Cecil, which timer at Lowes?
I went thru everything they had and did not see one rated for a motor load.
One thing unknown here, is your well pump a 2 wire or 3 wire?
You mentioned that there is no control box, so that would indicate a 2 wire pump.
The odd duck part of this is you mentioned on several occasions that the pump is 2-1/2 HP. I haven't been able to find one in current offerings. Maybe need to verify that on your end.
BTW: Your supply is probably close to 240 volts if it is modern. Definition of modern, depending on location and power company could be >30 years ago.
Most common would be 120/240/480 supply, so you could run the 115/230/460 volt stuff (which is standard) with allowable voltage drop thru your wiring and still keep your devices performing well. The 110/220/440 scheme is still around for supply, as with others, but not very common.
Europe is all going 3 phase. Build a new house, and they'll pipe in 3 phase. Quite a few household appliances and systems run off 3 phase.
We only do rich peoples houses with true 3 phase service. 60K estimate to run true 3 phase to my property from about 3/4 mile. Not gonna happen! I'll get a rebate if someone else taps into it, but that won't happen! Not up in red neck land! I can do the 2 transformer setup with simulated 3 phase from the lines on the poles for about 12K, but no point in that. They'll drop 240V at 400 amps for free! Hence, using VFD's for motor operation.
