Developing Ogolevets's Doubly Augmented Prime: Semitonal Voice Leading in the Music of Shostakovich Page: 71
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to and from a C major triad (open note heads). The stacked tendency tones themselves must not
be taken as representatives of triadic harmonies, rather as individual tones that shadow the tones
of the tonic triad. The tones to the left of the tonic triad resolve upwards and the tones to the right
resolve downward. For example, E has two tendency tones: D# (leading tone) and F (leaning
tone). One must adopt this general viewpoint to fully understand the voice-leading function of
the DAP. Notice the DAP, shown with thick arrows, that occurs because of these two groups of
tendency tones: Db/D#. In the music of Shostakovich, one might see several block chords that
alternate between all sharps to having all flats. Instances such as this produce the DAP, which
resolves to a tonic member dyad, a current or new tonic, or two separate modes.
Example 4.3: Tendency tones of a C major tonic triad.
Leading ionI LeNning Lum
lid f Nwp bVlVW ElA f stwp abpw
tonic chord mimburm kioi chard mrmb r
There are two parts to a DAP: First, the pitches in question, and second, their resolutions.
The pitch members of a DAP involve one "leading" tone and one "leaning" tone. I first discuss
the pitches within a DAP. The pitch members of a DAP must have the two important
distinctions: 1) The two pitches must share the same white-key letter name (i.e. C, D, E, etc...)
because each such letter name refers to a single, individual scale degree in a seven-step scale or
mode, and 2) the pitches must be two accidentals apart, either a) one natural and one double
sharp or flat (i.e. C and Cx), or b) one flat and one sharp (i.e. C# and Cb).179 The resolution of
the DAP requires a leading tone (a note one semitone below the diatonic version of the scale
179 Orthography is very important for the DAP because enharmonicism does not qualify.71
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Hatch, Amy M. Developing Ogolevets's Doubly Augmented Prime: Semitonal Voice Leading in the Music of Shostakovich, dissertation, May 2022; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc1944286/m1/82/: accessed July 17, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .