If a motor is labeled for 380V 50 Hz, it works fine for us here with 480V 60Hz, just 20% faster. The V/Hz ration is close enough. It you want to use a motor that wants 220V 50Hz here, when you give it 240V 60Hz it runs very hot because it's closer to saturation. But I've found that a lot of motor mfrs design smaller motors for 240V 50/60 Hz.
On machine tools where the motors are servos or steppers powered from drives or other DC conversion based systems, those usually are not frequency sensitive because they are just rectifying to DC anyway.
But we don't have any 380/220V distribution systems here.
