Metric Dissonance in Non-Isochronous Meters Page: 89
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I have shown the processes that contribute to temporal instability at the level of the
phrase and the level of the measure. Significant conflicts also occur at the level of the beat. The
beat groupings of the right-hand melody undergo a truncation when they fall on the 7/8 measure.
For example, m. 4, the end of the first subphrase, is 7 long, and the end of the first subphrase
of the second phrase, m. 18, is a c. As the metric diminution occurs, so does internal grouping
diminution. Just as the internal groupings were altered at the intermittent measures of 7/8 at the
beginning in the right hand, the groupings are altered further when metric diminution occurs. In
the 6/8 measures, the original groupings of 5 and 3 become groupings of 4 and 2. At the 5/8
measures, the groupings become 3 and 2, and at the 4/8 measures, they become 3 and 1.
Because the metric diminution follows different processes in each hand, grouping
dissonance occurs. The internal beat grouping dissonance becomes more intense as the metric
dissonance ensues. This is illuminated by the Composite Beat Attack Point (CBAP) visual
(Example 6.3). Whereas the CDAP visual reveals patterns at the level of the measure, the CBAP
visual reveals the points of dissonance at the beat level, where the two hands' beats conflict with
one another. Note the points of dissonance become relatively closer and closer together towards
the end of the section, reflecting Harald Krebs's principle of proximity.57
As with the metric diminution, the beat-diminution processes of the individual melodies
generate a written-out accelerando. The beat diminution effectively transforms the smaller, beat-
unit patterns from the beginning of the section into larger metrical patterns. For example, the full
measure at the end of the A section is four eighth notes in duration, which is shorter than the 5-
5 Krebs's principle of proximity refers to displacement dissonance, but I believe it can also be used to illuminate
relative strength of grouping dissonance.
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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/m1/100/?rotate=180: accessed June 26, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .