I still wonder if the circuitry was analog or digital, though. That could have been an analog "computer".
If you are asking how the thread pitch motor controller was working I have no in depth knowledge but it would likely be an analog envelope detector. (simple RC filter/integrator would suffice) That would be rectified to make a DC control voltage and the control voltage would be used to modulate the power to the motor in an inverse fashion. ( more audio signal -> less power )
No digits would be harmed in the process. :)
I know I know. It's so hard to believe you can manipulate signals without a processor. ;-)