  Agarwal introduced $n$-color compositions in 2000 and most subsequent
research has focused on restricting which parts are allowed. Here we focus
instead on restricting allowed colors. After three general results, giving
recurrence formulas for the cases of given allowed colors, given prohibited
colors, and colors satisfying modular conditions, we consider several more
specific conditions, establishing direct formulas and connections to other
combinatorial objects. Proofs are combinatorial, mostly using the notion of
spotted tilings introduced by the first named author in 2012.
