The basic sonorities of traditional Western tonality divide the octave nearly evenly and are found near the center of the orbifolds IMGf1.gif" ALT="Formula" BORDER="0"> and IMGf2.gif" ALT="Formula" BORDER="0">. Many common musical patterns exploit this fact, which permits efficient voice leading between structurally similar chords. In actual music, these patterns sometimes appear incompletely or are accompanied by additional notes. Using orbifolds in musical analysis therefore requires interpretive skill.
%0 Journal Article
%1 DmitriTymoczko01192007
%A Tymoczko, Dmitri
%D 2007
%J Science
%K Mathematik Musik Musiktheorie
%N 5810
%P 330c-
%R 10.1126/science.1134163
%T Response to Comment on "The Geometry of Musical Chords"
%U http://www.sciencemag.org/cgi/content/abstract/315/5810/330c
%V 315
%X The basic sonorities of traditional Western tonality divide the octave nearly evenly and are found near the center of the orbifolds IMGf1.gif" ALT="Formula" BORDER="0"> and IMGf2.gif" ALT="Formula" BORDER="0">. Many common musical patterns exploit this fact, which permits efficient voice leading between structurally similar chords. In actual music, these patterns sometimes appear incompletely or are accompanied by additional notes. Using orbifolds in musical analysis therefore requires interpretive skill.
@article{DmitriTymoczko01192007,
abstract = {The basic sonorities of traditional Western tonality divide the octave nearly evenly and are found near the center of the orbifolds [IMG]f1.gif" ALT="Formula" BORDER="0"> and [IMG]f2.gif" ALT="Formula" BORDER="0">. Many common musical patterns exploit this fact, which permits efficient voice leading between structurally similar chords. In actual music, these patterns sometimes appear incompletely or are accompanied by additional notes. Using orbifolds in musical analysis therefore requires interpretive skill.},
added-at = {2009-10-23T11:46:41.000+0200},
author = {Tymoczko, Dmitri},
bdsk-url-1 = {http://www.sciencemag.org/cgi/content/abstract/315/5810/330c},
bdsk-url-2 = {http://dx.doi.org/10.1126/science.1134163},
biburl = {https://www.bibsonomy.org/bibtex/22b74cadb0b2fb7aa62b5c875ec8749ea/keinstein},
date-added = {2009-04-03 14:25:59 +0200},
date-modified = {2009-04-28 14:49:32 +0200},
doi = {10.1126/science.1134163},
eprint = {http://www.sciencemag.org/cgi/reprint/315/5810/330c.pdf},
groups = {public},
interhash = {300d723f039bd5bfff8637e26302e941},
intrahash = {2b74cadb0b2fb7aa62b5c875ec8749ea},
journal = {Science},
keywords = {Mathematik Musik Musiktheorie},
number = 5810,
pages = {330c-},
read = {Yes},
timestamp = {2013-01-20T19:14:39.000+0100},
title = {{Response to Comment on "The Geometry of Musical Chords"}},
url = {http://www.sciencemag.org/cgi/content/abstract/315/5810/330c},
username = {keinstein},
volume = 315,
year = 2007
}