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
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When your in the party just load up another game you have on your hard drive and just close and load destiny back up it should stop it worked for me