Twist Per Inch Calculator
TPI from fiber type and desired yarn characteristics.
Inputs
Results
TPI (calculated)
18.83
TPI (balanced rule)3.46
Twist angle (°)78.5
Singles TPI18.83
Plying TPI13.31
Twists per staple75.3
Approx yarn count (Ne)22.15
How to Use This Calculator
- Enter the target WPI (wraps per inch) of your yarn.
- Set the twist multiplier for your fiber: wool worsted 3.5–4.5, woolen 4.5–6, cotton 3.5–4.5, silk 2.5–3.5.
- Enter the number of plies for the finished yarn.
- Enter the staple length in inches of your fiber.
- Read the calculated TPI and the balanced-rule TPI as two complementary starting points.
- Check the twists per staple output — a value above 1 confirms sufficient twist for yarn integrity.
How the result changes with Target WPI
| Target WPI | TPI (calculated) |
|---|---|
| 6.9 | 10.83 |
| 22 | 34.52 |
| 39 | 61.19 |
| 54 | 84.72 |
What each input means
- Target WPI
- Wraps per inch of your target yarn — determines approximate yarn count.
- Twist multiplier
- Fiber-dependent factor: wool worsted 3.5-4.5, woolen 4.5-6, cotton 3.5-4.5, silk 2.5-3.5.
- Number of plies
- Number of singles plied together (1 for singles yarn).
- Staple length (in)
- Average fiber staple length in inches — affects minimum twist needed.
What each result means
- TPI (calculated)
- Twist per inch using the twist multiplier × √Ne formula.
- TPI (balanced rule)
- TPI from the √WPI rule of thumb for balanced singles.
- Twist angle (°)
- Approximate helix angle of the twist.
- Singles TPI
- Recommended TPI for each single when plying.
- Plying TPI
- Recommended plying twist (singles TPI ÷ √plies).
- Twists per staple
- Total twists across one staple length — should be > 1 for yarn integrity.
- Approx yarn count (Ne)
- Estimated English cotton count from WPI.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersTarget WPI = 12, Twist multiplier = 4, Number of plies = 2, Staple length (in) = 4 = 4 input(s) provided
- Calculate TPITPI = twistMultiplier * sqrt(neApprox)18.83 = 18.83
- Calculate TPITPI = sqrt(wpi)3.46 = 3.46
- Calculate Twist angle78.5 = 78.5
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