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"Thanks to equal temperament, we no longer need to
ask whether tonality is a natural or artificial language. On
the one hand, it is clear that it is based on the physical properties
of sound, and on the other, that it deforms and even alters
these properties in the single-minded attempt to create a real
language with richer and more complex possibilities."
Rosen, (1971, p. 27).
The term, harmonic structure, designates a system of relations
that exist between the complex sound events we call chords.
A chord is the result of three notes being played simultaneously.
From a historic point of view, the western harmonic system appears
as the result of a long theoretical and empirical exploration
of the structural potential of sound events. For cognitive psychology,
the task is to understand how a contemporary listener can perceive
a system in which both cultural conventions and a host of psycho-acoustical
constraints are tightly interwoven.
The researchers first objective is to separate structural factors
that come from a cognitive level of representation from those
more directly linked to psychoacoustical phenomena. The second
objective is to test the influence of global and local factors
on the perception of harmonic structures. At first, researchers
used an experimental method which involved measuring the degree
of subjective musical tension linked to each chord of a long
sequence, and in testing for the importance of cognitive and
psychoacoustical models.

Musical example
In the first example, the final chord produced a high level of
tension in the listener. In the second example, no tension was produced
by the final chord of the sequence, and the piece could very well
end on it. What are the psychoacoustical and cognitive factors at
play in these sensations of musical tension?
The second objective is to determine the influence of global and
local factors on the perception of harmonic structures. To test
for this influence, a harmonic priming paradigm is used which is
similar to the paradigm of semantic priming used in psycholinguistics.
Research has shown that, by and large, adult listeners who have
no specific musical training have nonetheless interiorized the fundamental
principles of the western harmonic system. It has also been shown
that this knowledge allows individuals to integrate the different
chords of a musical sequence into an overall structure that is divided
into several hierarchical levels.
Bibiliographical References
Bigand, Poulin,Tillmann, Madurell & DAdamo, (2003), Sensory versus cognitive components in harmonic priming, Journal of Experimental Psychology: Human Perception and Performance. 29, 159-171. demo
Tillmann, B & Bigand, E. (2001). Global context effects in normal and scrambled musical sequences, Journal of Experimental Psychology: Human Perception and Performance, 27, 1185-1196. Pdf
Bigand. E, Tillmann, B., Poulin, B., D'Adamo, D & Madurell, F. (2001). The effect of harmonic context on phoneme monitoring in vocal music, Cognition, 81, 11-20. Pdf ; demo
Regnault, P., Bigand, E. & Besson, M. (2001). Different brain mechanisms mediate sensitivity to sensory consonance and harmonic context : Evidence from auditory Event Related brain Potentials, Journal of Cognitive Neurosciences, 13, 1-17 Pdf
Bigand, E., & Parncutt, R. (1999). Perception of musical tension in long chord sequences. Psychological Research.62, 237-254. Pdf
Bigand, E., Madurell, F., Tillmann B., & Pineau, M. (1999). Effect of global structure and temporal organization on chord processing. Journal of Experimental Psychology: Human Perception and Performance. 25, 184-197. Pdf
Tillmann, B., Bigand, E., & Pineau, M. (1998). Effect of local and global contexts on harmonic expectancy, Music Perception,16,99-118.
Bigand, E., & Pineau*, M. (1997). Context Effects on Musical Expectancy. Perception and Psychophysics., 59, 1098-1107.
Pineau*, M., & Bigand, E. (1997). Influence du context global sur l'amorÁage harmonique. L'AnnÈe Psychologique, 97, 385-408.
Bigand, E., Parncutt, R., & Lerdahl, F. (1996). Perception of musical tension in short chord sequences: The influence of harmonic function, sensory dissonance, horizontal motion, and musical training. Perception & Psychophysics, 58, 125-141.
Bigand, E. (1993). L'organisation perceptive d'oeuvres musicales tonales. Paris: Maison des Sciences de l'Homme.
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