I'm upgrading my system from a 60 Hz TV running at 1360x768 with a GTX 660 Ti to a 1080p 120 Hz TV with various inputs and a GTX 970. I have an abundance of HDMI cords but a budget for any other input. Will HDMI be able to output past 60 FPS (up to 120 or even 240)? I've read extremely conflicting posts on this site saying that it supports 60 FPS, which is given, but nothing that indicates it can surpass that. As this is a TV I'm using, HDMI would be ideal, however my PC does have external speakers attached and I don't mind sacraficing HDMI audio for a higher frame rate ceilling.