Metric Dissonance in Non-Isochronous Meters Page: 16
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those of Cohn and Krebs and can be used with asymmetrical meters, it does not illuminate
metrical, hierarchical pulses in music.
Example 1.14. Roeder's grouping analysis of Bart6k's "With Drums and Pipes," m. 263'
This chapter illuminates the problems that arise when using current methodology to
explore metric dissonances involving non-isochronous pulses. Chapter 2 will introduce a
modified ski-hill graph methodology to account for metric dissonance involving non-isochronous
pulses over shared time spans, such as 5/4 meters grouped simultaneously as 2+3 and 3+2.
Chapter 3 introduces Composite Beat Attack Point and Composite Downbeat Attack Point
notations that clarify processes of metric dissonance involving any non-isochronous pulses.
Chapters 4-6 offer extensive analyses of individual works using the methodologies
introduced in Chapters 2 and 3. Chapter 4 applies modified ski-hill graphs and Composite Beat
Attack Point visuals to analyze metric dissonance in Holst's "Mars" from The Planets. This
analysis expands on Edward Macan's work by exploring the interplay between goal-oriented
pitch events and goal-oriented metric dissonance.32 The combination of these two factors lends to
a greater understanding of war-like nature of the movement.
31 Roeder, "Pulse Streams and Problems," par. 2.7.
32 Edward Macan, "Holst's 'Mars': A Model of Goal-Oriented Bitonality," in Music in Performance and Society:
Essays in Honor of Roland Jackson, ed. John Koegel and Malcolm S. Cole (Warren, Mich.: Harmonie Park, 1997).
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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/m1/27/: accessed April 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .