Actually - I don't know of any engine in which TIT (i.e. combustor exit) is measured. Thermocouples would be lucky to last more than a few minutes in that environment.
EGT by rights is the exit of the last turbine stage, which made sense in the days of a pure turbojet. It's not so logical in a multi-rotor high-bypass machine, IMHO.
I think inter-turbine temp (HPT exit, LPT inlet) is the most common compromise. But the fog factor is that it's commonly labeled "EGT" - even though it's several stages upstream of the core exhaust. Lockheed labeled this same parameter ITT, which makes good sense.