ACM Home Page
Please provide us with feedback. Feedback
On the relation between rhythm complexity measures and human rhythmic performance
Full text PdfPdf (227 KB)
Source C3S2E; Vol. 290 archive
Proceedings of the 2008 C3S2E conference table of contents
Montreal, Quebec, Canada
SESSION: Applications table of contents
Pages 199-204  
Year of Publication: 2008
ISBN:978-1-60558-101-9
Authors
Eric Thul  McGill University, Montréal, Canada
Godfried T. Toussaint  McGill University, Montréal, Canada
Sponsors
: ACM International Conference Proceedings Series
Concordia University : Concordia University
: BytePress
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 27,   Citation Count: 0
Additional Information:

abstract   references   index terms   collaborative colleagues  

Tools and Actions: Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/1370256.1370289
What is a DOI?

ABSTRACT

Six measures of musical rhythm complexity were compared experimentally to human difficulty of performance (performance complexity) using two data sets of rhythms, via phylogenetic trees of the rank-correlation coefficient matrices obtained from rankings of the rhythms according to the complexity measures. The results suggest the hypothesis that measures of rhythmic syncopation that are based on a weighted metrical hierarchy, are better predictors of human performance difficulty than measures based on cognitive complexity, weighted distances from onsets to beats, or mathematical irregularity.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
J. M. Díaz-Báñez, G. Farigu, F. Gómez, D. Rappaport, and G. T. Toussaint. El compás flamenco: a phylogenetic analysis. In Proceedings of BRIDGES: Mathematical Connections in Art, Music and Science, pages 61--70, 2004.
 
2
P. Essens. Structuring temporal sequences: comparison of models and factors of complexity. Perception and Psychophysics, 57(4):519--532, 1995.
 
3
W. T. Fitch and A. J. Rosenfeld. Perception and production of syncopated rhythms. Music Perception, 25(1):43--58, 2007.
 
4
O. Gascuel. BIONJ: an improved version of the NJ algorithm based on a simple model of sequence data. Molecular Biology and Evolution, 14(7):685--695, 1997.
 
5
F. Gómez, A. Melvin, D. Rappaport, and G. Toussaint. Mathematical measures of syncopation. In BRIDGES: Mathematical Connections in Art, Music and Science, pages 73--84, Banff, Alberta, Canada, Jul 2005.
 
6
F. Gómez, E. Thul, and G. Toussaint. An experimental comparison of formal measures of rhythmic syncopation. In Proceedings of the International Computer Music Conference, pages 101--104, Copenhagen, Denmark, Aug 2007.
 
7
M. Hollander and D. A. Wolfe. Nonparametric Statistical Methods, Second Edition. John Wiley & Sons, Inc., Toronto, 1999.
 
8
D. H. Huson and D. Bryant. Applications of phylogenetic networks in evolutionary studies. Molecular Biology and Evolution, 23(2):254--267, 2006.
 
9
M. T. Irfan, M. Akhtaruzzaman, M. S. Islam, and M. M. Alam. Mathematical representation and analysis of rhythms from various regions. In Proceedings of the International Conference on Information and Communication Technology ICT BUET, Dhaka, Bangladesh, 2007.
 
10
M. Keith. From Polychords to Pólya: Adventures in Musical Combinatories. Vinculum Press, Princeton, New Jersey, 1991.
 
11
M. Kendall and J. D. Gibbons. Rank Correlation Methods, Fifth Edtion. Oxford University Press, New York, 1990.
 
12
F. Lerdahl and R. Jackendoff. A Generative Theory of Tonal Music. MIT Press, Cambridge, MA, 1983.
 
13
H. Longuet-Higgins and C. Lee. The rhythmic interpretation of monophonic music. Music Perception, 1(4):424--441, 1984.
 
14
D. Povel and P. Essens. Perception of temporal patterns. Music Perception, 2:411--440, 1985.
 
15
J. Pressing. Cognitive complexity and the structure of musical patterns. http://www.psych.unimelb.edu.au/staff/jp/cog-music.pdf, 1999.
 
16
J. Pressing and P. Lawrence. Transcribe: a comprehensive autotranscription program. In Proceedings of the International Computer Music Conference, pages 343--345, Waseda University, Tokyo, Japan, 1993.
 
17
G. Strangman. Python modules stats and pstats. http://www.nmr.mgh.harvard.edu/Neural_Systems_Group/strang/python.html, Feb 2002.
 
18
E. Thul and G. Toussaint. A comparative phylogenetic analysis of African timelines and North Indian talas. In The 11th Annual Bridges Conference, BRIDGES LEEUWARDEN: Mathematics, Music, Art, chitecture, Leeuwarden, The Netherlands, Jul 24--28 2008.
 
19
G. Toussaint. The geometry of musical rhythm. In J. Akiyama, M. Kano, and X. Tan, editors, Proceedings of the Japan Conference on Discrete and Computational Geometry, volume 3742 of Lecture Notes in Computer Science, pages 198--212, Tokyo, Japan, 2005. Springer Berlin/Heidelberg.
 
20
G. T. Toussaint. A mathematical analysis of African, Brazilian, and Cuban clave rhythms. In BRIDGES: Mathematical Connections in Art, Music and Science, pages 157--168, Towson University, Towson, MD, Jul 2002.
 
21
G. T. Toussaint. Classification and phylogenetic analysis of African ternary rhythm timelines. In BRIDGES: Mathematical Connections in Art, Music and Science, pages 23--27, Granada, Spain, Jul 2003.
 
22
G. T. Toussaint. Classification and phylogenetic analysis of African ternary rhythm timelines (extended version). http://cgm.cs.mcgill.ca/~godfried/publications/ternary.pdf, Aug 2003.
 
23
G. T. Toussaint. A comparison of rhythmic similarity measures. In Proceedings of the International Conference on Music Information Retrieval, pages 242--245, Universitat Pompeu Fabra, Barcelona, Spain, Oct 10--14 2004.
 
24
G. T. Toussaint. A mathematical measure of preference in African rhythm. In Abstracts of Papers Presented to the American Mathematical Society, volume 25, page 248, Phoenix, Arizona, Jan 7--10 2004.
 
25
G. T. Toussaint. Mathematical features for recognizing preference in Sub-Saharan African traditional rhythm timelines. In Proceedings of the 3rd International Conference on Advances in Pattern Recognition, pages 18--27, University of Bath, Bath, United Kingdom, Aug 22--25 2005.
 
26
M. Yeston. The Stratification of Musical Rhythm. Yale University Press, New Haven, Connecticut, 1976.

Collaborative Colleagues:
Eric Thul: colleagues
Godfried T. Toussaint: colleagues