After searching the forums for "Enmancipation" and only finding threads where I had written myself (some from ages past) I finally realize I have been misspelling it all this time.
It's Emancipation, not ENmancipation. "Good to know!"
I just assume I work all cottages non-stop fo the next 60 turns.
I have 3 cottages in my empire, that reaches hamlet status in 2, 2 and 5 turns. For simplicity I just count these as fresh hamlets.
So, the hamlets in my empire have the following turns to reach village:
20, 20, 20, 18, 16, 16, 15, 15, 15, 13, 11, 8, 6, 6, 4, 3, 3, 2, 2,1
20 in total, with an average I round down to 10, turns to village.
Assuming printing press, a village yields 2 more commerce than a hamlet.
If a hamlet takes 10 turns to reach village w/o emancipation it takes 5 turns with. And this means we gain these 2 commerce 5 turns sooner with emancipation.
With my 20 hamlets that has an average of 10 turns left to get to village, emancipation will earn me 20*5*2= 200commerce over the next 20 turns (I think the yield will be about bell-curved distributed)
(The statistics says I have 23 villages but I have really scoured the map several times and it's only 21.
They have the following turns to town:
40, 39, 35, 35, 34, 33, 31, 27, 24, 23, 23, 16, 16, 13, 10, 10, 9, 7, 6, 4, 1.
Average 20.76 which I round down to 20 turns to town.
Now... village to town is much more tricky, as universial suffrage and possibly free speach complicate things. But assuming no free speach and counting the universial suffrage hammer as a commerce, a town yields 2c more than a village.
Emancipation reduces the time it takes for my average village to get to town from 20 to 10 turns, gaining me 10 turns of extra town-yield per village.
So... 21 villages, 2 extra yield, and 10 turns. 21*10*2 = 420 commerce (really i'ts 210 commerce and 210 hammers)
This over the next 40 turns.
If I choose to go free speach too, this would be 610 commerce and 210 hammers.
But my 20 hamlets that have turned villages will also become towns...
They get to towns in 40 turns w/o emancipation and 20 turns with, so I gain 20 turns of extra town-yield from them.
20*2*20= 800 (400 hammers, 400 commerce).
(Assuming free speach as well, 1200 commerce, 400 hammers.
SO, in total, from T155 to T215, emancipation/US would yield 200+420+800= 1620 commerce.
Assuming free speach on top of that, yield would be 1220 extra to a total of 2840commerce.
(Or, 47 commerce per turn).
So... nothing extraordinary, but not nothing either.
What could complicate things abit, is that if I go with emancipation, all hamlets now will be villages in 10 turns, which then will be towns in another 20 turns.
So after just 30 turns of emancipation, I have a fully towned empire.