http://www.sciencemag.org/cgi/content/abstract/315/5810/330b}, bdsk-url-2 = {http://dx.doi.org/10.1126/science.1134013}, biburl = {https://www.bibsonomy.org/bibtex/25af091e48a9e19b63422574b54b1806c/ks-plugin-devel}, date-added = {2009-04-03 14:22:14 +0200}, date-modified = {2009-04-03 14:23:44 +0200}, doi = {10.1126/science.1134013}, eprint = {http://www.sciencemag.org/cgi/reprint/315/5810/330b.pdf}, file = {:Headlam/Comment on "The Geometry of Musical Chords".pdf:PDF}, groups = {public}, interhash = {c675c8efdda89983310989cd16bf840f}, intrahash = {5af091e48a9e19b63422574b54b1806c}, journal = {Science}, keywords = {Musik Mathematik Musiktheorie}, number = 5810, pages = {330b-}, timestamp = {2013-02-02T14:43:02.000+0100}, title = {{Comment on "The Geometry of Musical Chords"}}, url = {http://www.sciencemag.org/cgi/content/abstract/315/5810/330b}, username = {keinstein}, volume = 315, year = 2007 }