I've learned a few things:
- I now understand why the idler gear in my change gear set has 61 teeth; it hunts perfectly with the other gears that it engages with.
- There are gear pairs in my quick change gearbox that don't hunt much. In particular, the R and T settings select 1:2 or 1:2 ratio gear pairs, and the A setting has a 2:5 ratio.
- I'm currently using a 3D printed 11-tooth gear (from before I asked this) as I'm testing, and it has way more mechanical advantage than I need, so I'm likely to change ratio and not care about cutting an 11-tooth gear after all anyway. I do think that the procedure I outlined here would work to cut an 11-tooth gear with a #8 cutter, though!
Here are the change gears. Every option hunts perfectly if I did the math right.
Characterizing the G0709 quick change gearbox shows all the gear pairings, some of which don't hunt perfectly, and a few of which hunt very little.