This game reminds me of Dig To China! It has such relaxing music, a different style of play unlocking many different kinds of abilities. I didn't get to find out if you naturally slide down the level if you get a few extra ores or things where you don't have to unlock them first (like with the amethyst) but it seems that is not what happens.
It's apparently on the App Store (as it keeps advertising) but I have played it on PC just fine and the controls don't have to be adjusted to it either.
I did like this game and it is pretty addictive!