Threads Per Inch to Pitch Calculator

Turn thread counts into pitch, lead, and travel. Compare inch and metric thread values accurately. Download clean workshop results with formulas and examples instantly.

Enter Thread Data

Example Data Table

TPI Starts Pitch Inch Pitch mm Lead mm Typical Note
8 1 0.125 3.175 3.175 Coarse inch thread example
13 1 0.07692 1.95385 1.95385 Common unified thread count
20 1 0.05 1.27 1.27 Fine adjustment screw example
32 2 0.03125 0.79375 1.5875 Two start travel example

Formula Used

Pitch in inches: Pitch = 1 / TPI

Pitch in millimeters: Pitch mm = 25.4 / TPI

Lead: Lead = Pitch × Number of starts

Travel: Travel = Lead × Revolutions

Revolutions for target travel: Revolutions = Target travel / Lead

Approximate helix angle: Angle = atan(Lead / (π × Diameter))

How to Use This Calculator

  1. Enter the threads per inch value from a drawing, gauge, or specification.
  2. Enter the number of starts. Use one for a normal single start thread.
  3. Add revolutions if you want travel from screw turns.
  4. Add target travel if you want the needed revolutions.
  5. Add diameter only when you want an approximate helix angle.
  6. Choose precision and press the calculate button.
  7. Use CSV or PDF export for reports, shop notes, or records.

Threads Per Inch to Pitch Guide

Thread data can look simple at first. It becomes critical when parts must fit, move, seal, or carry load. Threads per inch, often shortened to TPI, tells how many thread crests appear in one inch of length. Pitch tells the distance from one thread crest to the next. This calculator converts TPI into pitch in inches and millimeters. It also estimates lead, travel, revolutions, and a useful helix angle when a diameter is entered.

Why Pitch Matters

Pitch controls the motion of screws, bolts, lead screws, taps, dies, and threaded inserts. A fine thread has more threads in each inch. It has a smaller pitch. A coarse thread has fewer threads in each inch. It has a larger pitch. Small pitch values can help with fine adjustment. Larger pitch values can move a nut faster with each turn.

TPI and Metric Pitch

In inch systems, thread size is usually stated with TPI. A 1/4-20 screw has twenty threads per inch. Its pitch is one divided by twenty, or 0.05 inch. In metric systems, the pitch is normally written directly in millimeters. A pitch of 1.25 mm means adjacent crests are 1.25 mm apart. The conversion between both systems uses 25.4 millimeters per inch.

Single Start and Multi Start Threads

Pitch is not always the same as lead. Lead is the distance a screw advances in one full turn. For a single start thread, lead equals pitch. For a two start thread, lead equals two pitches. For a four start thread, lead equals four pitches. Multi start threads are useful when fast linear travel is needed without using a very coarse thread form.

Using Results in the Workshop

The calculated pitch helps you choose tools and inspect existing parts. It can support drawings, machining notes, repair work, and quality records. The lead result helps with feed movement, actuator travel, and nut position. The revolutions result helps when a set distance must be reached by turning a screw. The tolerance option gives a quick upper and lower range around the nominal pitch and lead.

Practical Checks

Always confirm thread form before cutting or ordering parts. TPI alone does not define the full thread. Diameter, angle, class of fit, direction, and thread standard also matter. A 20 TPI thread can exist on many diameters. It may follow Unified, Whitworth, Acme, or another profile. Use this tool for pitch and travel math. Then compare the result with the required engineering standard.

Accuracy Tips

Measure several threads when checking an unknown screw. Count threads over a full inch when possible. For short parts, count over half an inch and double the result. Use a thread gauge for better identification. Keep the precision setting high for calculations. Round only the final value for labels, drawings, or shop notes. Export the result when you need a record for later review.

Common Mistakes

Do not confuse TPI with pitch. A larger TPI means a smaller pitch. Do not confuse pitch with lead on multi start screws. Check the start count before estimating travel. Also check units before comparing values. Millimeter pitch and inch pitch can look similar in decimals, yet they describe different measurement systems. Save the export with the job name, tool number, and revision note for safer repeat work. This reduces rework and makes inspection history easier to follow later.

Frequently Asked Questions

What does threads per inch mean?

Threads per inch means the number of complete thread crests counted along one inch of threaded length. A higher value means the thread spacing is smaller.

How do I convert TPI to pitch?

Divide one by the TPI value for inch pitch. Divide 25.4 by the TPI value for millimeter pitch.

What is the pitch of 20 TPI?

For 20 TPI, inch pitch is 0.05 inch. Metric pitch is 1.27 mm because 25.4 divided by 20 equals 1.27.

Is pitch the same as lead?

Pitch equals lead only on a single start thread. On multi start threads, lead equals pitch multiplied by the number of starts.

What is a thread start?

A start is an independent helical ridge on a screw. Most screws have one start. Fast travel screws may have two or more starts.

Can this calculator identify thread standard?

No. It converts TPI into pitch and travel data. Thread standard also needs diameter, angle, profile, fit class, and form details.

Why use 25.4 in the formula?

One inch equals exactly 25.4 millimeters. The calculator uses that value to convert inch thread spacing into metric pitch.

How accurate are the results?

The math is accurate for the entered values. Real part accuracy depends on measurement quality, tool condition, thread form, and manufacturing tolerance.

What does revolutions per inch mean?

It shows how many full turns are needed to move one inch along the thread. Multi start threads need fewer turns per inch.

When should I enter diameter?

Enter diameter when you want the approximate helix angle. Leave it blank if you only need pitch, lead, and travel values.

What is helix angle?

Helix angle estimates the thread spiral angle around the cylinder. It depends on lead and diameter, so diameter is required.

Can I use decimal TPI values?

Yes. Decimal TPI values are accepted. They are useful for special screws, measured estimates, worm gears, and nonstandard thread data.

What is the CSV button for?

The CSV button downloads the calculated result as a simple table. You can open it in spreadsheet software or store it with job records.

What is the PDF button for?

The PDF button creates a compact result report in the browser. It is useful for printing, sharing, and saving calculation records.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.