An arpeggiation that speeds up and slows down once or several times, often evokes the association of a visual gesture. Consequently, this section reflects on how the internal tempo structure of an arpeggiation can be translated into a gesture-like visualization.
In 2008, a team of authors researching in Austria proposed using phase-plane visualizations to emphasize the dynamic and gestural quality in expressive timing (Grachten 2008) and slightly extended it in 2009 (Grachten 2009), highlighting its performer-specific aspect and suggesting an alphabet of prototypical forms for future work. This method is including tempo derivatives in the visualization in addition to the tempo itself. While Grachten et al. use it to visualize expressive tempo modifications, it seems to be highly adequate for visualizing the gestural quality of arpeggiations as well.
The graphs should be read as trajectories. While the horizontal axis represents tempo itself in beats per minute (BPM), the vertical axis represents the change (derivation) of tempo. Every single note of the arpeggio is represented by a point that is connected with the point of the next note.
I will further demonstrate this form of visualization by comparing four different interpretations of harpsichordists playing the opening arpeggio of the Prelude nonmesuré "à l'imitation de Froberger" by Louis Couperin.
From those visualizations, some conclusions can immediately be drawn: Magdalena Hasibeder breaks the arpeggio down into three gestures, while every gesture is faster than the previous one, and finishes with a strong retard. Francesco Corti on the other hand interprets the arpeggio as only one gesture by very evenly speeding up and slowing down. His interpretation represents the rapid gesture of all four interpretations. Gustav Leonhardt starts with a very fast arpeggiation, gives more time subsequently in order to initiate two gestures from there. He finishes rather fast.
In the Sarabande L'unique, gestural arpeggiation happens very frequently. The graphic below shows every note attack represented as a vertical line on a time axis. The more lines are densely packed together, the more notes attacks are occuring in that place. This visual representation allows easily to group together a set of notes as one gesture.