A third type of panning function is Sine-Law Panning. As the name suggests, this type of panning is based on the sine function.


Similar to linear and square-law panning, an amplitude value for the left channel and right channel of a stereo signal can be calculated based on the sine-law panning functions. Then a mono signal can be converted to a stereo signal by multiplying by the amplitude value for each channel.



Just as before, the relationship between an amplitude, x, and a pan knob value, p, is: x = \frac{p}{200} + 0.5.


For Sine-Law panning, the amplitude of the right channel and left channel can be calculated:

rightAmp = \sin{(x \cdot \frac{\pi}{2})}

leftAmp =\sin{((1-x) \cdot \frac{\pi}{2})}

Sine-law panning is similar to square-law panning in that it maintains equal-combined power across both channels, but does not maintain equal-combined amplitude.


One interesting use of panning functions is the create the stereo auto-pan effect. This effect uses many of the same concepts of the mono tremolo effect.

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