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Inner%20metric%20analysis%20and%20its%20perceptual%20evaluation

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Title: Inner%20metric%20analysis%20and%20its%20perceptual%20evaluation


1
Inner metric analysis and its perceptual
evaluation
Anja FleischerInterdisciplinary Research Group
for Mathematical Music Theory Technical
University Berlinsponsored by
Volkswagen-Foundation
2
Inner metric analysis
Perceptual evaluation
Music theory Empiric science
  • Investigating phenomena immediately related to
    perception and which therefore can be tested with
    the help of empiric interviews
  • models of structure of the score (mathematical
    model of metrics)
  • Model of perception
  • Syntactic/paradigmatic relations between signs
    of the score
  • Neutral level (Nattiez)

3
Inner metric analysis
Perceptual evaluation
Music theory Empiric science
Analytic Interpretation
4
Analytic Interpretation
  • Adorno, Riemann The task of the performer is to
    elucidate the structure of a piece of music to
    the audience, to communicate his understanding of
    the piece to the listener.
  • use analytic information as help for decisions
    concerning the performance of the piece
  • use resulting performance in listening experiments

5
Analytic Interpretation
Experimental approach
RUBATO- Software for Musical Analysis and
Performance
Inner metric analysis
6
Model of inner metric analysis Metric weight
RUBATO
7
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8
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9
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10
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11
Inner metric structure
Outer metric structure
12
3. Symphony op. 90 1. Movement (6/4) Johannes
Brahms
Excerpt from Metric weight W2,2 of the
exposition (bars1-35)
13
Sing we and chant it (3/4) Thomas Morley
W2,2
14
2. Symphony, 1. movement Johannes Brahms
W2,2
15
Metric Coherence
  • correspondence between inner and outer metric
    structure
  • presuppositionoccurrence of regularity (weight
    layers corresponding to specific periods)
  • a metric subscale of outer metric hierarchy
    significant in the inner metric weight
  • phase-coincidence, phase-displacement

16
3. Symphony Robert Schumann
1. movement
Analyse der Exposition 3/2-Takt
David Epstein that the first six measures of
the opening, in their metric organization ...
make unclear whether the music is to be perceived
as 3/4 or as 3/2 (Beyond Orpheus)
17
3. Symphony Robert Schumann
Analysis of the Exposition 3/4
Analysis of the Exposition 3/2
18
3. Symphony Robert Schumann
Detail of the analysis of the Exposition 3/4
Detail of the analysis of the Exposition 3/2
19
B-Minor-Mass Johann Sebastian Bach
Patrem omnipotentem Soprano (part from analysis
of the whole piece)
Crucifixus all vocal parts (3/2)
20
Analytic Interpretation
  • Metric weights
    Performance
  • Do metric weights with a high degree of coherence
    produce performances which express the
    metric structure of the piece more clearly to the
    listener?

21
score
performance
Metric coherence
analysis
22
Listening experiments
23
Metric weights of different degree of coherence
of the same piece
Last measures of the altus of Gratias Analysis
of the whole piece lt---gt Analysis of the part
Beginning of Credo, all vocal parts Analysis of
the whole piece for vocal parts lt---gt Analysis of
the whole piece for separate vocal parts
24
Credo analyses of single vocal parts
25
Credo all vocal parts
26
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28
Listening experiments
  • relationship between metric coherence and the
    understanding of the corresponding interpretation
    by the listeners detected
  • metric weights of higher degree of coherence led
    to a more convincing interpretation regarding the
    question in how far the metric structure was
    expressed properly

29
Inner metric analysis
Perceptual evaluation
Music theory Empiric science
Analytic Interpretation
  • correspondence between perceptual evaluation of
    listeners and the shape of the analytical
    performance --gt relation between model of metric
    structure of the score and the understanding of
    listeners

30
For further information see dissertation Anja
Fleischer Analytic interpretation. Steps
towards the Exploration of a Research Field
exemplified on Metric Structures (order the book
or download pdf under http//www.dissertation.de)
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