2005 mustang gt vibration between 2-3k rpm

I've been getting a vibration/shutter while accelerating. It’s directly related to RPMs. Only happens between 2 and 3k. The vibration is more pronounced when turning right. Torque related, more pronounced in 1st, 2nd and 3rd, but It’s felt in all gears, except 5th. I do get a slight vibration when cruising at 70, in 5th, RPMs at 2100.