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Your basket narrows towards the base, and the back of the bail sticks out quite a lot. I think those two factors, and not the chain, are what's making it twist. I'd try to be sure that the back of the bail didn't stick out further than the basket: I'd bet that's the issue.
That said, GORGEOUS pendant! I absolutely adore pears. That one has a wonderful shape, and it looks ENORMOUS on you. Do you know what the stats are, by any chance? Pure curiousity ....