Tech/Cost/Benefits/Current Rate/0%/100%
Theology: 715 beakers, enables Theocracy, leads to Divine Right.
Music: 858 beakers, can contruct Cathedral, can build culture, leads to military tradition
Economics: 2002 beakers, enables Free Market, leads to Corporation
Chemistry: 2574 beakers, Workshop +1 hammer, can train Grenadier, Frigate, leads to Biology, Steel, Steam Power
Scientific Method: 3432 beakers, Obsoletes Monastry, reveals Oil, leads to Communism, Physics, Biology
Turns at 0% science (Music/Economics/Chemistry/Scientific Method): 2/2/4/5/8
Turns at current science rate (Music/Economics/Chemistry/Scientific Method): 1/1/2/3/4
Turns at 100% science (Music/Economics/Chemistry/Scientific Method): 1/1/2/2/3
Possible paths (this list does NOT include all possible paths, you're free to add your proposed tech path):
Music (858) - Military Tradition (2860): Can train Cavalry, can build West Point
Economics (2002) - Corporation (2288): Can construct Wall Street, +1 traderoute/city
Chemistry (2574) - Steam Power (4576): Can train Grenadier, Frigate, reveals Coal, +50% worker speed.
Techtree
Personally, I would like to do Chemistry - Steam Power as it will improve the speed at which our workers build improvements and it reveals coal, an important resource. I would like to let Steel and Railroad follow these two techs. That will allow us to build railroads and the Ironworks, improving our productive capacities even more.
Theology: 715 beakers, enables Theocracy, leads to Divine Right.
Music: 858 beakers, can contruct Cathedral, can build culture, leads to military tradition
Economics: 2002 beakers, enables Free Market, leads to Corporation
Chemistry: 2574 beakers, Workshop +1 hammer, can train Grenadier, Frigate, leads to Biology, Steel, Steam Power
Scientific Method: 3432 beakers, Obsoletes Monastry, reveals Oil, leads to Communism, Physics, Biology
Turns at 0% science (Music/Economics/Chemistry/Scientific Method): 2/2/4/5/8
Turns at current science rate (Music/Economics/Chemistry/Scientific Method): 1/1/2/3/4
Turns at 100% science (Music/Economics/Chemistry/Scientific Method): 1/1/2/2/3
Possible paths (this list does NOT include all possible paths, you're free to add your proposed tech path):
Music (858) - Military Tradition (2860): Can train Cavalry, can build West Point
Economics (2002) - Corporation (2288): Can construct Wall Street, +1 traderoute/city
Chemistry (2574) - Steam Power (4576): Can train Grenadier, Frigate, reveals Coal, +50% worker speed.
Techtree
Personally, I would like to do Chemistry - Steam Power as it will improve the speed at which our workers build improvements and it reveals coal, an important resource. I would like to let Steel and Railroad follow these two techs. That will allow us to build railroads and the Ironworks, improving our productive capacities even more.