http://www.stain-removal-101.com/cream-of-tartar-uses.htmlThe following is about cartridge brass, but carb brass might respond the same.
There are many ways of cleaning cartridge cases; my personal preference is to use liquids. Several commercial cleaners are available, however I prefer to use the following. There are variations on the theme but is can be done quite cheaply. After cases are lubricated and run through the sizing die, rinse the cases in industrial thinners or acetone and then rinse at least twice in fresh water.
If cases are dirty, soak them in a solution of white vinegar and detergent (2 tablespoons of detergent to 1/2 litre of vinegar) overnight. Some make the solution hot and others add a teaspoon of common salt. Rinse again before the next phase.
To get some shine back on the cases soak them in a solution of fresh water and Cream of Tartar (1 tablespoon to 1/2 litre of water) for about four hours. Rinse at least twice in clean water and allow to air dry. Neither step is an every time item; just make sure that they are clean. It is important to note that there is a difference between clean and shiny brass.
If you want to shine your brass, another alternative is to tumble the cases using walnut shells as a polishing medium: a cheap and simple method.