Diametral

Circular Pitch

Addendum

Dedendum

Whole Depth

Module

Pitch

Inches

Millimeters

Inches

Millimeters

Inches

Millimeters

Inches

Millimeters

0.5

50.8

0.0618

1.5708

0.0197

0.5

0.0246

0.6250

0.0443

1.12500

0.6

42.3333

0.0742

1.885

0.0236

0.6

0.0295

0.7500

0.0531

1.3500

0.75

33.8666

0.0927

2.3562

0.0295

0.75

0.0369

0.9375

0.0664

1.6875

0.8

31.75

0.0989

2.5132

0.0315

0.8

0.0394

1.0000

0.0709

1.8000

1.0

25.4

0.1236

3.1416

0.0394

1.0

0.0492

1.2500

0.0886

2.2500

1.25

20.32

0.1546

3.927

0.0492

1.25

0.0615

1.5625

0.1107

2.8125

1.5

16.9333

0.1855

4.7124

0.0591

1.5

0.0738

1.8750

0.1329

3.3750

1.75

14.5142

0.2164

5.4978

0.0689

1.75

0.0861

2.1875

0.1550

3.9375

2.0

12.7

0.2473

6.2832

0.0787

2.0

0.0984

2.5000

0.1771

4.5000

2.25

11.2888

0.2782

7.0686

0.0886

2.25

0.1107

2.8125

0.1993

5.0625

2.5

10.16

0.3092

7.854

0.0984

2.5

0.1230

3.1250

0.2214

5.6250

2.75

9.2363

0.3401

8.6394

0.1083

2.75

0.1353

3.4375

0.2436

6.1875

3.0

8.4666

0.3710

9.4248

0.1181

3.0

0.1476

3.7500

0.2657

6.7500

3.25

7.8153

0.4019

10.2102

0.1280

3.25

0.1599

4.0625

0.2879

7.3125

3.5

7.2571

0.4328

10.9956

0.1378

3.5

0.1722

4.3750

0.3100

7.8750

3.75

6.7733

0.4638

11.781

0.1476

3.75

0.1845

4.6875

0.3321

8.4375

4.0

6.35

0.4947

12.5664

0.1575

4.0

0.1969

5

0.3544

9.0000

4.25

5.9764

0.5256

13.3518

0.1673

4.25

0.2092

5.3125

0.3765

9.5625

4.5

5.6444

0.5565

14.1372

0.1772

4.5

0.2215

5.6250

0.3987

10.1250

4.75

5.3473

0.5875

14.9226

0.1870

4.75

0.2338

5.9375

0.4208

10.6875

5.0

5.08

0.6184

15.708

0.1969

5.0

0.2461

6.2500

0.4430

11.2500

5.25

4.838

0.6493

16.4934

0.2067

5.25

0.2584

6.5625

0.4651

11.8125

5.5

4.6181

0.6802

17.2788

0.2156

5.5

0.2707

6.8750

0.4872

12.3750

5.75

4.4174

0.7111

18.0642

0.2264

5.75

0.2830

7.1875

0.5094

12.9375

6.0

4.2333

0.7421

18.8496

0.2362

6.0

0.2953

7.5000

0.5315

13.5000

6.25

4.064

0.7730

19.635

0.2461

6.25

0.3076

7.8125

0.5537

14.0625

6.5

3.9076

0.8039

20.4204

0.2559

6.5

0.3199

8.1250

0.5758

14.6250

6.75

3.7629

0.8348

21.2058

0.2657

6.75

0.3322

8.4375

0.5979

15.1875

7.0

3.6285

0.8657

21.9912

0.2756

7.0

0.3445

8.7500

0.6201

15.7500

7.25

3.5034

0.8967

22.7766

0.2854

7.25

0.3568

9.0625

0.6422

16.8125

7.5

3.3866

0.9276

23.562

0.2953

7.5

0.3691

9.3750

0.6644

16.8750

7.75

3.2774

0.9585

24.3474

0.3051

7.75

0.3814

9.6875

0.6865

17.4375

8.0

3.175

0.9894

25.1328

0.3150

8.0

0.3937

10.0000

0.7088

18.0000

8.25

3.0787

1.0204

25.9182

0.3248

8.25

0.4060

10.3125

0.7308

18.5625

Diam.
Pitch

Circular
Pitch

Whole
Depth

3

1.0471975

.3333

.3857

.7190

3 1/2

.8975979

.2857

.3306

.6163

4

.7853981

.2500

.2893

.5393

5

.6283185

.2000

.2314

.4314

6

.5235987

.1667

.1929

.3595

7

.4487989

.1429

.1653

.3082

8

.3926990

.1250

.1446

.2696

9

.3490658

.1111

.1286

.2397

10

.3141593

.1000

.1157

.2157

11

.2855993

.0909

.1052

.1961

12

.2617993

.0833

.0964

.1798

13

.2416609

.0769

.0890

.1659

14

.2243994

.0714

.0827

.1541

15

.2094395

.0667

.0771

.1438

16

.1963495

.0625

.0723

.1348

17

.1847995

.0588

.0681

.1269

18

.1745329

.0556

.0643

.1198

19

.1653469

.0526

.0609

.1135

20

.1570796

.0500

.0620

.1120

22

.1427996

.0455

.0565

.1020

24

.1308996

.0417

.0520

.0937

26

.1208304

.0385

.0482

.0866

28

.1121997

.0357

.0449

.0805

30

.1047197

.0333

.0420

.0753

32

.0981747

.0313

.0395

.0708

36

.0872664

.0278

.0353

.0631

40

.0785398

.0250

.0320

.0570

44

.0713998

.0227

.0293

.0520

Outside Diameter

A = (N + 2)/P

Add 2 to the number of teeth and divide

the sum by the diametrical pitch.

Outside Diameter

A = PD + (2a)

Add two times the addendum to the

pitch diameter.

Diametrical Pitch

DP = N/PD

Divide the number of teeth by the pitch diameter.

Number of Teeth

N = PD * DP

Multiply the pitch diameter by the diametrical pitch.

Pitch Diameter

PD = A - (2a)

Subtract two times the addendum from the outside diameter.

Addendum

a = 1/DP

Divide one by the diametrical pitch.

Where

A = Outside Diameter

a = Addendum

DP = Diametrical Pitch (pitch)

N = Number of Teeth

PD = Pitch Diameter