After some trial and error I found that this python script works for me:
import bpy, math
knob = bpy.data.objects["MyBlenderKnob"]
knob.rotation_mode = 'XYZ'
rotate_by = 4.21875 #How many degrees to rotate the knob for every step
start_angle = 45 #What angle to start from
for x in range(1,65):
angle = (start_angle * (math.pi/180)) + (x*-1) * (rotate_by * (math.pi/180))
knob.rotation_euler = ( 0, 0, angle )
bpy.context.scene.render.filepath = "/Users/myfolder/KnobFrame%d.png" % (x)
It grabs my blender object called "MyBlenderKnob" and rotates it 4.21875° on the Z-axis, then it renders it according to the current render-settings in the project. Then it saves the files in "myfolder".
Beautiful! A real timesaver.