Gear Diametral Pitch, Module Conversion Table Chart
Gear Application and Design Resources
The following charts convert gear pitch dimensional data to the following:
Diametral Pitch, Module, Circular Pitch
Module: is the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth.
Module = (Reference Diameter) / (Number of Teeth)
m = d / z
Diametric, module and circular pitches Conversion.
Diametral Pitch | Circular Pitch in Inches |
Circular Pitch in Millimeters |
Module In Millimeters |
20 24 25.3995 31.4159 31.7653 32 36.2857 42.3333 48 50.8348 63.5950 64 72 80 84.6198 96 101.6697 120 127.1899 200 |
.1571 .1309 .1237 .100 .0989 .0982 .0856 .0742 .0654 .0618 .0494 .0491 .0436 .0393 .0371 .0327 .0309 .0262 .0247 .0157 |
3.990 3.325 3.142 2.540 2.513 2.494 2.199 1.885 1.661 1.571 1.256 1.247 1.107 .998 .943 .831 .785 .665 .628 .399 |
1.2700 1.0583 1.0 .8085 .8 .7938 .7 .6 .5288 .5 .4 .3969 .3524 .3177 .3 .2645 .25 .2116 .2 .127 |
Spur Gear Conversion
(Units in inches)
Standard Stock Pitches |
Addendum | Dedendum | Whole Depth |
Circular Pitch |
20 24 1/10 32 48 64 72 80 96 120 200 |
.0500 .0417 .0318 .0313 .0208 .0156 .0139 .0125 .0104 .0083 .0050 |
.0579 .0520 .0402 .0395 .0270 .0208 .0187 .0170 .0145 .0120 .0080 |
.1079 .0937 .0720 .0708 .0478 .0364 .0326 .0295 .0249 .0203 .0130 |
.1571 .1309 .1000 .0982 .0654 .0491 .0436 .0393 .0327 .0262 .0157 |
Common Gear Pitches by Decimal Size (Units in inches)
Diametral Pitch (inch) |
Circular Pitch (inch) |
Module |
0.3387 |
9.2764 |
75 |
0.3629 |
8.658 |
70 |
0.3908 |
8.0395 |
65 |
0.4233 |
7.4211 |
60 |
0.4618 |
6.8027 |
55 |
0.5 |
6.2832 |
50.8 |
0.508 |
6.1843 |
50 |
0.5644 |
5.5658 |
45 |
0.6048 |
5.1948 |
42 |
0.6513 |
4.8237 |
39 |
0.7056 |
4.4527 |
36 |
0.75 |
4.1888 |
33.867 |
0.7697 |
4.0816 |
33 |
0.7854 |
4 |
12.128 |
0.8467 |
3.7106 |
30 |
0.8976 |
3.5 |
12 |
0.9407 |
3.3395 |
27 |
1 |
3.1416 |
25.4 |
1.0472 |
3 |
11.622 |
1.0583 |
2.9684 |
24 |
1.1424 |
2.75 |
11.289 |
1.1545 |
2.7211 |
22 |
1.25 |
2.5133 |
20.32 |
1.2566 |
2.5 |
11.117 |
1.27 |
2.4737 |
20 |
1.3963 |
2.25 |
11 |
1.4111 |
2.2263 |
18 |
1.5 |
2.0944 |
16.933 |
1.5708 |
2 |
10.612 |
1.5875 |
1.979 |
16 |
1.6755 |
1.875 |
10.16 |
1.6933 |
1.8553 |
15 |
1.75 |
1.7952 |
14.514 |
1.7952 |
1.75 |
10 |
1.8143 |
1.7316 |
14 |
1.9333 |
1.625 |
9.236 |
1.9538 |
1.6079 |
13 |
2 |
1.5708 |
12.7 |
2.0944 |
1.5 |
9.096 |
2.1167 |
1.4842 |
12 |
2.1855 |
1.4375 |
9 |
2.25 |
1.3963 |
11.289 |
2.2848 |
1.375 |
8.59 |
2.3091 |
1.3605 |
11 |
2.3936 |
1.3125 |
8.467 |
2.5 |
1.2566 |
10.16 |
2.54 |
1.2369 |
10 |
2.75 |
1.1424 |
9.236 |
2.7925 |
1.125 |
8.085 |
