Just in the past few months I have started to experience what you describe. I have moderate hearing loss and wear hearing aids. I also have had tinnitus for years, particularly in my left ear. It used to be limited to a high-pitched screeching sound, sometimes softer and sometimes louder. In the past few months I have started to have repetitive musical patterns superimposed over the normal screech. Sometimes it is a snippet of a song I have recently heard, but sometimes just a repeating pattern of pitches and rhythms. It does not seem as immediately “present” as the screech, more a background sound or awareness. It can be very annoying if I pay attention to it. I would be very interested to know if others have experienced this as well.