# Circular Pitch

on . Posted in Gear

Circular pitch, abbreviated as CP, is the measured distance along the circumference of the pitch diameter from the point of one tooth to the corresponding point on an adjacent tooth.   In simpler terms, it is the distance between corresponding points on adjacent teeth, measured along the pitch circle.  The circular pitch is one of the parameters used in gear design and is essential for determining the spacing and dimensions of gears in a system.  It ensuring a smooth and accurate transmission of motion between gears in various mechanical applications.

### Circular Pitch formula

$$CP \;=\; (\pi\;PD) \;/\;n_t$$     (Circular Pitch)

$$PD \;=\; (CP\;n_t) \;/\;\pi$$

$$n_t \;=\; (\pi\;PD) \;/\;CP$$

### Solve for CP

 pitch diameter, PD number of teeth, nt

### Solve for PD

 circular pitch, CP number of teeth, nt

### Solve for nt

 pitch diameter, PD circular pitch, CP

Symbol English Metric
$$CP$$ = circular pitch $$in$$ $$mm$$
$$n_t$$ = number of teeth $$dimensionless$$
$$\pi$$ = Pi $$3.141 592 653 ...$$
$$PD$$ = pitch diameter $$in$$ $$mm$$

### Circular Pitch formula

$$CP \;=\; \pi\;/\;DP$$     (Circular Pitch)

$$DP \;=\; \pi\;/\;CP$$

### Solve for CP

 dimetrical pitch, DP

### Solve for DP

 circular pitch, CP

Symbol English Metric
$$CP$$ = circular pitch $$in$$ $$mm$$
$$DP$$ = dimetrical pitch $$in$$ $$mm$$
$$\pi$$ = Pi $$3.141 592 653 ...$$

Tags: Gear