2.8222 |
1.1132 |
9 |
2.9568 |
1.0625 |
8 |
3 |
1.0472 |
8.467 |
3.1416 |
1 |
7.58 |
3.175 |
0.9895 |
8 |
3.351 |
0.9375 |
7.257 |
3.5 |
0.8976 |
7.257 |
3.5904 |
0.875 |
7.074 |
3.6286 |
0.8658 |
7 |
3.8666 |
0.8125 |
7 |
3.9077 |
0.804 |
6.5 |
4 |
0.7854 |
6.35 |
4.1888 |
0.75 |
6.569 |
4.2333 |
0.7421 |
6 |
4.5 |
0.6981 |
5.644 |
4.5696 |
0.6875 |
6.5 |
4.6182 |
0.6803 |
5.5 |
4.71 |
0.667 |
6.35 |
5 |
0.6283 |
5.08 |
5.0266 |
0.625 |
6.064 |
5.08 |
0.6184 |
5 |
5.5851 |
0.5625 |
6 |
5.6444 |
0.5566 |
4.5 |
6 |
0.5236 |
4.233 |
6.2832 |
0.5 |
5.644 |
6.35 |
0.4947 |
4 |
6.7733 |
0.4638 |
3.75 |
7 |
0.4488 |
3.629 |
7.1808 |
0.4375 |
5.558 |
7.2571 |
0.4329 |
3.5 |
7.8154 |
0.402 |
3.25 |
7.854 |
0.4 |
5.5 |
8 |
0.3927 |
3.175 |
8.3776 |
0.375 |
5.393 |
8.4667 |
0.3711 |
3 |
9 |
0.3491 |
2.822 |
9.2364 |
0.3401 |
2.75 |
9.4342 |
0.333 |
5.08 |
10 |
0.3142 |
2.54 |
10.0531 |
0.3125 |
5.053 |
10.16 |
0.3092 |
2.5 |
10.9846 |
0.286 |
5 |
11 |
0.2856 |
2.309 |
11.2889 |
0.2783 |
2.25 |
12 |
0.2618 |
2.117 |
12.5664 |
0.25 |
4.548 |
12.7 |
0.2474 |
2 |
13 |
0.2417 |
1.954 |
14 |
0.2244 |
1.814 |
14.1514 |
0.222 |
4.5 |
14.5143 |
0.2164 |
1.75 |
15 |
0.2094 |
1.693 |
15.708 |
0.2 |
4.233 |
16 |
0.1964 |
1.588 |
16.7552 |
0.1875 |
4.043 |
16.9333 |
0.1855 |
1.5 |
17 |
0.1848 |
1.494 |
18 |
0.1745 |
1.411 |
18.812 |
0.167 |
4 |
19 |
0.1653 |
1.337 |
20 |
0.1571 |
1.27 |
20.32 |
0.1546 |
1.25 |
22 |
0.1428 |
1.155 |
24 |
0.1309 |
1.058 |
25.4 |
0.1237 |
1 |
26 |
0.1208 |
0.977 |
28 |
0.1122 |
0.907 |
28.2222 |
0.1113 |
0.9 |
30 |
0.1047 |
0.847 |
31.75 |
0.0989 |
0.8 |
32 |
0.0982 |
0.794 |
34 |
0.0924 |
0.747 |
36 |
0.0873 |
0.706 |
36.2857 |
0.0866 |
0.7 |
42.3333 |
0.0742 |
0.6 |
50.8 |
0.0618 |
0.5 |
63.5 |
0.0495 |
0.4 |
84.6667 |
0.0371 |
0.3 |
Gear Pitch Conversion Table Chart
(Units in inches)
Diametral Pitch |
Circular Pitch |
Module |
Diametral Pitch |
Circular Pitch |
Module |
Diametral Pitch |
0.3387 |
9.2764 |
75 |
2.3091 |
1.3605 |
11 |
9.4342 |
0.3629 |
8.658 |
70 |
2.3936 |
1.3125 |
8.467 |
10 |
0.3908 |
8.0395 |
65 |
2.5 |
1.2566 |
10.16 |
10.0531 |
0.4233 |
7.4211 |
60 |
2.54 |
1.2369 |
10 |
10.16 |
0.4618 |
6.8027 |
55 |
2.75 |
1.1424 |
9.236 |
10.9846 |
0.5 |
6.2832 |
50.8 |
2.7925 |
1.125 |
8.085 |
11 |
0.508 |
6.1843 |
50 |
2.8222 |
1.1132 |
9 |
11.2889 |
0.5644 |
5.5658 |
45 |
2.9568 |
1.0625 |
8 |
12 |
0.6048 |
5.1948 |
42 |
3 |
1.0472 |
8.467 |
12.5664 |
0.6513 |
4.8237 |
39 |
3.1416 |
1 |
7.58 |
12.7 |
0.7056 |
4.4527 |
36 |
3.175 |
0.9895 |
8 |
13 |
0.75 |
4.1888 |
33.867 |
3.351 |
0.9375 |
7.257 |
14 |
0.7697 |
4.0816 |
33 |
3.5 |
