You already know this. You know how motors operate on VFDs. Below base speed the motor and drive is in the 'constant torque regime'. The VFD has sufficient voltage capability to maintain proper V/Hz ratio, so that the design magnetic flux density is maintained, and the motor operates at design torque per amp. Since the current is limited by motor heating and VFD current rating, if you maintain design V/Hz ratio the torque is limited to a roughly constant value. (Note: I;m ignoring things like short term overload capacity of the inverter or thermal overload capacity of the motor. The point is that at proper V/Hz ratio at a given fixed current value you have an approximate fixed torque value even as frequency and speed changes.)
The key in the above is VFD operation below base speed, which you already know about. You described it thusly:
https://forums.mikeholt.com/threads/400v-50hz-operate-on-480v-60-hz.2572875/post-2818035
A vfd operate 50Hz motor 400 v constant HP mode base speed above
Torque reduce
Overload not it
But the question is: 'What defines base speed?' Hint: it isn't the number printed on the motor nameplate.
'Base speed' is set by the frequency at which the inverter is capable of supplying sufficient voltage to maintain proper V/Hz ratio. Commonly this happens to be the number on the nameplate because the inverter is connected to the same line voltage that the motor is designed for. But if you do something to enable the inverter to operate at a different voltage, then the 'base speed' will be different.
A common trick is to take a NEMA dual voltage motor, wire it in the 230V configuration, and then use it with a 460V VFD. In this case the 'base frequency' becomes about 120 Hz, and such a motor probably cannot be used all the way up to its new 'base speed' because of mechanical limits. On the other side of the coin, a 460V motor can be connected to a 230V VFD if you make the 'base frequency' 30Hz.
In the present case, a 400V 50Hz motor used on a VFD connected to a 480V supply would have a new 60Hz 'base frequency'.
Jon