Question: What do you get when you combine interleaved flicker for mixing colors with horizontal scrolling? See attachment! (scrolling left every 2nd, right every 3rd frame)
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Note that scrolling LED signs are generally scanned bottom to top, and will appear to slant slightly to the right while scrolling right to left. On those, there are seven flashes per scan (one per scan line), so each appears offset by 1/7 motion increment compared to the one before.
This sort of artifacting appears somewhat in Ruby Runner; I regard it as annoying but not exceptionally objectionable. There, however, I either make small motions or else make large motions sufficiently slowly that the eye does not track them.
I would suggest that it might be best to, if the game mechanic allows, use Thrust-style scrolling at 60fps. That would avoid motion artifacts.