0.8976 |
7.257 |
14.1514 |
0.7854 |
4 |
12.128 |
3.5904 |
0.875 |
7.074 |
14.5143 |
0.8467 |
3.7106 |
30 |
3.6286 |
0.8658 |
7 |
15 |
0.8976 |
3.5 |
12 |
3.8666 |
0.8125 |
7 |
15.708 |
0.9407 |
3.3395 |
27 |
3.9077 |
0.804 |
6.5 |
16 |
1 |
3.1416 |
25.4 |
4 |
0.7854 |
6.35 |
16.7552 |
1.0472 |
3 |
11.622 |
4.1888 |
0.75 |
6.569 |
16.9333 |
1.0583 |
2.9684 |
24 |
4.2333 |
0.7421 |
6 |
17 |
1.1424 |
2.75 |
11.289 |
4.5 |
0.6981 |
5.644 |
18 |
1.1545 |
2.7211 |
22 |
4.5696 |
0.6875 |
6.5 |
18.812 |
1.25 |
2.5133 |
20.32 |
4.6182 |
0.6803 |
5.5 |
19 |
1.2566 |
2.5 |
11.117 |
4.71 |
0.667 |
6.35 |
20 |
1.27 |
2.4737 |
20 |
5 |
0.6283 |
5.08 |
20.32 |
1.3963 |
2.25 |
11 |
5.0266 |
0.625 |
6.064 |
22 |
1.4111 |
2.2263 |
18 |
5.08 |
0.6184 |
5 |
24 |
1.5 |
2.0944 |
16.933 |
5.5851 |
0.5625 |
6 |
25.4 |
1.5708 |
2 |
10.612 |
5.6444 |
0.5566 |
4.5 |
26 |
1.5875 |
1.979 |
16 |
6 |
0.5236 |
4.233 |
28 |
1.6755 |
1.875 |
10.16 |
6.2832 |
0.5 |
5.644 |
28.2222 |
1.6933 |
1.8553 |
15 |
6.35 |
0.4947 |
4 |
30 |
1.75 |
1.7952 |
14.514 |
6.7733 |
0.4638 |
3.75 |
31.75 |
1.7952 |
1.75 |
10 |
7 |
0.4488 |
3.629 |
32 |
1.8143 |
1.7316 |
14 |
7.1808 |
0.4375 |
5.558 |
34 |
1.9333 |
1.625 |
9.236 |
7.2571 |
0.4329 |
3.5 |
36 |
1.9538 |
1.6079 |
13 |
7.8154 |
0.402 |
3.25 |
36.2857 |
2 |
1.5708 |
12.7 |
7.854 |
0.4 |
5.5 |
42.3333 |
2.0944 |
1.5 |
9.096 |
8 |
0.3927 |
3.175 |
50.8 |
2.1167 |
1.4842 |
12 |
8.3776 |
0.375 |
5.393 |
63.5 |
2.1855 |
1.4375 |
9 |
8.4667 |
0.3711 |
3 |
84.6667 |
2.25 |
1.3963 |
11.289 |
9 |
0.3491 |
2.822 |
- |
2.2848 |
1.375 |
8.59 |
9.2364 |
0.3401 |
2.75 |
- |
Diametral Pitch |
Circular Pitch |
Module |
9.4342 |
0.333 |
5.08 |
10 |
0.3142 |
2.54 |
10.0531 |
0.3125 |
5.053 |
10.16 |
0.3092 |
2.5 |
10.9846 |
0.286 |
5 |
11 |
0.2856 |
2.309 |
11.2889 |
0.2783 |
2.25 |
12 |
0.2618 |
2.117 |
12.5664 |
0.25 |
4.548 |
12.7 |
0.2474 |
2 |
13 |
0.2417 |
1.954 |
14 |
0.2244 |
1.814 |
14.1514 |
0.222 |
4.5 |
14.5143 |
0.2164 |
1.75 |
15 |
0.2094 |
1.693 |
15.708 |
0.2 |
4.233 |
16 |
0.1964 |
1.588 |
16.7552 |
0.1875 |
4.043 |
16.9333 |
0.1855 |
1.5 |
17 |
0.1848 |
1.494 |
18 |
0.1745 |
1.411 |
18.812 |
0.167 |
4 |
19 |
0.1653 |
1.337 |
20 |
0.1571 |
1.27 |
20.32 |
0.1546 |
1.25 |
22 |
0.1428 |
1.155 |
24 |
0.1309 |
1.058 |
25.4 |
0.1237 |
1 |
26 |
0.1208 |
0.977 |
28 |
0.1122 |
0.907 |
28.2222 |
0.1113 |
0.9 |
30 |
0.1047 |
0.847 |
31.75 |
0.0989 |
0.8 |
32 |
0.0982 |
0.794 |
34 |
0.0924 |
0.747 |
36 |
0.0873 |
0.706 |
36.2857 |
0.0866 |
0.7 |
42.3333 |
0.0742 |
0.6 |
50.8 |
0.0618 |
0.5 |
63.5 |
0.0495 |
0.4 |
84.6667 |
0.0371 |
0.3 |
- |
- |
- |
- |
- |
- |