I didn't get quite the results I was hoping for, probably due to inexperience and impatience. Oh, there's definite improvement (I can almost see my reflection!), but some places still show visible tarnish.
I got sufficiently annoyed by the the decrepit bathroom sink faucet to spring for a small can of Brasso. Even a small can feels like a lifetime supply, given how little brass I have. It's nasty stuff--looks like thai coconut curry, but it's made from petroleum (and smells it). Then it turns icky dark green upon application.