Decibel Addition Calculator
Calculate the combined dB level of multiple sound sources. Includes perceived loudness change and hearing safety assessment.
About this calculator
Decibels are logarithmic, so you can never just add two dB readings together — two 80 dB sources side by side produce roughly 83 dB, not 160. This calculator does the correct physics: it converts each source back to linear sound intensity with 10^(L/10), sums those linear values (and a third source if enabled), then converts the total back to decibels with 10·log10(sum). That method assumes the sources are incoherent — independent, unrelated noises like two separate speakers or machines — which is the overwhelmingly common real-world case; it would understate the result for two perfectly in-phase copies of the identical signal, which combine differently. The "Increase from Loudest" figure shows how much the quieter source(s) actually add on top of the dominant one — often surprisingly little, since a second source more than 10 dB quieter barely moves the total.
Perceived loudness change applies the rough psychoacoustic rule that every 10 dB increase sounds about twice as loud to human hearing, expressed here as a percentage. Finally, the calculator maps your combined level against OSHA-style hearing-safety exposure limits and gives a familiar real-world reference sound (from "near silence" to "jet engine") so the raw number has context. Use it to plan whether combining a PA system with ambient crowd noise, or a shop full of running tools, crosses into hearing-protection territory — not as an exact acoustic prediction, since real rooms add reflections and distance losses this simple point-source model doesn't capture.
Inputs
Results
Combined Level
83 dB
How to Use This Calculator
- Enter Sound Source 1, Sound Source 2, and Add Third Source.
- Set Sound Source 3.
- Review the Combined Level (dB) result.
- Use Increase from Loudest (dB) and Perceived Loudness Change to inform your decision.
How the result changes with Sound Source 1
| Sound Source 1 | Combined Level |
|---|---|
| 40 | 80 dB |
| 60 | 80 dB |
| 120 | 120 dB |
| 150 | 150 dB |
What each input means
- Sound Source 1
- Decibel level of the first sound source.
- Sound Source 2
- Decibel level of the second sound source.
- Add Third Source
- Enable to add a third sound source to the calculation.
- Sound Source 3
- Decibel level of the optional third sound source.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersSound Source 1 = 80, Sound Source 2 = 80, Add Third Source = 0, Sound Source 3 = 75 = 4 input(s) provided
- Calculate Combined LevelCombined Level83 = 83
- Calculate Increase from LoudestIncrease from Loudest3 = 3
- Calculate Perceived Loudness ChangePerceived Loudness Change = `${perceivedPercent23% louder = 23% louder
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why don't two 80 dB sources combine to 160 dB?
Decibels are a logarithmic scale, not a linear one, so they can't be added directly. The calculator converts each dB reading back to linear sound intensity with 10^(L/10), sums the linear values, then converts the total back to decibels with 10·log10(sum) — for two equal 80 dB sources that works out to about 83 dB, not 160.
Why is the 'Increase from Loudest' figure often so small?
It's the combined level minus the single loudest source's level, and logarithmic addition means a quieter source has to get close to the dominant one before it contributes meaningfully. A second source more than about 10 dB below the loudest adds well under 1 dB to the total, which is why background noise often barely moves the combined reading.
Does this calculator assume the sound sources are related or independent?
It assumes incoherent sources — independent, unrelated noises like two separate speakers, machines, or crowd sounds, which is the overwhelmingly common real-world case. It would understate the result for two perfectly in-phase copies of the identical signal, since coherent sources combine by a different rule than the power-summing method used here.
How is the Safety Assessment and Max Safe Exposure determined?
Both are looked up directly from the Combined Level against OSHA-style hearing-safety thresholds: levels under 70 dB are rated safe with unlimited exposure, 85-90 dB drops the safe window to 2-4 hours, and above 100 dB the safe exposure time falls to 15 minutes or less. These are the same general exposure bands used in occupational hearing-conservation guidance, not a precise medical dosage calculation.
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