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Exact drive ratios of bicycle hub gears | ||||||||||||

Brand | Speeds | Model[1] | Shifter position | |||||||||

-4 | -3 | -2 | -1 | (near) unity | +1 | +2 | +3 | +4 | ||||

Ratio | ||||||||||||

Bendix | 2-speeds | Red Band, Yellow Band | |
15/22 | 1 | |||||||

Blue Band | |
1 | 1 7/15 | |||||||||

3-speeds | (See Sachs, SRAM) | |
47/64 | 1 | 1 17/47 | |||||||

Rohloff | Speedhub, 14-speed | Each value in this row is the one directly below it, times the third-stage ratio of 221/541. | 3315[2] | 5304[3] | 34255[4] | 221/541 | 38896[5] | 6851[6] | 4862[7] | |||

11902[8] | 16771[9] | 95216[10] | 83855[11] | 12984[12] | 8115[13] | |||||||

For these ratios, the third stage is locked at unity. | 15/22 | 24/31 | 155/176 | 1 | 1 21/155 | 1 7/24 | 1 7/15 | |||||

Sachs, SRAM | 2-speeds | Doppel-torpedo | 16/21 | 1 | ||||||||

Automatic, Duomatic, Automatix | 1 | 1 17/47 | ||||||||||

Orbit | 48/65 | 1 | ||||||||||

3-speeds | 25,29 | 3/5 | 3/4 | 1 | ||||||||

Universal Dreigang | 4/5 | 1 | 1 1/4 | |||||||||

53 | 3/4 | 1 | 1 1/3 | |||||||||

55 | 3/4 | 1 | 1 1/3 | |||||||||

All 3-speeds 1970-, 3 x 7, DualDrive | 47/64 | 1 | 1 17/47 | |||||||||

4-speed | Universal Torpedo | 3/5 | 3/4 | 1 | 1 1/3 | |||||||

5-speeds | Sachs H 5100, 5113, 5120, 5213 | |
2/3 | 7/9 | 1 | 1 2/7 | 1 1/2 | |||||

SRAM P5 5-speeds | |
19/30 | 57/73 | 1 | 1 16/57 | 1 11/19 | ||||||

7-speeds | Sachs Torpedo H 7203, -13, -20 | |
273/460 | 21/31 | 75/92 | 1 | 1 17/75 | 1 10/21 | 1 187/273 | |||

Sachs Super 7, SRAM S7, MH7205, -15, -25 | 252/439 | 21/31 | 72/89 | 1 | 1 17/72 | 1 10/21 | 1 187/252 | |||||

8-speeds | SRAM G8 | 14/23 | 49/69 | 224/279 | 28/31 | 1 5/93 | 1 19/93 | 1 11/31 | 1 18/31 | |||

9-speed | SRAM G9 | 112/207 | 14/23 | 49/69 | 224/279 | 28/31 | 1 5/93 | 1 19/93 | 1 11/31 | 1 18/31 | ||

SRAM I-Motion 9 | 161/297 | 4376 | 8/11 | 99/116 | 1 | 1 17/99 | 1 3/8 | 1 2763 | 1 136/161 | |||

7049 | 4376 | |||||||||||

12-speed | Sachs Elan/SRAM E12 | Speeds 1 | 203/291 | 10987[14] | 1 | 1 229307[15] | 1 996111[16] | 1 2121[17] | ||||

through 6 | 12901[18] | 2993032[19] | 2993032[20] | 4408[21] | ||||||||

Speeds 7 | 1 98467[22] | 1 287389[23] | 1 505/551 | 1 156265[24] | 2 1286741[25] | 2 3203[26] | ||||||

through 12 | 160341[27] | 374129[28] | 2565456[29] | 5986064[30] | 8816[31] | |||||||

Shimano | 3-speeds | 333, SG-3S21, G-3S23, F, G, 3SC, 3CC | 3/4 | 1 | 1 1/3 | |||||||

