Although I've advocated for letting the copper finish tarnish naturally, there's this recipe to try too! If anyone tries this please report back with your results!
Clean the copper piece with a mild dish detergent and rinse the soap off thoroughly. Remove soap, oils and film from the copper. Wipe and pat the copper item dry with a soft cloth.
Prepare a solution consisting of 1 qt. (1 liter) of water, 1 tbsp. (14 g) of salt, 1 tbsp. (14 g) of baking soda (sodium bicarbonate) and 1 oz. (30 ml) of household ammonia. Alternatively, use an acid solution as an alternative to ammonia. To prepare an acid solution, mix 1 qt. (1 liter) of water, 1 tbsp. (14 gm) of salt and 1 oz. (30 ml) of muriatic acid. Add the acid last.
Place your copper item outdoors or in an indoor area with good ventilation before treating it with the solution.
Pour the ammonia or acid solution into a spray bottle and spray the copper piece at least twice a day. The patina will begin to form quickly. To speed the copper oxidation, leave the item outside for the entire process, up to a few weeks depending on how much and what color patina you want.
Make a smoother patina by packing the copper in sawdust soaked in the solution and sealing it in a plastic bag for up to three days.