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The Auditory Scene  223

               but it holds true often enough that it is worth pointing it out as a separate
               principle. It is not identical to the principle of belongingness. The latter merely
               states that the line has to be seen as a property of a figure, but does not prevent
               it from being allocated to more than one at a time.
                 There is a certain ecological validity of the principle of exclusive allocation
               in vision. The term ‘‘ecological validity’’ means that it tends to give the right
               answers about how the visual image has probably originated in the external
               world. In the case of edges separating objects, there is a very low likelihood
               (except in jigsaw puzzles) that the touching edges of two objects will have the
               same shape exactly. Therefore the shape of the contour that separates our view
               of two objects probably tells us about the shape of only one of them—the
               nearer one. The decision as to which object the contour belongs to is deter-
               mined by a number of cues that help the viewer to judge which object is closer.
                 Dividing evidence between distinct perceptual entities (visual objects or au-
               ditory streams) is useful because there really are distinct physical objects and
               events in the world that we humans inhabit. Therefore the evidence that is
               obtained by our senses really ought to be untangled and assigned to one or
               another of them.
                 Our initial example came from vision, but the arguments in audition are
               similar. For example, it is very unlikely that a sound will terminate at exactly
               the moment that another begins. Therefore when the spectral composition of
               the incoming sensory data changes suddenly, the auditory system can conclude
               that only one sound in a mixture has gone on or off. This conclusion can give
               rise to a search in the second sound for a continuation of the first one.
                 The strategy completes itself in the following way. Let us give the name A to
               the segment of sound that occurs prior to the change, and call the second part
               B. If spectral components are found in B that match the spectrum of A, they are
               considered to be the continuing parts of A. Accordingly, they can be subtracted
               out of B. This allows us a picture of the second sound free from the influence of
               the first. This is called the ‘‘old-plus-new heuristic,’’ and it is shown to be one of
               our most powerful tools in solving the scene analysis problem in audition. Here
               I want to point out that it is an example of the principle of exclusive allocation
               in which the allocation of the continuing spectral components to the first sound
               interferes with their being allocated to the second.
                 Another case of exclusive allocation is shown in an experiment by Bregman
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               and Rudnicky, using the pattern of pure tones shown in figure 9.7. In this fig-
               ure the horizontal dimension represents time and the vertical one shows the
               frequency of the tones. The listener’s task was to decide on the order of two
               target tones, A and B, embedded in the sequence. Were they in the order high-
               low or low-high? When A and B were presented alone, as an isolated pair of
               tones, this decision was very easy. However, when the two tones labeled F (for
               ‘‘flankers’’) were added to the pattern, the order of A and B became very hard
               to hear. Apparently when they were absorbed as the middle elements of a larger
               pattern, FABF, the orders AB and BA lost their uniqueness.
                 This experiment was about the perceptual allocation of the F tones. As long
               as they were allocated to the same auditory stream as A and B, the order of A
               and B was hard to hear. However, Bregman and Rudnicky reasoned that if
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