Loudness perception is logarithmic, which is why decibel scales fit hearing so well.

Evidence

In order to have a better, yet relatively simple, measure of the perceived level of sound, the concept of sound level is defined as a measure that is weighted with frequency so that the level roughly approximates the frequency sensitivity of hearing. Four different weighting curves are defined: A, B, C, and D, as shown in Figure 9.3. The A-weighted sound level is commonly used in noise measurements to characterize the perceived level and the risk of hearing loss. The A weighting slightly emphasizes the levels at mid frequencies and attenuates them at low and high frequencies. When the weighting curve is compared with the inverted equal-loudness curves, it is easy to see that the A weighting is just a very rough estimate. Technical simplicity and extensive use in practice are its advantages. — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 988 (#expands, via linked claim)

Intensity, while it has concrete bearing on what sound will do to the hearing apparatus, is not the same metric as perceived loudness, which doubles with every ten-decibel increase, so that going from 40 to 50 decibels equals a rise of 100 percent. — George Michelsen Foy, Zero Decibels, 53 (#corroborates, via linked claim)

Categorization

  • XREF: connects to: Logarithmic hearing means equal decibel steps need larger absolute pressure differences; Decibel increases map powers of ten to logarithms; Loudness perception is essentially logarithmic (+4 more)

Broader Connections