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Science 7 July 2006:
Vol. 313. no. 5783, pp. 72 - 74
DOI: 10.1126/science.1126287


The Geometry of Musical Chords
Dmitri Tymoczko

Supporting Online Material

This supplement contains:
Materials and Methods
Figs. S1 to S12
Table S1
Movies S1 to S4
Soundfile S1
References

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This file is in Adobe Acrobat PDF format. If you have not installed and configured the Adobe Acrobat Reader on your system, please see Help with Printing for instructions.

Soundfile S1.
A sound file corresponding to Figure 1.

Movie S1.
Transposition and inversion in pitch class space.

Movie S2.
Two-note voice leadings illustrated on the Möbius strip.

Movie S3.
Efficient voice leading between structurally similar chords.

Movie S4.
Figure 1, as it appears in several different orbifolds.

To view these movies, download a QuickTime viewer.





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Science. ISSN 0036-8075 (print), 1095-9203 (online)