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Drive ratio increments and total range of bicycle hub gears
Brand Speeds Model[1] Total range Shifter position
-4 to-3 -3 to -2 -2 to -1 -1 to 0 0 to +1 +1 to +2 +2 to +3 +3 to +4
Increment
Bendix 2-speeds Red Band, Yellow Band 1.467     > 1.467        
Blue Band 1.467       > 1.467      
3-speeds (See Sachs, SRAM)         1.362 1.362      
Rohloff Speedhub, 14-speed This row gives the increments to the 2nd-7th speed.from the next lower one. 5.266 > 1.135 1.138 1.135 1.135 1.138 1.135  
This row gives the increments to the 8th-14th speed from the next lower one. 1.138 1.135 1.138 1.135 1.135 1.138 1.135  
Sachs, SRAM 2-speeds Doppel-torpedo 1.313     > 1.313        
Automatic, Duomatic 1.362       > 1.362      
Orbit 1.354[2]     > 1.354        
3-speeds 25,29 1.667   > 1.250 1.333        
Universal Dreigang 1.563     > 1.250 1.250      
53 1.778     > 1.333 1.333      
55 1.778     > 1.333 1.333      
All 3-speeds 1970-, DualDrive 1.854[3]     > 1.362 1.362      
4-speed Universal Torpedo 2.222   > 1.250 1.333 1.333      
5-speeds Sachs H 5100, 5113, 5120, 5213 2.250   > 1.167 1.286 1.286 1.167    
SRAM P5 5-speeds 2.493   > 1.233 1.281 1.281 1.233    
7-speeds Sachs Torpedo H 7203, -13, -20 2.839 > 1.141 1.203 1.227 1.227 1.203 1.141  
Sachs Super 7, SRAM Spectro S7 3.035 > 1.180 1.194 1.236 1.236 1.194 1.180  
9-speed SRAM I-Motion 9[4] 3.408 1.146 1.172 1.173 1.172 1.172 1.173 1.172 1.146[5]
12-speed Sachs Elan 12-speed 3.45 1 to 6: > 1.23 1.18 1.18 1.13 1.12  
  7 to 12: 1.08 1.09 1.10 1.08 1.07 1.07  
Shimano 3-speeds 333, SG-3S21, G-3S23, F, G, 3SC, 3CC 1.778       1.333 1.333 0.000    
Nexus Inter 3 1.860     > 1.364 1.364      
4-speed Nexus Inter 4 1.843       > 1.244 1.206 1.229  
7-speeds Nexus 7-speed 2.447 > 1.173 1.138 1.173 1.158 1.166 1.158  
8-speeds Nexus, Alfine 8-speed 3.066 1.223 1.160 1.139 1.175 1.223 1.160 1.139  
Sturmey-Archer (Also licensees and copies: Brampton, Hercules, NK, Schwinn-Approved, Sears, Styre, SunTour for the AW, BSA for the X.) 2-speeds S2 1.400     > 1.400        
  T,TB,TBC,TBF,TBFC,TF 1.333     > 1.333        
  TC close-ratio fixed/freewheel 1.156     > 1.156        
3-speeds Original 1902 1.563     > 1.250 1.250      
  A, C, F, FN, FX, N, S, V, X, BSA 1.723     > 1.313 1.313      
  AB, AB3, AG, AT, AT3, AW, AW3, AWC, C30, K, KB, KC, KT, KTC, QS-RC3, RD-RB3, RS-RF3, RS-RR3, RX-RD3, S30, S3B, S3C, SAB3, SBR, S-RB3, S-RC3, S-RF3, SX-RB3, SX-RK3, TCW, TS-RC3, TS-RF3, XL-RD3, X-RD3 1.778     > 1.333 1.333      
  AC 1.156     > 1.083 1.067      
  AF, ASC fixed 1.333   > 1.200 1.111        
  AM, AM Tandem 1.335     > 1.156 1.156      
  AR 1.150     > 1.072 1.072      
  KS 1.266     > 1.125 1.125      
  KSW 1.361     > 1.167 1.167      
  S3X 1.600   > 1.200 1.333        
  SW 1.917     > 1.385 1.385      
4-speeds FB, FG, FW 1.900   > 1.184 1.267 1.267      
  FC 1.455   > 1.200 1.111 1.091      
  FM 1.688   > 1.286 1.167 1.125      
5-speeds AB5, AT5, S5, S5/1, S5/2, S5C, 5-Speed Alloy, 5 Star, Sprinter 5, XRD5, XRF5  2.250   > 1.184 1.267 1.267 1.184    
S50(W), S5C(W), S5S(W), S-RC5(W), S-RF5(W), XL-RD5(W), X-RC5(W), X-RD5(W), X-RF5(W) 2.560   > 1.200 1.333 1.333 1.200    
7-speeds AT7, S7, S7C, Sprinter 7, X-RD7[6] 2.778 > 1.149 1.166 1.243 1.243 1.166 1.149  
8-speeds X-RD8, X-RF8, X-RK8, X-RR8[7] 3.054 Hub only gears up. Gears 1 through 4: > 1.281 1.132 1.134  
Gears 5 through 8: 1.130 1.134 1.132 1.281  
S80(W), X-RD8(W), X-RF8(W), X-RK8(W) 3.25 Hub only gears up. Gears 1 through 4: >[8] 1.30 1.14 1.14  
Gears 5 through 8: 1.14 1.15 1.14 1.30  
[1]
John Allen:
Lines in pink: need verification. Lines in blue: insufficient information or no information.
[2]
John Allen:
This does not include the range of the attached multi-sprocket cluster
[3]
John Allen:
This does not include the range of the attached multi-sprocket cluster
[4]
John Allen:
Reverse-engineered.
[5]
John Allen:
SRAM literature indicates that this increment is different from the one between the lowest two ratios -- inconsistent with the design of the hub.
[6]
John Allen:
Ratios are almost certainly correct, reverse engineered.
[7]
John Allen:
Ratios are derived from tooth counts in Sturmey-Archer technical information.
[8]
John Allen:
Manufacturer only gives ratios to two decimal places; this is unity ratio.