@alankilian
I followed your suggestion and a lookup table to pick the initial potentiometer position and then fine tune the spindle RPM with a loop.
This worked well enough for some initial tests. But for me, it was no satisfying permanent solution.
After taking some voltage measurements, I figured that the motor controller simply needs a 0-5V Control Signal. 
So I used a PWM to analog converter to provide the control signal and to galvanically separate the inverter from the Duet Board.
I am using a multifix toolpost to quickly change between tools. In order to avoid manually calibrating a new tool, I wrote a macro that can automatically set the offsets for a given tool using a touch probe. Since the multifix toolpost is very repeatable, the offsets do not need to be recalibrated after a toolchange.
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I am very happy how this project turned out. The Duet3HC is a formidable controller for small CNC-Maschines.
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Video: Paulimot CNC-converion test.mp4
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Cheers
Max