Chains & Sprockets

Sprocket Pitch Diameter Calculator

Enter chain pitch and sprocket teeth to calculate the pitch circle diameter through the chain pin centers.

Inputs

Formula

Sprocket pitch circle diameter

D = P / sin(pi / Z)

Worked example

Using the default values shown in the calculator, the same formula gives the following result. This is a quick sanity check for the calculation, not a design recommendation.

Inputs

Chain pitch
12.7 mm
Sprocket teeth
19 teeth

Result

Pitch circle diameter
77.16 mm

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Frequently asked questions

What is sprocket pitch diameter?

It is the diameter of the pitch circle passing through the roller-chain pin centers as the chain wraps around the sprocket.

Is pitch diameter the same as outside diameter?

No. Outside diameter depends on sprocket tooth form and is larger than or otherwise different from the pitch circle diameter.