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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I'm not sure if this works, but I came across this earlier this week http://www.reddit.com/r/xboxone/comments/2btgg7/destiny_sound_glitch/ Essentially it's a mixer setting for the kinect.