Skip to main content
Presentation
A Quantitative Model of Key Distance, with an Analysis and Performance of Schumann’s "Märchenbilder", Op. 113 (music theory presentation, lecture-recital)
Schumann Perspectives, A View Across Disciplines: An International Conference Commemorating the 150th Anniversity of Robert Schumann's Death, Texas Tech University (2006)
  • Dominic Dousa, University of Texas at El Paso
  • Renee Skerik, Texas Tech University
Abstract

Musicians are familiar with the traditional categorizations of key relationships: closely related, parallel, relative, and foreign. While some of these terms do describe well the relatedness of keys, they do not provide a clear means of comparing the relative remoteness of all keys from a particular reference key. For example, how much “more distant” is E-flat major from C major than is G major or D minor? The model presented in this lecture includes a number of important factors that may affect the perception of key relationships and assigns numerical measures to those factors. These measures are then used in a formula that provides a relative scale of key distance from one reference key to all other twenty-three major and minor keys. An important concept that is part of the model is key-distance asymmetry — that the distance from key ‘A’ to key ‘B’ is not the same as the distance from key ‘B’ to key ‘A’. After an outline of the model and a brief summary of its notable features, this model will be used to analyze key relationships in Schumann’s "Märchenbilder", a four-movement suite for viola and piano (Op. 113). This analysis will draw attention to the different types of key relationships that Schumann employs and their relative aural effect. A performance of the entire suite concludes the presentation.

Publication Date
September 30, 2006
Citation Information
Dominic Dousa and Renee Skerik. "A Quantitative Model of Key Distance, with an Analysis and Performance of Schumann’s "Märchenbilder", Op. 113 (music theory presentation, lecture-recital)" Schumann Perspectives, A View Across Disciplines: An International Conference Commemorating the 150th Anniversity of Robert Schumann's Death, Texas Tech University (2006)
Available at: http://works.bepress.com/dominic_dousa/4/