I need some help cleaning up my turtles shell. His old aquarium had some black algae growing on the corners of the tank and his basking rock, so I think that's the black gunk on his shell. I've since upgraded my tank and filter, so I hoped he would clean up a little from just the water quality, but it still looks like this. He's never shed a scute since I've had him (about a year) and I've tried a lot of things like blueberries and wheat germ pellets but they just wont come off! He basks just fine, and when he's completely dried off they look like they're gonna do their thing, but it never happens.
I recently bought some soft toothbrushes and gave him a little scrub with just water, but nothing really seemed to happen. I've heard that some kind of vinegar helps, but I don't know what kind and if it would work in this situation. So, what should I do to encourage those scutes to come off and clean up his shell a little? Also, are those little jagged ends of his shell ok?


