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Shimano 8-speed[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 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[2] Total drive ratio as fraction Ratio incre- ment
1 48 14 22 84 1 0.527    49/93   36 29 14 78 2 1.000 1           0.527    49/93    
2 48 14 22 84 1 0.527    49/93   36 29 14 78 3 1.223 1   84/377  0.644 22589/35061 1.223
3 48 14 22 84 1 0.527    49/93   42 18 14 78 3 1.419 1   49/117  0.748  8134/10881 1.160
4 48 14 22 84 1 0.527    49/93   48 14 14 78 3 1.615 1    8/13   0.851   343/403  1.139
5 48 14 22 84 2 1.000 1           36 29 14 78 2 1.000 1           1.000 1           1.175
6 48 14 22 84 2 1.000 1           36 29 14 78 3 1.223 1   84/377  1.223 1   84/377  1.223
7 48 14 22 84 2 1.000 1           42 18 14 78 3 1.419 1   49/117  1.419 1   49/117  1.160
8 48 14 22 84 2 1.000 1           48 14 14 78 3 1.615 1    8/13   1.615 1    8/13   1.139
8134 10881
[1]
John Allen:
I counted teeth of a Nexus Rad Band hub.
Information about the operation of this hub is at http://bike.shimano.com/publish/content/global_cycle/en/us/index/tech_support/tech_tips.download.-Par50lparsys-0020-downloadFile.html/13)%20Structure%20and%20Function%208%20Speed.pdf
[2]
John Allen:
This is the product of the ratios of the two stages.