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Sturmey KS 3-speed[1]
  Number of gear teeth        
Gear Sun Gear 1 Pinion to Sun 1 Pinion to Ring 1 Ring gear 1 Path, 1=R to P, 2=Direct, 3=P to R Gear Drive Ratio Drive ratio as fraction Ratio incre- ment
1 15 30 15 60 1 0.889    8/9   
2 15 30 15 60 2 1.000 1        1.125
3 15 30 15 60 3 1.125 1   1/8  1.125

[1]
John Allen:
Tooth counts verified:
http://www.users.globalnet.co.uk/~hadland/1theory.pdf
http://www.users.globalnet.co.uk/~hadland/2tables.pdf