Developing Ogolevets's Doubly Augmented Prime: Semitonal Voice Leading in the Music of Shostakovich Page: 54
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Example 3.5: Original and re-interpretation of the spiral of fifths. From Ogolevets (1946, 171,
Example 12).rL ,
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r r a '
r I g.
d oa a%. A
ri.. - G
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fly AxOgulevets is iginal Figure
Re-interpretadon of the
spiral of firiksBecause Ogolevets shifts focus from more traditional harmonies in his 1941 text to more
contemporary ideas in the 1946 book, the music for analysis becomes more complex and
requires more explanation beyond the line of fifths. The DAP, therefore, occurs more often in the
analysis of contemporary, twentieth-century music. In theory, DAPs generate in three distinct
ways: 1) Through formation within structures related to diminished and augmented seventh-
chords, 2) derivation from complex mode combinations ("Order of Connection"), and 3) tritone-
oriented combinations of twelve-tone collections ("Hierarchy of System Connections"). First, I
explain the way DAPs generate from diminished and augmented seventh-chords.
3.3.1 Diminished and Augmented Seventh-Chords
The first of these generations appears in a discussion of what American theorists would
call octatonicism.149 When the octatonic collection is spelled with specific enharmonicism, it can
149 For more discussion about Russian theory views of octatonicism, see Philip Ewell, 2013, "'On the System of
Stravinsky's Harmony' by Yuri Kholopov" Translation and Commentary," Music Theory Online 19, no. 2.54
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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/m1/65/?rotate=270: accessed July 17, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .