Loudness
![Lindos1.svg.png][float-right]Loudness is the subjective attribute of auditory sensation by which sounds are perceived to differ in strength, distinct from the objective physical measure of sound pressure level.[1][2] It arises from the nonlinear response of the human auditory system to acoustic stimuli, incorporating factors such as signal intensity, frequency spectrum, duration, and temporal patterning.[3] Empirical quantification of loudness relies on psychophysical scaling methods, yielding units like the phon, defined as the loudness matching a 1 kHz pure tone at a specified sound pressure level in decibels, and the sone, a perceptually linear unit where 1 sone corresponds to 40 phons and each subsequent doubling of sones doubles the perceived loudness.[4][5] Frequency dependence is captured by equal-loudness contours, standardized in ISO 226, which map sound pressure levels across frequencies for tones perceived as equally loud by otologically normal listeners under free-field conditions.[6] These contours, originally derived from extensive listener judgments, reveal heightened sensitivity in mid-frequencies (around 2–5 kHz) and reduced sensitivity at extremes, informing applications in audio engineering, noise assessment, and hearing protection.[7] While loudness models enable computational prediction for complex sounds, variations in individual hearing thresholds and contextual effects underscore its inherently perceptual nature.[3]