Anyone recognize this 5 speed trans

OD could be between .62 and maybe .78,
so 4.11s, could cruise at between 2.55 to 3.21.
With 27 inch tires this translates to 65= between 2600 and 2065rpm.
best I can do

The Nash/Richmonds 5 speeds have 1:1 5th gear. They have deeper 1-4 gears.

The OP seems to be looking at a Nash/Richmond 5 or 6 speed.

So you run 2.71 to 3.23 rear gears but acts like much deeper gear.

The notes on that Nash owners manual I posted are not mine. But you see where the previous owner wrote: 3.23 = 4.29 and 2.71 = 3.59

I haven’t double checks the calcs...but you can get an idea.