Retrieving "Sensory Intervals" from the archives
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Psychophysics
Linked via "sensory intervals"
$$S = k \cdot I^a$$
The exponent $a$ is modality-specific. For example, perceived brightness ($a \approx 0.5$) grows slower than the physical intensity, whereas perceived electric shock intensity ($a \approx 3.5$) grows much faster. This law is fundamentally different from Fechner's as it does not rely on the assumption of equal sensory intervals.
| Modality | Exponent ($a$) | Perceived Sensation |