Performed and perceived dotting are different: implications for the dotting debate Submitted to CIM04, 27 October 2003 Dorottya Fabian University of New South Wales d.fabian@unsw.edu.au Emery Schubert University of New South Wales e.schubert@unsw.edu.au Desired mode of presentation talk Background in Performance: In the literature on baroque performance practice there is a controversy regarding the “appropriate” delivery of dotted rhythms, particularly in French overtures and pieces where dotted patterns are prominent (Donington, 1989; Neumann, 1993; Hefling, 1993). The debate focuses on the question whether or not the ratio of dotting should be mechanical (0.75:0.25) or overdotted (eg. 0.875:0.125). A further matter that is discussed at some length is related to articulation: whether or not a rest should be inserted between the long and the short note. In the course of the various arguments both these issues are discussed in the context of affect (or musical character) created. A previous study (Fabian & Schubert 2003-4) showed that the judgement of musical character depended largely on perceived articulation and tempo whilst perceived dotting did not play a significant role. But is perceived and performed dotting the same? Background in Psychology: Neither the historical treatises nor the modern literature distinguish whether they are discussing perceived or performed dotting. Yet in our other study (Schubert & Fabian 2001) we demonstrated experimentally the existence of an illusion: listeners perceive identical dotting ratios as being more dotted when the articulation is short (staccato) or the tempo is increased. This indicates that perceived and performed dotting might be different and that perceived dotting is likely to be a function of articulation and tempo as well as dotting. Aim: To find out if there is a difference between perceived and performed dotting. If so, is it a function of articulation and tempo? Method: We used 32 commercial recordings of Variation 7 from Bach’s Goldberg Variations (selected from Fabian & Schubert 2003-4) and prepared acoustic measurements of tempo, dotting and articulation using sound analysis software. We then compared the results of this ‘objective’ measurement with the subjective ratings of 98 undergraduate music students reported in the earlier study. Results: A Pearson correlation analysis was conducted among all measured and perceived variables. Each measured parameter was significantly correlated with its perceived counterpart at p = 0.05. The lowest correlation across these pairs was between measured and perceived dotting (r = 0.349, p = 0.050). Based on the assertion that dotting is a function of articulation and tempo, a regression analysis was performed to model dotting as a function of the three measured variables. The coefficients explained 45.4% of the variance (R=0.712), with each of the three variables making a roughly similar, significant (at p = 0.01) contribution, with tempo making the strongest ( = 0.431). Articulation made a negative contribution ( = -0.373) because shorter articulation is associated with increased perceived dottedness. Conclusions Consistent with the findings of Schubert and Fabian (2001), perceived dotting ratio is different from performed dotting ratio. It seems to be a function of fast tempo and shorter articulation in addition to the dotting ratio itself. The important implication of this finding is that listeners are unlikely to be able to judge performed dotting ratios accurately, and so suitable dotting ratios for performance cannot be determined by listening alone. Conversely, since performed dotting ratios are not perceived in isolation from other musical features, we offer an explanation which may help to crystallise the dotting debate. We propose that perceived dotting is a kind of musical character rather than a reflection of a performed ratio. For this reason, performed dotting ratio alone is not enough to determine optimum aesthetic affect. So to examine perceived dotting purely in terms of performed dotting, as has been done, is flawed. Reference: Donington, R. (1989). The Interpretation of Early Music London: Faber Fabian, D & Schubert, E. (2003-4). Expressive devices and perceived musical character in 34 performances of Variation 7 from Bach’s Goldberg Variation. Muscae Scientiae Special Issue (in press) Hefling, S. (1993). Rhythmic Alteration in Seventeenth- and EighteenthCentury Music New York: Schirmer Neumann, F. (1993). Performance Practices of the Seventeenth and Eighteenth Centuries New York, Schirmer Schubert, E & Fabian, D (2001). Preference and perception in dotted 6/8 patterns by experienced and less experienced baroque music listeners. Journal of Music Perception and Cognition 7 (2), 113-132 First author Name Current position Main research disciplines Main research areas Relevant qualification Book Publication Dorottya Fabian Senior lecturer, University of NSW (Sydney) Music history, performance Sound recordings, performance practice PhD in musicology, UNSW 1999 Bach Performance Practice 1945-1975 (Ashgate, 2003) Second author Name Current position Main research disciplines Main research areas Relevant qualifications Emery Schubert Postdoctoral Fellow music psychology, acoustics, statistics Emotion in music, music perception BE, BA (Hons in Music and Psychology), PhD