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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Ive experienced the same problem... i thought it was something wrong with my headset, but as everyone has stated here, it only happens after snapping the party app. For my case, if i unplug my headset, the high pitch sound starts... but when i plug the headset back in, it goes away. Basically i have to play with the headset plugged in all the time.