Chimes while receiving a message on the phone - Nokia 925

So, when I'm on the phone, I get these three chimes when I receive a message, followed by my normal text tone. Often, it's a long, broken-up message and it gets VERY annoying, VERY quick - especially if my mom or girlfriend is blowing up the message thread. Has anyone else crossed this and/or know how to stop it?

Let me know if I can make the situation more clear - thanks!

Which version of Windows Phone OS are you running?

I have the same thing, annoying as hell...

I'm the OP - posted as a guest for whatever reason.

I'm using 8.1 - also, my screen just decided it didnt want to work anymore. Shows up as a static field, like old TV sets when they had no reception

Bumping to see if anyone else runs across this