I set my belts on the mill to the lowest speed and then over speed the motor as and when required.
That way I had low speed with torque for power tapping.
I do the exact opposite David.
The best VFD Rated motors can only be run at double the max speed but 1/1000 of the minimum speed at full torque.
Just below that are the 10 and 20:1 motors that can typically be run at 50% higher speeds (90 Hz) and 1/10 or 1/20th lower speeds (6 & 3Hz).
My mill motor is a full 1000:1 motor. So I set my belts to reach the half rated speed at 60Hz and then use the VFD to go to full speed or as low as I want to go. There is plenty of torque for tapping.
My new lathe motor just arrived. It is a 10:1 motor. (6 Hz to 90Hz).
I plan to install it as a straight replacement and only use the speed controls to go slower than my current minimum or to increase speed on the fly as cutting diameter goes down when I'm parting. My lathe is an oil bath gear head so speed changes are as easy as moving two levers. But it's minimum of 70 rpm is too high for my liking. The VFD will give me 7rpm if I should ever want/need it. My goal of 40 to 50 is easy peasy.
As I mentioned in my earlier post, another really nice advantage of a VFD is the ability to reduce the rate of acceleration to avoid stressing the machine.
And last but not least, and not yet mentioned, is the silky smoothness of a motor running in sensorless vector control mode. That has to be seen, heard, and felt to be believed.