I had it wrong, Wikipedia says it is a heart condition that causes it:
"Venus Hum is an electronic pop music group from Nashville, Tennessee, consisting of vocalist Annette Strean and multi-instrumentalists Kip Kubin and Tony Miracle. Miracle has a rare heart condition which results in perpetually hearing his own heartbeat in his ears. This condition is known as "venous hum", from which the group's name is derived."
I think listening and/or playing music would be an effective way to handle that.