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With the old fashioned film you are probably referring to, projectors are designed to flash each image twice or even three times, meaning that a 24fps movie has a flicker rate of 48 or 72 Hz[0].

The takeaway is that the perceptual frame rate for brightness is higher than the perceptual frame rate for motion.

[0] http://en.wikipedia.org/wiki/Movie_projector#Shutter



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