Bike Gear Ratio Calculator

Gear ratio, gear inches, development and speed for every chainring and cog. Current Shimano, SRAM and Campagnolo groupsets built in.

By Jonas Lindemann · Updated · How we build our calculators

Your gearing

Shimano 105 R7100 · 50/34 · 11-34 (12s)

Easiest gear

34 × 34

26.8 in

1.00 · 2.14 m

7.2 mph at 90 rpm

Hardest gear

50 × 11

121.7 in

4.55 · 9.71 m

32.6 mph at 90 rpm

455%
24 · 19 usable
14%34×24 → 34×21
39T

Climbing: at 200 W and 187 lb, your easiest gear keeps 70 rpm up to 8.9%. For 10% you'd want ≈ 24.0 in. Climbing check ↓

: 34×11, 34×12, 50×30, 50×34

: 50×19 ≈ 34×13 (0.6%), 50×21 ≈ 34×14 (2.0%)

Chainrings
Cassette · 12 cogs

Type a number to change it, × or Delete to remove it, + to add the next size.

mm

90 rpm

Units

Crank length, chainstay, chain angle
Chain length for this setup

Climbing check

Is your easiest gear easy enough? Set the gradient, your weight and the power you can hold.

%
lb
W
rpm

Borderline. On 10% you ride 63 rpm in the easiest gear, a little under your 70 rpm.

Climbing speed 5.0 mph in 34 × 34. Your easiest gear keeps 70 rpm up to 8.9%.

To hold your cadence here, the easiest gear should be ≈ 24.0 in, e.g. 34 × 40 or 30 × 34.

Cadence in the easiest gear at 200 W, 187 lb. Target 70 rpm.
GradientCadence (rpm)Speed (mph)
4%13310.6
6%987.8
8%776.1
10%635.0
12%534.2
15%433.4

Steady climb, no wind. Rolling resistance 0.004, CdA 0.35 m², air density 1.2 kg/m³, drivetrain 97.5% efficient.

Speed and cadence

Cadence for a speed

mph

Cadence for 25.0 mph in 50 × 11:

69 rpm

Gear for a speed

mph
rpm

Closest gears for 20.0 mph at 90 rpm:

  • 34 × 1318.7 mph
  • 50 × 1918.9 mph
  • 50 × 1721.1 mph

Gear chart

Gear inches (in)3040506070809010011050T13%11%13%14%11%12%13%7%8%8%9%34302724211917151413121134T13%11%13%14%11%12%13%7%8%8%9%343027242119171514131211

Each dot is one gear, labelled with the cog. The % under the line is the step to the next harder gear. Swipe sideways to see the whole chart.

  • Cross-chained
  • Near-duplicate of a gear on the other ring
  • Closest gears to your target speed

Suggested shifting sequence

Easiest to hardest with one front shift, without cross-chained or duplicate gears. 16 gears, average step 11%.

  1. 34×34
  2. +13%34×30
  3. +11%34×27
  4. +13%34×24
  5. +14%34×21
  6. +11%34×19
  7. +12%34×17
  8. +13%34×15
  9. +7%34×14
  10. Shift to the 50T and 3 cogs bigger at the back (+8%)50×19
  11. +12%50×17
  12. +13%50×15
  13. +7%50×14
  14. +8%50×13
  15. +8%50×12
  16. +9%50×11

Gear table

Gear inches (in)
Cog34T50T
11T82.7121.7
12T75.8111.5
13T≈70.0103.0
14T≈65.095.6
15T60.789.2
17T53.578.7
19T47.9≈70.4
21T43.3≈63.7
24T37.955.8
27T33.749.6
30T30.344.6
34T26.839.4

Cross-chainedNear-duplicate of a gear on the other ring

About the Bike Gear Ratio Calculator

Learn more about the calculator and its creator

Jonas

Jonas

I'm a software developer and bike enthusiast from Germany with over 10 years of cycling experience. I created this gear ratio calculator to help cyclists find the perfect gear ratio for their bike.

How to read your results

Every gear is one chainring paired with one cog. The calculator shows five ways to describe the same gear. They all grow in step with the gear ratio, so pick the one you think in. The worked example is a 50-tooth chainring and an 11-tooth cog on a 700x28c tyre (28-622, 2,136 mm rollout), with 172.5 mm cranks at 90 rpm.

MetricFormula50×11 on 700x28c
Gear ratiochainring ÷ cog4.55 (the wheel turns 4.55 times per crank turn)
Gear inchesratio × wheel diameter in inches121.7 in
Development (rollout)ratio × wheel circumference9.71 m (382 in) per crank turn
Speeddevelopment × cadence52.4 km/h (32.6 mph) at 90 rpm
Gain ratioratio × wheel radius ÷ crank length9.0

Gear inches are the diameter of a penny-farthing wheel that would feel the same. They are the standard unit in the US and in Sheldon Brown's tables. Development is the same idea in metres travelled, which is how most European riders compare gears. Gain ratio, Sheldon Brown's measure, also counts the crank: the bike moves 9 times as far as your pedal does. Longer cranks lower it, so it is the fairest way to compare bikes with different crank lengths.

