My 2 cents: see how the top and bottom edges are different? I think that would rule out something freestanding, like a bracelet or napkin ring, they would have edges of the same thickness. I think Outdoorfunblonde is on the right track with a vase, or bottle decoration/protection. If this was on the very bottom of a bottle, carafe, cruet, vase, etc. the thicker edge would make sense, help prevent breaking.