Nexus Inter 3 pushrod-shifting | 11/15 | 1 | 1 4/11 | |||||||||

Nexus SG-3R75, pulley shifting | 12/19 | 20/27 | 1 | |||||||||

4-speed | Nexus Inter 4 | 1 | 1 19/78 | 1 1/2 | 1 285/338 | |||||||

5-speeds | Nexus Inter 5 | ? | ? | ? | ? | ? | ||||||

7-speeds | Nexus 7-speed | 12/19 | 20/27 | 3348[32] | 620/627[33] | 1 43/297 | 1 70/209 | 1 6/11 | ||||

3971[34] | ||||||||||||

8-speeds | Nexus, Alfine 8-speed | 49/93 [35] | 22589[36] | 8134[37] | 343/403[38] | 1 | 1 84/377 | 1 49/117 | 1 8/13 | |||

35061[39] | 10881[40] | |||||||||||

11-speed | Alfine 11-speed | 49/93 | 49/72 | 931/1209 | 245/279 | 931/936 | 1 29/216 | Ratios on the first line are 49/93 times the ones below them. | ||||

1 7/24 | 1 6/13 | 1 2/3 | 1 277/312 | 2 11/72 | ||||||||

Sturmey-Archer (Also licensees and copies: Brampton, Hercules, NK, Schwinn-Approved, Sears, Styre, SunTour for the AW, BSA for the X.) | 2-speeds | S2 (1966) | 5/7 | 1 | ||||||||

S2, S2C, B2C (2010) | ? | ? | ||||||||||

T,TB,TBC,TBF,TBFC,TF | |
3/4 | 1 | |||||||||

TC close-ratio fixed | |
45/52 | 1 | |||||||||

3-speeds | Original 1902 | |
4/5 | 1 | 1 1/4 | …… | ||||||

A, C, F, FN, FX, N, S, V, X, BSA | |
16/21 | 1 | 1 5/16 | ||||||||

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 | 3/4 | 1 | 1 1/3 | |||||||||

AC | |
12/13 | 1 | 1 1/15 | ||||||||

ASC fixed | |
3/4 | 9/10 | 1 | ||||||||

AM, AM Tandem | |
45/52 | 1 | 1 7/45 | ||||||||

AR | |
69/74 | 1 | 1 5/69 | ||||||||

Brompton special BRW | |
30/47 | 1 | 1 17/30 | ||||||||

KS | |
8/9 | 1 | 1 1/8 | ||||||||

KSW | |
6/7 | 1 | 1 1/6 | ||||||||

S3X | |
5/8 | 3/4 | 1 | ||||||||

SW | |
13/18 | 1 | 1 5/13 | ||||||||

4-speeds | FB, FG, FW | |
2/3 | 15/19 | 1 | 1 4/15 | ||||||

AF, FC | |
3/4 | 9/10 | 1 | 1 1/11 | |||||||

FM | |
2/3 | 6/7 | 1 | 1 1/8 | |||||||

5-speeds | AB5, AT5, S5, S5/1, S5/2, S5C, 5-Speed Alloy, 5 Star, Sprinter 5, XRD5, XRF5 | |
2/3 | 15/19 | 1 | 1 4/15 | 1 1/2 | |||||

S50(W), S5C(W), S5S(W), S-RC5(W), S-RF5(W), XL-RD5(W), X-RC5(W), X-RD5(W), X-RF5(W) | 5/8 | 3/4 | 1 | 1 1/3 | 1 3/5 | |||||||

7-speeds | AT7, S7, S7C, X-RD7, Sprinter 7[41] | |
3/5 | 20/29 | 115/143 | 1 | 1 28/115 | 1 9/20 | 1 2/3 | |||

8-speeds | X-RD8, X-RF8, X-RK8, X-RR8[42] | This hub only gears up. | Gears 1 through 4: | 1 | 1 9/32 | 1 9/20 | 1 47/73 | |||||

Gears 5 through 8: | 1 549/640 | 2 31/292 | 2 28/73 | 3 63/1168 | ||||||||

S80(W), X-RD8(W), X-RF8(W), X-RK8(W)[43] | This hub only gears up. | Gears 1 through 4: | 1 | 1 91/300 | 1 13/27 | 1 21/31 | ||||||

Gears 5 through 8: | 1 377/405 | 2 433[44] | 2 406/837 | 3 2999[45] | ||||||||

2325[46] | 12555[47] | |||||||||||

[1]

John Allen:

Lines in pink: need verification. Lines in blue: insufficient information or no information.

