Steve Morse Y2D keeping Floyd in tune?

My Y2D (2nd hand, bought from a friend who bought it new) doesn’t keep in tune very well. Once it’s tuned, it’s ok for the time being played – even a whole gig. However, if it stays on it’s hanger or stand for a day or two, the tuning is quite wonky. Is there something that can be done about that? I keep it in a humidity-controlled room, and my Fender Strats and Gibsons all stay very stable…

Other than that, it’s an amazing guitar 😀

Cheers
Es