RatioRide
RATIORIDE · CYCLING TOOLS

Gear ratios

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LESS GUESSWORK. MORE RIDING.

Calculators for your bike

Compare gears, dial in your cadence and plan your wheel build. All in one place.

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01

Gear ratios

See what changes between your current drivetrain and the next one.

How it works ↗
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Drivetrain A your baseline

Separate tooth counts with spaces: 11 13 15. Up to 3 chainrings and 14 cogs.

Drivetrain B your alternative
Results update when you calculate

YOUR COMPARISON

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02

Cadence & speed

From pedal revolutions to kilometers per hour — and back.

How it works ↗
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03

Spoke length

One length for each side of the wheel, with the geometry in plain view.

How to measure ↗
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ERD is the effective diameter to the spoke ends seated in the nipples — not the rim's outer diameter.

Viewed from behind: positive to the left, negative to the right. Symmetric rim = 0.

Left side
Right side

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Where to measure the rim and hubOn the left, ERD spans the rim to the spoke ends in the nipples, and PCD spans the centers of the flange holes. On the right, a rear cross-section shows the distances from the hub center to the left and right flanges.ERDPCDLRCenterRim, side viewHub, viewed from behind
Schematic diagram, not to scale. L and R are measured from the hub center.
04

Tire pressure

A starting estimate that puts the limits of your setup first.

Method & limits ↗
Try
The weight the bike carries

45% is an example. To measure it, weigh each wheel at the same height with the rider in riding position.

Front tire
Rear tire

The starting limits are made up to demonstrate the tool. Replace them with your tire's and rim's limits for this width. A minimum of 0 means “not specified by the manufacturer”, never a riding pressure.

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Before you inflate

The limits are those of your whole setup, not just the number on the tire sidewall. The lowest maximum and the highest minimum apply.

For hookless rims we also check the pressure cap for each width band. An estimate outside the range is blocked — it is never silently clipped to the limit.

See formula, table and sources ↗

Your scenario workbench

Save all four tools together. Compare, export and take it to the workshop.

Up to 20 scenarios, stored only in this browser. Clearing site data deletes them, so export a copy. No setup is ever sent to a server.

Your workbench is empty. Name the setup above and save your first scenario.

UNDERSTAND THE NUMBERS

From the calculator to your pedals

Careful measurements matter more than extra decimal places. Here is what each result means.

01 / DRIVETRAIN

Which gear makes climbing easier?

The gear ratio is the number of chainring teeth divided by the number of cog teeth. A 32-tooth chainring with a 51-tooth cog gives 0.627: the wheel turns about 0.63 times per crank revolution. On the same wheel, a lower ratio means less distance per pedal stroke.

Development (also called rollout) takes the wheel into account too: development (m) = circumference (m) × chainring ÷ cog. Compare the lowest development for climbs and the highest for fast sections. The range is the highest divided by the lowest, multiplied by 100.

Gear inches use the effective wheel diameter in inches. Gain ratio divides the effective wheel radius by the crank length and multiplies it by the gear ratio. The calculation does not guarantee derailleur compatibility, enough chain capacity or freedom from cross-chaining.

02 / RHYTHM

How do you convert cadence into speed?

Cadence is the number of full crank revolutions per minute (rpm). Multiply the development by the cadence and by 0.06 to get km/h. To go the other way, divide the speed by development × 0.06.

Example: with a 2,100 mm wheel, a 50-tooth chainring and a 25-tooth cog, each pedal stroke covers 4.2 m. At 90 rpm that is 22.68 km/h. Holding 30 km/h in the same gear takes about 119 rpm. This describes the motion only; whether you can sustain that pace depends on the conditions and the rider.

How to measure wheel circumference

Inflate the tire, mark the contact point on the ground and roll forward one full wheel revolution with the bike loaded. Measure the distance between the marks in millimeters. “29er” or “700c” alone does not determine this distance: width, load and pressure all affect it.

