Hello,
I am trying to wire my old turntable thermostat (heat only, no fan) to a programmable one. But the wire isn't going so well. The ones coming out of the wall are as follows:

L1 (Black) - I have figured this is power
L2 (White) - I have figured this is power
T1 (Black) - I have figured this is heat
T2(White) - I have figured this is heat

I am trying to switch it over to a Hunter 44110. There wires are:
RH (24 Volt) - I have figured this is heat power
RC (24 Volt Cool) - I have figured this is cool power
F (Fan) - I don't have that
Y (air Conditioning) - I don't have that
W (heating)

What am I missing or do I need a different thermostat?

It appears you are trying to replace a line voltage thermostat with a 24 volt thermostat, (wrong thermostat) Line voltage means 115 or 230 volt, good luck, Mike

Awesome. I will look into getting a different one then. Thanks :)