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Sturmey-Archer AF[1]
  Number of gear teeth         Number of gear teeth            
Gear Sun Gear 1 Pinion to Sun 1 Pinion to Ring 1 Ring gear 1 1=R to P, P to S 2=Direct, 3=P to R   Gear Drive Ratio Stage 1 drive ratio as fraction Gear drive ratio modified Sun Gear  2 Pinion to Sun 2 Pinion to Ring 2 Ring gear 2 Path: 1=R to P, 2=Direct, 3=P to R Gear Drive Ratio Stage 2 drive ratio as fraction Total Drive Ratio Total drive ratio as fraction Ratio incre- ment
1 30 14 14 60 1 0.667    2/3    20 20 20 60 1 0.750    3/4  0.750    3/4   
2 30 14 14 60 1 0.667    2/3  0.222[2] 20 20 20 60 1 0.750    3/4  0.900[3]    9/10 1.200
3 30 14 14 60 1 0.667    2/3    20 20 20 60 2 1.000 1        1.000 1        1.111
[1]
John Allen:
Tooth counts verified:
http://www.users.globalnet.co.uk/~hadland/1theory.pdf
http://www.users.globalnet.co.uk/~hadland/2tables.pdf
[2]
John Allen:
This is the increase in the rate of rotation of the stage 2 gear ring due to the rotation of the stage 2 sun gear. It is the first-stage gear ratio, multiplied by the ratio of the second stage sun gear to the second-stage ring gear and accounting for the reversal of direction due to the second-stage planet gears.
[3]
John Allen:
This is the final gear ratio after the second stage, reflecting the rotation of its sun gear by the first stage.