Metric Dissonance in Non-Isochronous Meters Page: 36
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levels. CBAP visuals, unlike modified ski-hill graphs, are limited to showing two metrical levels
at a given time, which is why both CBAP (beat and measure) and CDAP (measure and
hypermeasure) methodologies are necessary. CBAP and CDAP visuals are better, however, at
showing exact points of dissonance within a measure or hypermeasure. CBAP visuals work best
when considering 1) asymmetrical dissonances that do not occur over a shared time span and do
not include pulse ratios beyond 2:3 (Bart6k) and 2) internal asymmetrical dissonances that occur
over a shared time span (Piern6). Both methodologies are necessary to deal with metric
dissonances occurring in much of the music of the 20th and 21st centuries.
Example 3.9. CBAP visual for Piern6's Piano Quintet, no. 41, mm. 20-27
_ ~ I
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Smith, Jayson. Metric Dissonance in Non-Isochronous Meters, dissertation, August 2018; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc1248499/m1/47/: accessed April 18, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .