Index of /~echew/papers/MCM2007
Name Last modified Size Description
Parent Directory 13-Sep-2009 18:19 -
reference2.txt 21-May-2007 20:47 1k
reference1.txt 21-May-2007 20:46 1k
ec-mcm2007ws.pdf 21-May-2007 20:33 233k
fri1-chew-francois.pdf 21-May-2007 20:26 581k
sat5b-cheng-chew.pdf 21-May-2007 20:26 601k
ecec-mcm2007.pdf 21-May-2007 20:33 605k
ecaf-mcm2007.pdf 21-May-2007 20:33 2.1M
In this directory are the PDF files for the following papers
[1] "Visible Humour - Seeing P.D.Q. Bach's Musical Humour Devices in
The Short-Tempered Clavier on the Spiral Array Space"
by Elaine Chew (echew@usc.edu) and Alexandre Francois (afrancoi@usc.edu)
[2] "A Local Maximum Phrase Detection Method for Analyzing Phrasing
Strategies in Expressive Performances"
by Eric Cheng (echeng@post.harvard.edu) and Elaine Chew (echew@usc.edu)
[3] "Pitch Symmetry and Invariants in Webern's 'Sehr Schnell' from
Variations Op.27"
by Elaine Chew (echew@usc.edu)
The papers were presented at the First International Conference of the
newly founded Society for Mathematics and Computation in Music (SMCM),
Mathematics and Computation in Music (MCM 2007), Berlin, Germany.
May 18-20, 2007.
The papers are published in the Proceedings of MCM 2007.
Click on reference.txt for the BibTeX references.
The conference program can be viewed at
http://www.mcm2007.info/program.html
THE COMPLETE PAPERS, text with figures, can be viewed as PDF documents.
Both proceedings and submission format PDFs are stored in this directory.
Proceedings format is one-column, submission format is two-columns.
Submission format is sometimes of higher resolution.
ecaf-mcm2007.pdf - [1] in submission format
fri1-chew-francois.pdf - [1] in proceedings format
ecec-mcm2007.pdf - [2] in submission format
sat5b-cheng-chew.pdf - [2] in proceedings format
--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--
"Visible Humour - Seeing P.D.Q. Bach's Musical Humour Devices in The
Short-Tempered Clavier on the Spiral Array Space"
by Elaine Chew (echew@usc.edu) and Alexandre Francois (afrancoi@usc.edu)
ABSTRACT: We explore the use of the Spiral Array spatial visualization
of tonal evolution through time for the visual analysis of
P.D.Q. Bach's "The Short-Tempered Clavier". In particular, we analyze
situations in which we can see some of the humour devices abstracted
in an earlier study by David Huron. We conclude that although we can
see a good number of Schickele's humour devices - such as incongruent
styles, musically improbable tonality and harmony shifts, and
excessive repetition - we do not yet have sufficient information to
form a robust computer-based method for detecting musical humour.
--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--
"A Local Maximum Phrase Detection Method for Analyzing Phrasing
Strategies in Expressive Performances"
by Eric Cheng (echeng@post.harvard.edu) and Elaine Chew (echew@usc.edu)
ABSTRACT: This paper proposes a Local Maximum Phrase Detection (LMPD)
method for the analysis of phrasing strategies in expressive
performances. The LMPD method systematically extracts a quantitative
representation of phrasing strategy by equating the occurrence of a
local maximum in the loudness curve with the occurrence of a phrase or
sub-phrase. We further define mathematical descriptors for phrase
strength and volatility, and phrase typicality, for comparing phrasing
strategies among performances. Phrase strength measures the
prominence or clarity of a phrase, and the volatility is defined as
the standard deviation of the phrase strengths within a performance.
Phrase typicality quantifies the degree to which a phrase peak
location is characteristic among the performances polled. We
illustrate the LMPD method using preliminary results from its
application to eleven commercially available audio recordings of a
solo violin Bach Sonata.
--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--
"Pitch Symmetry and Invariants in Webern's 'Sehr Schnell' from
Variations Op.27"
by Elaine Chew (echew@usc.edu)
ABSTRACT: We use the Argus algorithm as outlined in
[Chew2005,Chew2006] to measure (single or clustered) pitch changes in
Webern's 'Sehr schnell', the second piece in his "Variations Op.27".
In previous analyses employing the Argus algorithm, the computational
results have been used to determine points of statistically
significant change, which correspond to key or section changes.
Instead of focussing only on the peaks, this paper considers
symmetries and invariants revealed by the numerical results, paying
particular attention to the stationary points as reflected by the zero
values on the graph. These zero points signify places with identical
mappings of the pitch(es) in consecutive time windows. We analyze the
results for small window sizes of one, two, and three eighth notes.
The findings give rise to a pitch geometry map inside the Spiral
Array, centered on the radius through pitch A, that explains Webern's
pitch choices in 'Sehr schnell'.
--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--,--'--