Metric Dissonance in Non-Isochronous Meters Page: 66
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The increase in dissonance prior to the moment of resolution not only occurs at the beat
level, but also at the measure level. As opposed to the opening section, where both hands
performed in meters with a cardinality of nine eighth-notes, this section involves meters of
differing cardinalities. To consider the level of dissonance and consonance at the metric level
when dealing with differing cardinalities, it is necessary to reconceptualize Krebs's principle of
proximity. As it stands, his principle of proximity works for displacement dissonances, which by
nature involve meters of a shared cardinality. For those dissonances involving differing
cardinalities, I determine the level of dissonance using two priorities, in order of importance:
1) Number of dissonant attacks
2) Closeness of attacks
The second priority relies on Krebs's principle of proximity, which posits downbeats that
occur closer in proximity are more dissonant. In Hungarian Rock, the dissonances at the
downbeat level are variable as the cardinalities of the right-hand meters change.
Whereas CBAP visuals show dissonances at the beat level, they do not illuminate
dissonances at the metric level. I show dissonance at the metric level using a CDAP (Composite
Downbeat Attack Point) visual (Example 5.5). CDAP visuals use the same notation as CBAP
visuals, but they focus on the metric-level dissonances by only showing the downbeats
articulated by each of the hands. By incorporating the two priorities discussed above, I determine
the relative dissonance of each measure (summarized in Example 5.6). Dissonance at the level of
the measure in this section roughly corresponds with the dissonance at the beat level. Although
every downbeat in this section is dissonant, meaning none of the right-hand meter downbeats
coincide with left-hand ones, there is a general trajectory from more consonant to more
dissonant. For example, according to my priorities for metric-level dissonance, m. 46 is more
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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/m1/77/: accessed April 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .