Accent and Grouping Structures in the String Quartets of Béla Bartók Page: 47
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If a particular set surfaces in analysis with different timepoint values represented,
it is apparent that augmentation or diminution has occurred or that the set is present at
hypermetric levels. In figure 3.7, the timepoint value has changed from 8th notes to
quarter notes, indicating augmentation of the original set found in Figure 3.4
[1,4, 5, 8, 9, 10, 11, 12, 13]:4, t=16
Figure 3.7: Augmentation of Timepoint Set for Eine Kleine Nachtmusik
Complementation in this design is accomplished by listing the numerical entries
not present in the original set. This enables more complete analysis, in that the pattern of
non-attack sequences can be studied independently. This proves particularly valuable
when a composer exchanges timepoint sets and their complements within a composition.
[2, 3, 6, 7, 14, 15, 16]:8, t=16
Figure 3.8: Complement of Timepoint Set for Eine Kleine Nachtmusik
Timepoint Accent Structures
Both timepoint circles and timepoint sets have the potential to demonstrate
various types of relationships between rhythmic streams and cells. Timepoint circles are
visually compelling and timepoint sets offer a feasible approach for analyzing generative
structures. Yet one necessary element lacking in these designs is the accumulation of
successive timepoints of attacks and non-attacks into groups. By numerically grouping
these consecutive timepoint attacks or non-attacks together in a representational system,
patterns of symmetry or arithmetic progression sometimes emerge. In addition, seeing
the entire succession of both attack and non-attack groups concurrently can reveal47
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Bocanegra, Cheryl D. Accent and Grouping Structures in the String Quartets of Béla Bartók, dissertation, May 2001; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc2820/m1/57/: accessed March 28, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .