Results (
Thai) 1:
[Copy]Copied!
A chord is inversionally symmetrical (I-symmetrical) if it is invariant underreflection in pitch class space. Nearly I-symmetrical chords are near these chords, and canbe found throughout the orbifolds (16). For example, the Fs half-diminished seventh chord 6{6, 9, 0, 4} and the F dominant seventh chord {5, 9, 0, 3} are related by inversion, and arevery close to the I-symmetrical chord {5.5, 9, 0, 3.5}. Consequently, we can find anefficient voice leading between them (6, 9, 0, 4)(5, 9, 0, 3) (Fig. 1C) (16). Nearly Tsymmetricalchords, such as the C major triad, and nearly P-symmetrical chords, such as{C, Df, Ef}, can also be nearly I-symmetrical. Consequently, I-symmetry is exploited inboth tonal and atonal music. It plays a salient role in the nineteenth-century, particularly inthe music of Schubert (22), Wagner (23), and Debussy (Fig. 1C).
Being translated, please wait..