Typical gearing by discipline

Presets from the calculator, on 700x28c unless noted.

SetupEasiest gearHardest gearRange
105, 50/34 × 11-3426.8 in121.7 in455%
Ultegra, 52/36 × 11-3032.1 in126.5 in394%
Force AXS, 48/35 × 10-3328.4 in128.5 in453%
GRX 2x, 48/31 × 11-36, 40c23.7 in120.3 in507%
Rival XPLR, 40 × 10-44, 40c25.1 in110.3 in440%
Eagle MTB, 32 × 10-52, 29x2.418.0 in93.7 in520%
Fixed gear, 48 × 17, 25c74.5 in–

As a rule of thumb, gears under 30 gear inches (about 2.4 m) get a loaded or unfit rider up 10% grades, 65–85 inches is everyday cruising, and anything over 110 inches is for descents and sprints. Urban fixed-gear riders usually pick 65–75 inches, track riders 85–95.

1x or 2x?

A 1x drivetrain gives up gears, not range. The Rival XPLR setup above has 12 gears over 440%, so the average step between gears is about 14.5%. The GRX double covers 507% with 20 usable gears and 9% steps. On a 1x you feel every shift, and on the flat you often sit between two gears. A 2x keeps cadence steady but needs a front shift and has near-duplicate gears: on 50/34 × 11-34, the 34×13 and 50×19 differ by less than 1%. The calculator marks such pairs with a dashed ring.

Cross-chaining

On a double, the big ring with the biggest cogs and the small ring with the smallest cogs run the chain at a steep angle. That is noisier, wears the chain and cogs faster and loses a little efficiency. The calculator works out the angle from the chainstay length and cog spacing. It flags gears over 2.7° on a double, for example 50×30, 50×34, 34×11 and 34×12 on a 12-speed compact. On a triple it flags the three most crossed cogs on the small and big ring. A 1x chainline is centred on the cassette, so no gear is flagged there.

Why tyre size matters

Wheel size changes every number except the ratio. Tyres are listed by their ETRTO size, for example 28-622 (28 mm wide on a 622 mm rim). The outside circumference is about π × (rim diameter + 2 × tyre width): 2,105 mm for a 700x25c and 2,200 mm for a 700x40c. So the same 50×11 rolls 4.5% further on the gravel tyre. If you know your measured rollout, type it into the circumference field.

Frequently Asked Questions

What is the gear ratio of a 50x11?

A 50-tooth chainring with an 11-tooth cog has a gear ratio of 50 ÷ 11 = 4.55: the rear wheel turns 4.55 times for every turn of the cranks. On a 700x28c tyre that is 121.7 gear inches and 9.71 m of development, or 52.4 km/h (32.6 mph) at 90 rpm. It is the hardest gear on most compact road bikes.

How do you calculate gear inches?

Gear inches = chainring teeth ÷ cog teeth × wheel diameter in inches, where the diameter includes the tyre. A 700x28c wheel is about 26.8 inches across, so 50×11 gives 4.55 × 26.8 = 121.7 gear inches and 34×34 gives 26.8. Older charts use a nominal 27-inch wheel, which gives 122.7 for 50×11.

What does 50/34 or 48/35 mean on a bike?

The two numbers are the teeth on the two chainrings. 50/34 is a Shimano compact chainset and 48/35 a common SRAM AXS road chainset. The big ring is for speed, the small ring for climbing. The cassette is written the same way: 11-34 means the smallest cog has 11 teeth and the largest 34.

What is a good gear ratio for climbing?

For steep climbs, aim for an easiest gear of 1.0 or lower, about 27 gear inches or 2.1 m of development on a road bike. A 34×34 (1.0) or SRAM 35×36 (0.97) gets most riders up 10–12% grades at a sustainable cadence. Loaded touring and gravel bikes often go down to 0.8 (48/31 × 11-36 gives 0.86), and 1x mountain bikes to 0.6 (32×52).

What is gain ratio?

Gain ratio is Sheldon Brown's measure of gearing: the distance the bike moves divided by the distance your pedal moves. It equals the gear ratio × wheel radius ÷ crank length. 50×11 on a 700x28c wheel with 172.5 mm cranks has a gain ratio of about 9.0. Unlike gear inches it accounts for crank length, so it compares bikes with different cranks fairly.

How many gear inches for a fixed gear or single speed?

Most urban fixed-gear and single-speed riders use 65–75 gear inches, for example 48×17 on 700x25c (74.5 inches) or 42×16 on 700x28c (70.3 inches). Hilly cities and stop-and-go traffic suit 62–68 inches, while track riders use 85–95 inches.

Should I choose a 1x or 2x drivetrain?

A 1x drivetrain is simpler and can match the range of a 2x (a 40×10-44 covers 440%, a 50/34 × 11-34 covers 455%), but with fewer gears the steps between them are bigger: about 14% on average versus 9% on a 2x. Choose 1x for gravel and mountain biking, 2x if you ride fast group rides or want small cadence changes.

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