Abstract
The statistical process of seriation arranges a set of objects along a one-dimensional line so that the distance between each pair of objects reflects the dissimilarity between them. The process has recently been cast into an algorithm which makes it feasible to seriate a few tens of objects efficiently on a personal computer. This algorithm is now used for establishing a chronology of the Troubadours according to certain melodic features in their works. Other musicological uses for seriation are proposed.
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References
Arabie, Phipps and Lawrence Hubert. “Combinatorial Data Analysis.”Annual Review of Psychology, 43 (1992), 169–203.
Carroll, J. Douglas and Phipps Arabie. “Multidimensional Scaling.”Annual Review of Psychology, 31 (1980), 607–649.
Carroll, J. Douglas and Geert De Soete. “Toward a New Paradigm for the Study of Multiattribute Choice Behavior.”American Psychologist, 46 (1991), 342–351.
Defays, D. “A Short Note on a Method of Seriation.”British Journal of Mathematical and Statistical Psychology, 31 (1978), 49–53.
Doran, J. E. and F. R. Hudson.Mathematics and Computers in Archaeology. Edinburgh: Edinburgh University Press, 1975.
Halperin, David. “Towards Deciphering the Ugaritic Musical Notation.”Musikometrika, 4 (1992).
Hubert, Lawrence and Phipps Arabie. “Unidimensional Scaling and Combinatorial Optimization.” InMultidimensional Data Analysis. Ed. Jan de Leeuwet al. Leiden: DSWO Press, 1986.
Kendall, D. G. “A Mathematical Approach to Seriation.”Philosophical Transactions of the Royal Society of London, Series A, 269 (1970), 125–135.
Kendall, D. G. “Seriation from Abundance Matrices.” InMathematics in the Archaeological and Historical Sciences. Eds. F. R. Hodson, D. G. Kendall and P. Tautu. Edinburgh: Edinburgh University Press, 1971.
Robinson, W. S. “A Method for Chronologically Ordering Archaeological Deposits.”American Antiquity, 16 (1951), 293–301.
Schama, Simon. “The Master's Hand?”Times Literary Supplement, 20 March 1992, p. 17.
van der Werf, Hendrik.The Extant Troubadour Melodies. Rochester, N.Y.: published by the author, 1984.
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David Halperin is a Lecturer in the Department of Musicology, Tel Aviv University, specializing in computer-aided analysis of monophonic music. He has published articles on the Ambrosian chant and on the ancient musical notation from Ugarit. His publications include “A Segmentation Algorithm and its Application to Medieval Monophonic Music,”Musikometrika, 2 (1990) and “Towards Deciphering the Ugaritic Musical Notation,”Musikometrika, 4 (1992).
This is an expanded version of a paper given at the 15th Congress of the International Musicological Society, Madrid, 1992.
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Halperin, D. Musical chronology by seriation. Comput Hum 28, 13–18 (1994). https://doi.org/10.1007/BF01830683
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DOI: https://doi.org/10.1007/BF01830683