Cycling in Tonal Space Neo-Riemannian Theory in der dritten Dimension

Author:Rieke, Jakob

Article Title:Cycling in Tonal Space Neo-Riemannian Theory in der dritten Dimension

Abstract:
This article responds to suggestions of Neo-Riemannian Theory, referring to Richard Cohn. It presents some new three-dimensional models that depict the connections of triads and seventh chords as alternatives to Jack Douthett's and Peter Steinbach's Cube Dance and to Cohn's 4-Cube-Trio. Finally, variable models based on Edward Gollin's 3D-Tonnetz are described that may be applied to diverse chord classes.

Keywords: Alexander Scriabin; Hugo Wolf; Neo-Riemannian Theory (NRT); NRT models in three dimensions; three-dimensional Tonnetz

DOI: 10.31751/1009

Source:ZEITSCHRIFT DER GESELLSCHAFT FUR MUSIKTHEORIE

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