In the remaining three experiments, the authors abandoned the apparently unsuccessful strategy of having subjects listen to reductions themselves; instead, subjects were asked to compare melodies that may or may not share a common underlying structure and to make similarity judgments about these melodies. For these three experiments, the authors composed a number of "model" melodies (designated M1) and, for each model, three "comparison" melodies: a slight variation (M2) of the original model that shares with it an identical harmonic and contrapuntal structure, a "harmonic foil" (HF) whose contrapuntal structure is identical to those of M1 and M2 but with different surface harmonies, and a "contrapuntal foil" (CF) whose harmonies are identical to those of M1 and M2 but whose underlying contrapuntal structure is quite different. In the fourth experiment, subjects rated various pairs of melodies for similarity and found that M1/M2 pairs were most similar, and that pairs involving one of the models (M1 or M2) and HF were more similar than were pairs involving one of the models and CF, indicating that subjects could perceive contrapuntal-structural similarities even when musical surfaces were different. In a matching task, however, these same subjects, in cases where they chose one of the foils over M2 as a match for M1, were more likely to choose CF than to choose HF, indicating that they were less able to discriminate the structurally similar CFs from their models than the structurally different HFs. The fifth experiment replicated the rating task from the fourth experiment, except that subjects gave a similarity rating after each of five hearings for each pair. Again, HFs were rated as more similar to M1s than were CFs (and in fact as slightly more similar to M1s than were M2s!), and furthermore, these perceptions were strengthened after repeated hearings. In the sixth experiment, yet another modification of the similarity-rating task, subjects recieved a "rehearsal" or "learning" period between the hearings of the two melodies in each pair. Here there was no significant difference between their responses for M1/HF pairs and M1/CF pairs, indicating no particular ability to recognize structural similarity in the face of surface differences.
The equivocal results of these experiments with regard to the cognitive reality of heirarchic structure are further confounded by the authors' debatable operant definitions of "surface" and "structure." They take the harmonic implications of a melody to be an element of its musical surface, independent of the voice-leading implications of the melody, which represent its true "structure." That is, they assume that a melody can be altered such that its underlying harmonies are truly and significantly modified, yet its contrapuntal structure, even in the late foreground, is left untouched.
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