Law of Asymptotic Linearity

2.1 Definition and Genesis

In this chapter, a new law is proposed that, to the best of my knowledge, has not yet been discussed as such in the literature. According to the law, all subjective magnitudes grow linearly with the intensities of the stimuli that evoke them near their thresholds of detectability. The relationship was first discovered during auditory measurements concerning Stevens’ Power Law and is described here initially for loudness, then generalized. When sufficiently small stimulus magnitudes were included, the resulting loudness curves deviated from the power law and, on double-logarithmic coordinates, bent downward, becoming gradually steeper. A typical example is shown in Fig. 2.1 where loudness magnitudes of a 1,000-Hz tone are plotted over sound-intensity abscissas expressed in dB ( Hellman and Zwislocki, 1963). The solid curve has been determined by the method of magnitude estimation based on two reference standards, as described in the preceding chapter ( Hellman...


Hearing Loss Firing Rate Magnitude Estimation Loudness Growth Sound Intensity 
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