Details

Autor(en) / Beteiligte

• Harper, Steven Andrew

Titel

Minimal interval content descriptions

Ort / Verlag

ProQuest Dissertations & Theses

Erscheinungsjahr

1994

Quelle

ProQuest Dissertations & Theses A&I

Beschreibungen/Notizen

• Minimal interval content descriptions are collections of n-1 interval classes used to describe pitch-class sets. A collection of intervals is an scMIC if two conditions are met: (1) each set element is included in at least one interval; and (2) each interval shares a set element with at least one other interval. Several theorists, including Richard Chrisman, Alan Chapman, Christopher Hasty, and Allen Forte have employed collections of intervals of less than the total interval content of a set to describe it. In each case, however, there is a limitation on the manner in which the description is generated. Thus, they do not exhaust the possibilities under the above conditions, and, more importantly, they ignore techniques employed by composers of atonal music. Chapter Two reviews the historical record for evidence of scMICs. Schoenberg's analytic writings are considered, with special emphasis on the analysis of the first of the Four Orchestral Songs, Op. 22. The third chapter compares the results of scMIC theory and more traditional techniques using music by Webern. scMIC analyses are contrasted with a motivic analysis of "Dies ist ein Lied fur dich allein," Op. 3, No. 1 by Elmar Budde and a set analysis of the Movement for String Quartet, Op. 5, No. 2 by John Vander Weg. The fourth chapter consists of an extensive analysis of the Four Pieces for Violin and Piano, Op. 7.