presence of noise follows the Weber-Fechner law. This law usually applies to first-order
structures, such as length, weight, or pitch, and it holds that just-noticeable differences in a
signal vary in proportion to the strength of the signal. Symmetry, however, is a higher order
structure, and this theoretical note starts from the idea that, in noisy symmetry, the regularity-
to-noise ratio defines the strength of the signal to be considered. We argue that the …