Descending Diminished Seventh Chords: Integrating Perspectives of Chordal
Structure, Fundament Progression, Diatonic and Chromatic Voice Leading Our analysis
of the diminished seventh chord sequence (such as in the Coda of Bach's Chromatic Fantasy, in Mozart's Piano
Sonata K533/i mm. 213-218, or in Chopin's E-minor Prelude Op. 28 No. 4)
involves at least three levels of the scalar hierarchy: structural, diatonic
and chromatic. Most puzzling is the ambivalence of the minor third along these
levels. At the structural level it embodies the ‘augmented prime’, i.e. the
difference between the large step (P4) and the small step (M2). This
circumstance is relevant for investigation of fundament progressions. At the
diatonic level, the minor third embodies the dual concept of that of the
diazeuxis (sum of M2 and m2 as the dual construct to the difference between P5
and P4). The circumstance is closely related to the fact that the difference
between the tonics of major and relative minor modes, is a minor third. At the
chromatic level the minor third is a generator of the diminished seventh
chord, and thereby it exemplifies a violation of the CV-property for chords
(cardinality equals variety). In our paper we explore the relevance of these
distinguished properties in analytical situations. |
Programme > Session 9B: Algebraic Combinatorics of Scales and Modes with Applications to Music Analysis >