I don't have a recording option other then the xbox built in device and I haven't had it happen again.
Heres a link to another thread: http://www.bungie.net/en/Forum/Post/69370499/0/0
It's a really noticeable pitch. I know its destiny because I have switched to netflix and no such noise was there. I also had the same problem in the beta.
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I will check it out.