Formula: Lp = 20 x log10(p / p0). Lp = level in dB, p = measured RMS pressure, p0 = 20 uPa reference, log10 = base-10 logarithm
+6 dB = DOUBLE the sound pressure; +3 dB = DOUBLE acoustic power; -3 dB = HALF power; +10 dB = roughly TWICE as loud to the ear (and 10x intensity)
Speed of sound in air = 343 m/s at 20 degrees C (about 1235 km/h)
Inverse-square law: every DOUBLING of distance from a point source loses 6 dB (1m to 2m = -6 dB)
0 dB = threshold of hearing; 120-130 dB = threshold of pain
WorkSafe AU limit: 85 dB(A) for 8 h max; every +3 dB HALVES safe time (88=4h, 91=2h, 94=1h); peak cap 140 dB(C)
Reference levels: conversation approx 60 dB; loud gig 100-110 dB; jet at 30 m approx 120 dB
Weightings: dB(A) mimics ear sensitivity (noise limits); dB(C) flatter (peaks/bass). Intensity is proportional to pressure squared, so 20log(pressure) = 10log(power)
How it works
Sound = air pressure wobbling above and below normal atmospheric pressure.
A mic or SPL meter measures the RMS size of those pressure wobbles in pascals.
That pressure is divided by the 20 uPa reference, then run through 20 x log10.
The log scale squashes a huge range (1 to 1,000,000x) into a readable 0-120 dB.
Set the meter to dB(A) slow for venue limits, dB(C) peak for transient/bass checks.
Read the number against the venue cap or the 85 dB 8-hour exposure rule.
Real examples
Quiet recording studio ambience: about 20-30 dB SPL.
Normal conversation at 1 m: about 60 dB SPL.
Busy bar / loud restaurant: about 85-90 dB SPL.
Front-of-house at a live gig: 100-110 dB SPL (where ear-damage timers start).
Standing about 25 m from a jet at takeoff: around 140 dB SPL, instant pain and damage.
How it helps in live sound
Carry a calibrated SPL meter (or a checked phone app) and log dB(A) Leq across the show, not just peaks.
Many WA venues cap around 100 dB(A) over 15 min; know the cap BEFORE doors open or you get shut down.
Use the 6 dB-per-doubling rule: measure at the mix position, not the front row.
Hand out earplugs and protect your own ears: 100 dB is safe for only 15 min before risk.
Watch dB(C) for sub/bass complaints from neighbours; low end carries furthest and trips noise limits.
Tune for +6 dB headroom before clipping, then you can push transients safely.
Everyday analogy
It is like measuring how hard the air shoves your eardrum, a gentle finger-tap versus a fist-punch, and the dB number tells you how hard the shove is.
Watch out
Myth: doubling the speakers (or the power) doubles loudness. Truth: doubling acoustic power is only +3 dB, and you need about +10 dB (ten times the power) to sound roughly twice as loud.
Fun fact
The 0 dB reference (20 uPa) moves your eardrum less than the width of a single hydrogen atom, yet a healthy ear still hears it.
Key takeaways
dB SPL is a log ratio against 20 uPa, not a plain loudness unit.
+6 dB = double pressure, +10 dB = double perceived loudness, +3 dB = double power.
Lose 6 dB every time you double the distance from the source.
85 dB(A) for 8 h is the limit; every +3 dB halves the safe time.
Use dB(A) for venue limits and ear safety, dB(C) for peaks and bass.