How gear tooth counts were reverse-engineered
Up: Table of Contents Final results for this hub
SRAM I-Motion 9 calculations (incorrect based on later tooth counts, but interesting.
  Number of gear teeth Drive path Ratios  
Shifter Position Sun Gear 1 Pinion meshing with sun [1] Pinion meshing with ring Ring gear 1=R to P, 2=Direct, 3=P to R Drive ratio as fraction[2] Drive ratio from bro- chure Ratio incre- ment
1 36 13.03318 22 72 1  250/461 0.542 0.542  
2 30 15.00273 22 72 1  509/820 0.621 0.621 1.146
3 27 22 22 72 1    8/11 0.727 0.727 1.171
4 18 31.97674 22 72 1  250/293 0.853 0.853 1.173
5 18 31.97674 22 72 2 1        1.000 1.000 1.172
6 18 31.97674 22 72 3 1  43/250 1.172 1.172 1.172
7 27 22 22 72 3 1   3/8  1.375 1.375 1.173
8 30 15.00273 22 72 3 1 311/509 1.611 1.611 1.172
9 36 13.03318 22 72 3 1 211/250 1.844 1.844 1.145

[1]
John Allen:
Most numbers in this column are not exact integers because they are calculated from rounded gear ratios. Soo the page about reverse engineering for av full explanation.
[2]
John Allen:
Most of these numbers are incorrect -- calculated from rounded gear ratios.