Notes on the Opening of the F# Minor Fugue from WTCI

Abstract

In a recent article I proposed analytic study of this fugue using a graph that lays out various forms of pcset (013) in a certain format.' A version of that graph, somewhat modified for present purposes, is displayed below. Until further notice, graph is be considered as extending indefinitely in all directions. Forms of (013) that are displayed as adjacent vertically include same minor-second dyad. Forms that are adjacent upper-left-and-lower-right include same major-second dyad. Forms that are adjacent lower-left-and-upper-right include same minor-third dyad. In cited article, I point out that the analogous graph for... harmonic triads would illustrate, in its three different directional bondings, Riemann's relations of our relative major/minor, of our parallel major/minor, and of his Leittonwechsel.2 Related matters are studied exhaustively in important recent work by Richard Cohn.3 On graph as given here certain (013)-forms appear using lowercase letter names. The reason for that will become clear later on. At present, one can observe that lower-case forms fill a connected region of graph. My cited article invites its readers to explore how graph is surfed by consecutive forms of Forte-set 3-2 in J. S. Bach's chorale prelude on