A study of 32 piano sonatas by Beethoven reveals a significant asymmetry between increasing and decreasing dynamics. Specifically: (1) crescendos are more frequent than diminuendos, (2) crescendos tend to last longer than diminuendos, (3) large changes of dynamics tend to involve reductions in loudness, and (4) crescendos will more commonly follow low dynamic levels than will diminuendos follow high dynamic levels. These results support a "ramp archetype" of musical dynamics in which the music tends to build in a gradual way, but tends to subside relatively quickly. The results parallel a previous study showing an identical textural asymmetry in the evolution of polyphonic sonorities.


Balzano, G. Measuring music. In A. Gabrielsson (Ed.), Action and perception in rhythm and music. Stockholm: Royal Swedish Academy of Music, 1987, pp. 177-199.
Beethoven, Ludwig van. Sonatas for solo piano. From Ludwig van Beethoven; Complete edition of all his works, Vols. 20-22. New York: Edwin F. Kalmus, n.d.
Huron, D. Increment/decrement asymmetries in polyphonic sonorities. Music Perception, 1990, 7(4), 385-394.
Nakamura, T. [The effect of pitch pattern on the recognized crescendo and decrescendo] (in Japanese). Reports of the 1982 Spring Meeting of the Acoustical Society of Japan, 1982, pp. 215-216.
Nakamura, T. The communication of dynamics between musicians and listeners through musical performance. Perception and Psychophysics, 1987, 41(6), 525-533.
Patterson, B. Musical dynamics. Scientific American, 1974, 231(5), 78-95.
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