Just something I have noticed when playing on the Xbox One. When you start a party or are the last to leave (only one in the party) there is a high pitched feedback that comes through the game and only the game. After unplugging the Mic, the noise persists and when the game and remain in the party, the noise stops.
-
This is due to an odd interaction between kinect settings and destiny. Go to kinect settings on your console and make sure the chat mixer behavior is set to "do nothing". That should clear up the problem.