Mark
I’d say use what you have. Change the motor if need be after gathering experience. Whatever VFD you buy won’t care how many poles the motor has.
Recommendations for 6 pole motors are much more slanted towards lathe users where relatively large diameters have to be handled and inevitably run at lower speeds. So keeping the torque up at lower speeds is very desirable.
Milling cutters re relatively small diameter. I doubt if any of us use anything much over 25 mm / 1 inch so low end torque isn’t really an issue. Fly-cutters can be large but we rarely work them hard.
Back in the day I had a one off, market testing, Chester Lux style square column bench mill having two speed belt drive from a 2800 rpm motor under VFD control. As I recall matters the useful speed range was from around 180 rpm to 2800 rpm. Primarily governed by the pulley sizes which gave considerable overlap between the two belt settings.
Torque at high speed will not be an issue. High speed means small cutters and small cuts so the motor won’t be working very hard.
Not sure where Newton Tesla get their 60-70 hz maximum from. From what I’ve seen modern higher end motors with specifications for VFD use tend to give around 90 hz as the maximum drive frequency for constant torque operation. Higher speeds are quite practical but the torque falls off for complicated electrical reasons. The ultimate limitation on safe RPM will be the mechanical strength of the rotating parts of the motor. Considering the spinning bits are largely of the same design whatever nominal speed the motor has I guess things are probably theoretically mechanically safe to at 5,000 or so rpm assuming a quality 2,800 rpm motor running at 90 hz. How happy the bearings will be is a whole n’other matter. Especially for an economy range motor.
To a first order approximation the most basic form of VFD operates as a voltage / frequency device. Below the motors nominal speed the motor voltage is reduced so torque and hence power falls off as it runs slower. Above its nominal speed the motor voltage remains constant so torque remains constant and power rises. Internal electrical losses, which vary with frequency, and the magic of modern vector drive VFD boxes make things much more complex in the real world. But for folk like us who rarely get anywhere near needing the rated power of a motor the crude approximation will do. Compressors are about the only things we need to think properly about.
Clive