Lines in pink: need verification. Lines in blue: insufficient information or no information.

[2]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[3]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[4]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[5]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[6]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[7]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[8]

John Allen:

Denominator entered as an integer.

Denominator entered as an integer.

[9]

John Allen:

Denominator entered as an integer.

Denominator entered as an integer.

[10]

John Allen:

Denominator entered as an integer.

Denominator entered as an integer.

[11]

John Allen:

Denominator entered as an integer.

Denominator entered as an integer.

[12]

John Allen:

Denominator entered as an integer.

Denominator entered as an integer.

[13]

John Allen:

Denominator entered as an integer.

Denominator entered as an integer.

[14]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[15]

John Allen:

Numerator entered as text

Numerator entered as text

[16]

John Allen:

Numerator entered as text

Numerator entered as text

[17]

John Allen:

Numerator entered as text

Numerator entered as text

[18]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[19]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[20]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[21]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[22]

John Allen:

Numerator entered as text

Numerator entered as text

[23]

John Allen:

Numerator entered as text

Numerator entered as text

[24]

John Allen:

Numerator entered as text

Numerator entered as text

[25]

John Allen:

Numerator entered as text

Numerator entered as text

[26]

John Allen:

Numerator entered as text

Numerator entered as text

[27]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[28]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[29]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[30]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[31]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[32]

John Allen:

Numerator entered as an integer

Numerator entered as an integer

[33]

John Allen:

Ratio is achieved by gearing down, then up.

Ratio is achieved by gearing down, then up.

[34]

John Allen:

Denominator entered as an integer

Denominator entered as an integer

[35]

John Allen:

This ratio is that of the fifth speed, times the first-stage ratio of 49/93.

This ratio is that of the fifth speed, times the first-stage ratio of 49/93.

[36]

John Allen:

Numerator entered as an integer. Ratio is that of the 6th speed times the first-stage ratio of 49/93.

Numerator entered as an integer. Ratio is that of the 6th speed times the first-stage ratio of 49/93.

[37]

John Allen:

Numerator entered as an integer. Ratio is that of the 7th speed, times the first-stage ratio of 49/93.

Numerator entered as an integer. Ratio is that of the 7th speed, times the first-stage ratio of 49/93.

[38]

John Allen:

Ratio is that of the 8th speed times the first-stage ratio of 49/93.

Ratio is that of the 8th speed times the first-stage ratio of 49/93.

[39]

John Allen:

Denominator entered as an integer. Ratio is that of the 6th speed times the first-stage ratio of 49/93.

Denominator entered as an integer. Ratio is that of the 6th speed times the first-stage ratio of 49/93.

[40]

John Allen:

Denominator entered as an integer. Ratio is that of the 7th speed times the first-stage ratio of 49/93.

Denominator entered as an integer. Ratio is that of the 7th speed times the first-stage ratio of 49/93.

[41]

John Allen:

Ratios are almost certainly correct, reverse engineered.

Ratios are almost certainly correct, reverse engineered.

[42]

John Allen:

Ratios are derived from tooth counts in Sturmey-Archer technical information.

Ratios are derived from tooth counts in Sturmey-Archer technical information.

[43]

John Allen: Ratios
are from tooth counts by David Moorhouse

[44]

John Allen: integer
and numerator entered as text.

[45]

John Allen: integer
and numerator entered as text.

[46]

John Allen: Denominator
entered as text: not enough room

[47]

John Allen: Denominator
entered as text: Excel will not calculate denominaors with more than three
digits