I examined several quite popular games to determine what perspective angle they are using. For the purpose I created a grid that is 45 and 60 degrees isometric viewed and put it onto a screenshot (of Diablo II in this case). None of these grids fit to the game's perspective. So I tried to find the angle that fits best to the perspective and it is close to 53.5 degrees. However, this number seems like coming from nowhere and I believe there is a strong logic behind the number that defines the perspective angle. I tried 9/16 * 90 degrees and 3/4 * 90 degrees (coming from ratios of screens resolution 16:9 and 4:3) but none of my assumptions seem to be correct. Here are screenshots of what I mean:
60 degrees 
45 degrees 
Something between the two - 53.5 degrees - quite near to the real number 
I really need to know what the real degrees are and where it derives from. Any help is quite appreciated! Thank you!
Answer
I believe your intuition was correct, just not your formula.
atan(4 / 3) = 53.1301024 degrees
This ratio can be useful because it forms a Pythagorean triangle, meaning that the length of the diagonal is an exact integer value.
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