Hemiola, Hypermeter, and Phrase Boundary in a Piano Mazurka
A pianist is preparing a 32-bar mazurka in A minor, 3/4, for an analysis seminar. The left hand plays a bass note on beat 1 and chords on beats 2 and 3 in most bars, but in bars 9–12 the right-hand melody groups the same twelve quarter-note pulses into three two-beat units: accents fall on beat 1 of b.9, beat 3 of b.9, and beat 2 of b.10, continuing across the bar line. The accompaniment continues its 3/4 pattern unchanged. Bars 1–8 form a four-bar phrase plus a varied four-bar phrase, ending on a half cadence in A minor at b.8. Bars 9–12 are followed by a return of the opening material at b.13, now with a PAC in A minor at b.16. A student calls bars 9–12 'a new phrase in 2/4' and marks a phrase boundary after b.12. The teacher asks for a metric and phrase-structure analysis that distinguishes hypermeter from meter and identifies the role of texture.
1. Map the phrase and hypermetric structure of bb.1–16. Is b.9 a new phrase? Justify using cadence, motivic return, and grouping.
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The underlying meter remains 3/4 throughout; bb.9–12 create a hemiola, grouping twelve pulses as three units of two beats rather than four bars of three beats. That is a metric dissonance, not a change of meter to 2/4.
A plausible reading is a 16-bar period: antecedent bb.1–8 (4+4, HC at b.8), consequent bb.9–16. b.9 does begin the consequent, so it is a phrase beginning, but it is not a self-contained 2/4 phrase. The consequent continues through the hemiola and the return at b.13 to the PAC at b.16. The phrase boundary after b.12 is therefore premature: b.12 is not a cadence, and b.13–16 completes the tonal and motivic process. The return at b.13 is the closing limb of the consequent, not a separate phrase after a closed b.9–12 unit.
2. How does the accompaniment's texture create a conflict with the melody's accents, and what performance choices follow?
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The left hand projects a conventional mazurka texture: bass on beat 1, chords on beats 2 and 3, with the characteristic mazurka accent often on beat 3. The melody's hemiola shifts the perceived accent to beats 1, 3, and 2 across bb.9–12, creating a metric conflict between the notated bar and the melodic grouping.
A performer should not re-bar the passage or turn it into 2/4. Instead, project the underlying 3/4 hypermeter while allowing the melodic accents to create tension. The return at b.13 should restore the normal mazurka feel, making the hemiola sound like a disruption within a larger phrase rather than a new meter.