Doubling loudness needs ten times the violinists

Evidence

Subjective measures such as loudness, being human impressions, cannot be made truly quantitative, but there is a rule of thumb that seems to work: for a sound to be perceived as twice as loud as before, the intensity of the sound must be increased tenfold. — Eric J. Heller, Why You Hear What You Hear- An…, 143 (#corroborates, via linked claim)

The results typically lie close to a straight line whose gradient is a doubling in loudness for 10 dB(SPL) variation from around 40 dB(SPL)—a result that is somewhat surprising, perhaps, since a doubling in intensity is a +3 dB change and a doubling in pressure is a +6 dB change. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 652 (#corroborates, via linked claim)

Categorization

• XREF: connects to: Doubling perceived loudness requires a 10 dB increase. — Toole, Floyd E, Sound reproduction- the acoustics and…, 889; Each 10 dB of level requires ten times the amplifier power; Loudness perception requires a tenfold intensity increase to double — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 652 (+3 more)

Broader Connections

• Loudness perception requires a tenfold intensity increase to double #corroborates (0.95) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 652
• A tenfold intensity increase is perceived as only twice as loud #corroborates (0.95) — Eric J. Heller, Why You Hear What You Hear- An…, 143
• Perceived loudness doubles with every 10 dB increase, not every 3 dB of intensity. #corroborates (0.95)
• A 10 dB increase always doubles perceived loudness above 40 dB #qualifies (0.80) — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 720