Budding Amethysts should make an alarming noise when you try to mine them

I think Budding Amethysts should make a different sound than Amethyst Blocks when mining them. Maybe a sound that indicates you're destroying something fragile, something you probably shouldn't touch. Maybe some screaching like when you rub a metal object over glass. 

I think that would be a good idea, because new players might break a lot of Budding Amethysts before they figure out that you can't pick them up, since the difference in texture is so subtle.