AudioCalcs
Pan Law Calculator — Channel Level from Pan Position
Calculate channel levels for different pan law settings (-3dB, -4.5dB, -6dB).
How We Calculate This
-3 dB (Equal Power)
Left = cos(pan × π/2), Right = sin(pan × π/2)
Where pan is normalised 0 (left) to 1 (right). At centre (0.5), both channels are at cos(45°) = 0.707 = -3 dB.
-6 dB (Linear)
Left = 1 - pan, Right = pan
At centre, both channels are at 0.5 = -6 dB.
Mono Fold Level
Mono fold = 20 × log10((L + R) / 2)
When a stereo pair is summed to mono the two channel voltages add. We reference the result to the averaged stereo pair (the /2 term), so a hard-panned signal reads -6 dB relative to its single channel and a centre-panned signal reads the law's centre figure. The DIFFERENTIAL is what matters: with the -3 dB law a centre signal folds +3 dB louder than a hard-panned one, whereas with the -6 dB law centre and edges fold to the same level — the classic mono-compatibility advantage of linear panning.
Stereo Width Factor
The stereo width factor scales the side signal (L-R difference). 1.0 = unchanged, 0 = mono, 2.0 = doubled width. The effective left/right levels show the result after width adjustment.
The custom pan law dB reference field is display-only — it is echoed in the breakdown so you can record your DAW's setting, but it does not change the calculated curve. The pan law selector above controls the curve used in the calculation.
Frequently Asked Questions
Pan law determines how the volume is adjusted when a signal is panned from centre to one side. Without compensation, a centre-panned signal sums to +3 dB louder than a hard-panned signal. Pan law attenuates the centre position to compensate, maintaining consistent perceived loudness across the stereo field.
-3 dB (equal power) is the most common and works well for most mixing situations. -4.5 dB is a compromise that some engineers prefer. -6 dB (linear) works best for signals that will be summed to mono. Most DAWs default to -3 dB.
Equal power (-3 dB) uses sine/cosine curves to maintain constant power across the pan range — it sounds most natural for most material. Linear (-6 dB) uses straight-line attenuation and maintains constant voltage sum — better for mono compatibility but can sound slightly louder at the extremes.
With -3 dB pan law, summing stereo to mono can cause centre-panned content to increase by up to +3 dB. With -6 dB pan law, centre content stays the same level when summed to mono. The -4.5 dB compromise splits the difference.
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Last updated: February 2026
All calculations are estimates based on standard formulas. Always verify results for critical applications.