Unfortunately, rather than tinnitus I have misophonia, and I can hear ice melting. No treatment or cure. But I would bet at least some cases of subjective tinnitus are actually people who have super hearing abilities.
Coincidentally, the peak notch in the OP was the 1st subharmonic of that.
I used to play in a symphony orchestra as a professional and I suspect that studying my whole life to listen to a pin drop has led me into this place.