Ludic

ludic \ˈlü-dik\ adjective: of, relating to, or characterized by play; playful {ludic behavior, a ludic novel}

Etymology: French ludique, from Latin ludus game, play, sport (from ludere to play, mock, tease)

Ludic does not refer to ludes. (Or, um, does it?) Ludic is not related to lewd. (Or, um, is it?)