Articulation scores require logarithmic modification to attain additivity

Evidence

The solution, for graphing and for our senses, is to use logarithms. Gustav Theodor Fechner (1801-1887) was a contemporary of Helmholtz, and like him a physicist, physiologist, and philosopher. After a series of innovative experiments, he concluded in 1860 that our sensation of a stimulus is proportional to the logarithm of the strength of the stimulus, and not proportional to the strength itself. Fechner’s famous law governing the sensation S is where R is the stimulus. — Eric J. Heller, Why You Hear What You Hear- An…, 1997 (#expands, via linked claim)

Categorization

• XREF: connects to: Sensation grows with the logarithm of stimulus strength rather than the strength itself — Eric J. Heller, Why You Hear What You Hear- An…, 1997

Related

• Sensation grows with the logarithm of stimulus strength rather than the strength itself (similarity 0.89)
• Fechner made perception measurable by tying it mathematically to physical stimuli (similarity 0.84)

Broader Connections

• Sensation grows with the logarithm of stimulus strength rather than the strength itself #expands (0.85) — Eric J. Heller, Why You Hear What You Hear- An…, 1997