In reply to GridNorth:
I've read that too but in the few places I've seen it stated they never gave an explanation, just stated that you shouldn't use an overhand but a double fisherman's instead.
I've thought about this before with a few friends and the best I could come up with was that the thicker rope might not bend enough to grab the thinner one which could then slip out of the knot. This is just my thought, no way of backing it up or any kind of scientific thought behind it really.
Also the guys I was talking about it with were very experienced and knowledgeable climbers and they'd never heard of it and had tied a 9.1mm rope to a 10mm or 10.5mm (I forget which) for an abseil before with nothing bad happening. Not that that's particularly proof that it's fine to do.
Personally I'd use a double fisherman's for joining those two.