C.C.
Maybe she will grow up to be an opera singer.
One of my kids screamed like that. It was a noise that was so high and loud that the dogs next door would go absolutely nuts when she did it - howling, barking... ugh. My grandmother (who raised 7 children, most of them quite loud) said that I should just LEAVE whenever she started making that noise. So I did. Happy shrieking? I'd walk out of the room as quickly as possible. Tantrum? Put the kid in her room and close the door.
This did two things. One, it saved my hearing. Two, it deprived the little tyrant of her intended audience. Toddlers LOVE an audience. If you take the audience away, they tend to stop with the behavior. It may take a while. Shrieking is kind of something that goes with this age, unfortunately. :( Hang in there.