Nice music and art!
Maybe it's something on my end, but I have reached level 7 and still haven't seen any white dice. Even so, I think the mechanic of white dice probably needs some work. Since dice don't go away from hand, player is forced to use wrong white dice, which only hurt his damage, or this dice get stuck in their hand.
Despite that the gameplay was enjoyable, although I would suggest rerolling the dice in hand at the end of turn so that player doesn't end up with a bunch of 1s.
Good job!