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| Citation key | Purwins2008 |
|---|---|
| Author | Purwins, H. and Blankertz, B. and Obermayer, K. |
| Title of Book | Tonal Theory for the Digital Age - Computing in Musicology |
| Pages | 73 – 98 |
| Year | 2008 |
| Publisher | Stanford University |
| Abstract | The doubly circular relations of the major and minor keys based on all twelve pitch- classes can be depicted in toroidal models. We demonstrate a convergence of derivations from the different bases of conventional harmonic theory and recent experiments in music psychology. We present a formalization of the music-theoretical derivation from Gottfried Weber’s 1817 chart of tone-centers by using a topographic ordering map. We find the results to be consistent with Krumhansl and Kessler’s 1982 visualization of perceptual ratings. |
| Bibtex Type of Publication | Selected:music |
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