Transcript PPT

A Model of Metric Coherence
Anja Fleischer
Introduction
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Is it proper to assign a regular accent
structure to the notes according to the bar
lines?
RUBATO
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Describes the metric structure of the
notes without considering the time
signature and bar lines(outer meter).
All onsets of notes which are equally
distanced form an inner local meter.
metric analysis
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all inner local meters
containing at least
three onsets.
a = {0, 2, 4, 6}.
Only maximal local
meters are considered
within the analysis
a0 = {0, 2, 4} is not
considered.
upbeat of coherent character
Metric coherence
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Whenever a correspondence between
inner and outer metric structure can be
stated, metric coherence occurs.
The longest local
meter m of length k =
31
choosing l = 31.
Metric
weight
W25,2
W20,
2
W15,2
Metric weight W2,2
W2,3
W2,4
the greatest weights are
located
on the first beat of each
Schubert: Moment Musical op. 94 No. 4
Schumann’s Third Symphony
Listening experiments
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Credo-fugue from Bach’s B Minor Mess (46 persons)
Outcome,
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a relationship was detected between metric coherence
and the understanding of the corresponding interpretation
by the listeners.
Metric weights of higher degree of coherence led to a
more convincing interpretation