Loudness grows as a power law of physical intensity so relative changes match

Evidence

Stevens’ law says that a sensation belonging to the category of intensity sensations grows with physical intensity according to a power law. In consequence of that law, we have to assume that a relative change in loudness is proportional to a relative change in intensity. Specific loudness is developed using this power law. Instead of using the total loudness as the value in question, specific loudness is used. Additionally, instead of intensity, excitation has to be used. — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 1262

Categorization

• DEFINE: States Stevens’ power law and how the model substitutes excitation for intensity and specific for total loudness.
• XREF: Connects to psychophysics foundations (Fechner/Stevens scaling) familiar from sensation and perception material. — connects to: Doubling perceived loudness requires a 10 dB increase. — Toole, Floyd E, Sound reproduction- the acoustics and…, 889; Loudness grows faster at low levels than Stevens’ power law predicts — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 727; Loudness perception requires a tenfold intensity increase to double — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 652 (+11 more)
• corroborated: 3 independent passages support this claim — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 1262

Broader Connections

• A tenfold intensity increase is perceived as only twice as loud #expands (0.90) — Eric J. Heller, Why You Hear What You Hear- An…, 143
• Loudness perception requires a tenfold intensity increase to double #expands (0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 652
• Perceived loudness and physical sound intensity follow different, non-intuitive mathematical scales #corroborates (0.85) — George Michelsen Foy, Zero Decibels, 53
• Loudness perception is essentially logarithmic #responds-to (0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 611
• Loudness grows faster at low levels than Stevens’ power law predicts #qualifies (0.80) — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 727
• Human hearing perceives huge physical sound intensity changes as barely different #corroborates (0.80) — George Michelsen Foy, Zero Decibels, 97
• Loudness depends on frequency, angle, duration, and envelope, not just level #qualifies (0.75) — Toole, Floyd E, Sound reproduction- the acoustics and…, 903