VR770 acts to level shift the output of the operational amplifier up by 7.5 volts because its +15 volt supply voltage does not allow it to drive emitter follower Q770 directly.
VR771 limits the output voltage but I do not know why that is necessary.
Thanks for that breakdown. I'm trying to learn as much as possible while implementing this, largely so that I don't end up with 'cargo cult' mentality where I just use pre-made circuits without understanding them. This circuit has been a good challenge since I have enough knowledge to grok the basics of how it works but there are enough 'new' things (like these zeners and the darlington setup) that I've got plenty to chew on. 
The way the schematic is laid out makes it more difficult to grasp. I would redraw it for analysis.
There are several ways to make that sort of level shift allowing a lower voltage amplifier to control a higher voltage load including using a constant current through a resistor. The advantage of using a fixed voltage like that is that no gain is added within the feedback loop which aids stability. If the level shifting element is bypassed with a capacitor, then it works even at high frequencies. Of course without gain, the maximum change in output voltage is limited to the output range of the operational amplifier.
VR771 might be there to prevent applying too high of a voltage to the fan. With it in place, the maximum voltage at the transistor emitter is about 15.4 volts. Without it, the operational amplifier output could potentially be pulled up to at least +15.6 volts under fault conditions making the emitter voltage 21 volts which might damage the fan.
D605 prevents the base-emitter junction from being reversed with current supplied by C772 if the operational amplifier output falls quickly. I am not sure this is really needed to protect the power transistor but it does not hurt.
Update: R778 also supplies some of the fan power and would also supply current through the reversed base-emitter junction when the operational amplifier output is low. Diode D605 blocks this.
I really like that notation in the schematic around input filter capacitors C602 and C603. It shows single point connections to the capacitors to prevent return current loops on the ground side and to preserve low ESR. The Tektronix PS503A power supply is constructed to do that also as shown below.