It's difficult to comment without a photo.
When you tune your drum and shorten consecutive verticals, you pull more on the side where the diamonds are than on the side where you haven't flipped any verticals yet. This causes the rings to precess around the drum, with the lowest point being near the diamond you flipped last. Once you have completed a row, the rings end up being level again.
Some people try to minimize the precession by flipping every second or third pair of verticals initially and, once the row is complete, undo the weave again and flip adjacent verticals. I used to do this, but no longer bother. It's more effort than it is worth, and it adds a lot of wear to the rope, shortening its life.
Another reason for what you are seeing could be rings that are too large. With that, it can happen that you pull the crown ring off to one side when you are tuning and then gradually, the crown ring slips over the flesh ring, eventually ending up below the flesh ring on one side. If this is what's happening, you will need to have the rings re-welded to the correct size eventually.
Basically, as long as the drum sounds good and you are happy with it, just keep playing and tuning. If things go wrong eventually, you can still fix them then. In the mean time, don't worry too much. At this point, it's not possibly to fix anything without replacing the skin, so there is nothing you can do anyway, and you might as well stop worrying