I did the electrognathography, and the doctor found problems in my left jaw and my left muscles, and my T is on the left, only there.
Also, before the initial period of my T, I chewed a looooooots of gum, every day, for at least 8-10 hours per day, on my left side of the mouth.
So after seeing that my auditory system have no problems with hearing, dizziness or anything else, the diagnosis have been TMJD. At the moment I am wearing by night a neuromuscolar splint.
So you should visit a gnathologist specialized in TMJ, after that you have excluded any neurological problem inside you inner ear.
Keep in mind that moving jaw or head can cause changing in your T; it is called Somatic T, and it is very common.