Perhaps, then, the translation should be "on Tuesdays" as without context it sounds more like a future appointment. It seems, though, that "on Tuesday" alternates with "on Tuesdays" or simply "Tuesdays" all with the same meaning given the right context.

I take it this means "You play every Tuesday"; can it also mean "You are scheduled to play this coming Tuesday," as an English speaker might understand the translation?