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TU Berlin

Inhalt des Dokuments

Analyse neuronaler Daten

Buchkapitel

Toroidal Models in Tonal Theory
Zitatschlüssel Purwins2008
Autor Purwins, H. and Blankertz, B. and Obermayer, K.
Buchtitel Tonal Theory for the Digital Age - Computing in Musicology
Seiten 73 – 98
Jahr 2008
Verlag Stanford University
Zusammenfassung 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.
Typ der Publikation Selected:music
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