When you are using an xbox one party to chat and use your kinect to chat you get a loud ringing sound. I have linked a video to demonstrate the sound.
To recreate this it only happens when you are in a party on xbox live, while you are in-game in destiny, and are using the kinect to chat. Others may not have this issue but 2 out of the 4 people in my xbox live party on the xbox one have been able to recreate this issue
-
Just as a headsup, we're in testing on a fix for this issue. Anyone seeing this in the meantime might use the workaround Anidien posted- http://www.reddit.com/r/xboxone/comments/2btgg7/destiny_sound_glitch/ Stay tuned to the patch notes to see when the update on this drops!