July 28th, 2009 Cho, Maxx. (2008). "The Algebraic Compatibility of Riemannian Operators' Voice-Leading Properties."

In the early formulations of Riemannian music theory, the Riemannian operators were defined at least in part by their voice-leading properties. However, some have suggested a root-intervallic approach to the operators. This has the advantage of crystallizing the operators’ algebraic properties, but has the disadvantage of abandoning their voice-leading properties. In this paper, we show that there exist classes of pc-set classes for which it is possible to define automorphisms on the Riemannian group that preseve their voice-leading properties.