A half hour? I've been trying on an off all morning! I have been going clockwise each time.
I tried jiggling it a little to the right and left when it was really really close, but that doesn't do anything. When I got one ever so close, I would go counter clockwise once and then clockwise once to see if it would bring it back into position and move it just that tiny smidgen that I needed. No go.
If you will click on the blue question mark, and look at the pictorial hint, you'll see that when it's in the correct position, the wooden pattern underneath will have that one single "curlicue" on the left side at the 9 o'clock position.
If you get really, really close, but not quite there, it takes 5 rotations to get it back to anywhere near that same point. And to get it back to that ever so close point, takes 120 rotations. Yes, I counted. This is getting to the point where it's not fun. I must be well over 700 rotations by now.