This rings true for me. Once I've understood a good piece of music and its mystery has enlightened me, I don't feel the need to listen to it again for a while.
There are implications to this that I have come to realize recently, yet some may not agree with here: that the value of music depends on the listener. I believe that when you engage with art it changes you, and as you change you will value the mysteries and truths you have yet to unlock, continuously moving you on towards perfect truth and God. Some (eg children, morons) may not be ready to access these higher levels of truth, and need to engage with lower music first.