There are many neutral colors that would go well with purple curtains. However, it all depends on your sense of style and coordination. It is really a personal preference.
purple goes best
The best accent color for red and purple is blue!
Blue , I Think
red....... then it would make purple
purple or royal blue
golden yellow
Pink or Purple
purple
grape purple.
Purple of course! :P
A neon color, or purple
grey