CalculatorsFixie Skid Patch Calculator
Fixie Skid Patch Calculator
A fixed gear skids on the same tyre spots unless the chainring and cog spread those spots out. More patches means the tyre lasts longer.
Inputs
Results
- Skid patches (one foot)
- 17
- Ambidextrous patches
- 17
The Result is indicative and educational. It does not constitute a design, a technical opinion or medical advice and does not replace calculations or verification by a person with the appropriate qualifications and authorisations. Before purchase, installation or use in practice – in particular in electrical installations – the Result should be verified by a qualified specialist. Details: Terms of Service, point 4.
How the number is made
Reduce chainring ÷ cog to lowest terms p/q by dividing both by their gcd. One-foot patches = q. If p is odd, skidding with either foot forward doubles that to 2q; if p is even, both feet land on the same q patches. Example: 44×16 = 11/4 → 4 patches, 8 with either foot.
Prime cogs against a non-multiple chainring maximise one-foot patches, and an odd chainring doubles them for riders who skid with either foot. This does not make a bad gear ratio a good one.
Related calculators
- Bicycle Gear Ratio Calculator
Patches save the tyre; the ratio still decides whether you can climb.
- Optimal Chain Length Calculator
A track chain is sized on one ring and one cog, with no derailleur slack.
Questions
Why do prime cogs help?
A prime cog shares a divisor only when the chainring is a multiple of that prime. Otherwise gcd is 1 and you get one patch per cog tooth. A 51 T ring with a 17 T cog reduces to 3/1 and leaves a single patch.
Is 48×17 enough patches?
gcd(48, 17) is 1, so one foot gets 17 patches. 48 is even, so the other foot lands on the same 17; a 47 or 49 T ring would give 34 to a rider who skids with either foot. 17 is still a friendly count.
When does skidding with either foot double the patches?
When the chainring is still odd after dividing out the common factor. 44×16 reduces to 11/4: 4 patches with one foot, 8 with either. 42×15 reduces to 14/5: 5 patches either way.
Example products
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- Fixed cog
A 17 T cog against 48 T is a classic high patch count because 17 is prime.
$20–$60