03 / WHEEL BUILD

The measurements that determine spoke length

ERD runs to the ends of spokes correctly threaded into the nipples. Measure across more than one diameter of the rim, using the nipples and washers you will build with. PCD runs through the centers of the holes in each flange. Also measure from the hub center to each flange.

We use L = √(R² + r² + d² − 2Rr cos θ) − h/2, where R = ERD/2, r = PCD/2, d = effective lateral distance, θ = 4π × crosses ÷ total spokes and h = hole diameter. All measurements are in mm. A positive offset to the left reduces the left d and increases the right d.

The result is shown to one decimal place for geometric comparison. It is not a shopping list: check tolerances, available lengths, thread engagement and the manufacturer's recommendations. The formula does not apply to straight-pull spokes, paired spoking or 2:1 lacing.

04 / GROUND CONTACT

Bike tire pressure: why is there no universal PSI?

Load per wheel and actual width change the pressure you need. RatioRide uses its own heuristic: P(bar) = 4 × (load per wheel / 42.5) × (28 / width in mm)1.5 × surface factor × setup factor. The reference point is 4 bar for 42.5 kg and 28 mm, on smooth pavement with a tubeless setup. It is not a SILCA or SRAM formula.

Surface factors: smooth 1; rough 0.92; hardpack gravel 0.85; light trail 0.80. With an inner tube we multiply by 1.08. These are explicit modeling choices, not certified coefficients. The formula does not account for casing, temperature, speed, impacts or grip; software tests are no substitute for real-world validation.

Conversion: 1 bar = 14.503773773 psi. The model covers tires from 23 to 80 mm and a total mass of up to 200 kg. Once you confirm compatibility, a result is shown only if it falls within the range you entered. Hookless rims with inner tubes are outside our scope, even though some manufacturer-approved setups exist.

Hookless pressure caps and our conservative rule

Schwalbe technical reference for TSS: 25–29 mm: 5 bar; 30–34: 4.5; 35–39: 4; 40–44: 3.5; 45–54: 3; 55–64: 2.5; 65–74: 2; 75–84: 1.5. Below 25 mm we give no hookless recommendation.

The source refers to “tire width” without distinguishing nominal from measured width. To stay on the safe side, we pick the cap using the larger of the two and continuous bands (28.9 mm stays below 30). This is a RatioRide decision, not a rule attributed to the source. Lower limits set by the manufacturer always take precedence.

WORKSHOP QUESTIONS

Frequently asked questions

Is a bike with more gears necessarily faster?

No. The highest development determines how far the bike travels per pedal stroke in the hardest gear. More cogs may only reduce the steps between gears. To compare two drivetrains, look at the extremes, the progression and each bike's wheel circumference.

What is the ideal tire pressure for a 29er?

“29er” tells you nothing about width, casing, load or the limits of your setup. Enter the total weight and each tire's measurements, check the rim and tire manuals, and use the estimate only as a starting point. A 58 mm tire and a 70 mm tire can need very different pressures on the same bike.

Why are the right and left spokes different lengths?

The space taken up by the cassette or the brake rotor changes where the flanges sit. With different distances from the wheel center to each flange, the geometry changes. Asymmetric rims also change these distances. That is why the calculator asks for measurements on both sides.

Can I save, compare and print without an account?

Yes. Give your set of measurements a name and save it. Select two or three scenarios to compare them. The report includes the current inputs, results and assumptions; use your browser's “Save as PDF” option. Scenarios stay on this device, and JSON export lets you take a copy to another one.

Are my projects public, or do they show up on Google?

We do not send your setups to a server or create individual web addresses for them. Scenarios live in your browser's local storage. An exported JSON or PDF file contains the data you chose to save; share those files only with people you choose.

Can I use a comma for decimals?

Yes: 172.5 and 172,5 mean the same crank length. In tooth lists, use spaces, as in 11 13 15 17. Invalid values are flagged next to the field and do not produce a new result.

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