It's actually simple, yet difficult to explain.
A rotated mintmark is just that - two punchings, one completely on top of the other, rotated somewhat in one direction or the other.
A tilted mintmark is one that was punched into the die out of plumb with the face of the die, then a corrective punch to deepen the part that wasn't punched in as deeply. The result is two intermingled mintmarks, neither of which is really the primary (completely on top). You have half of one mintmark on top, and half of the other mintmark on top.
MOST of the split-serif mintmarks are described as tilted because there is no real direction of spread (N, S, E, W, etc.), and there isn't a definitive "one on top of the other" structure...so they are described as 'tilted'.
This is a perfect example of a tilted repunched mintmark:

Note that you cannot call either mintmark the primary mintmark because there's no telling which was punched first.
This is a rotated repunched mintmark:

Not in this case that the one rotated to the left is clearly underneath the one rotated to the right. This is a CCW (counterclockwise) rotated repunched mintmark.
Hope this helps.