Designing Turks Head Knots
Turks Head Knot Leads and Bights Calculator
Introduction
A Turk’s head knot is one of the most popular decorative knots used in ropework, leatherwork, scouting and nautical crafts. It can be tied as a bracelet, ring, woggle, handle covering, bottle knot, decorative band or foundation knot for more complex work.
This Turk’s head knot calculator helps you understand leads and bights, check whether a combination works, and generate a practical over-under pattern before you start tying.
If you want to go straight to designing a knot, you can use my interactive cylindrical Turk’s head knot designer here.
Leads and Bights
A Turk’s head knot is a woven decorative knot made from a continuous strand that wraps around a cylinder, tube, stick, bottle, jig or core. The finished knot forms a repeating pattern of crossings.
Simple Turk’s head knots are often described by two numbers:
- Leads – The number of times the strand travels around the object before the knot closes.
- Bights – The number of visible lobes around the edge of the knot.
What Works
The GCD Rule
Not every pair of numbers produces a single continuous Turk’s head knot.
A single-strand Turk’s head knot works cleanly when the number of leads and bights are coprime. This means they share no common factor greater than 1.
Turk’s Head Knot Leads and Bights Chart
This chart shows which leads and bights combinations form a single continuous Turk’s head knot. A combination works when the greatest common divisor (GCD) equals 1.
Example: 3 lead 4 bight works because GCD(3,4)=1. 6 lead 8 bight does not form a single-strand knot because GCD(6,8)=2. This makes it easier to rule out impossible combinations before setting up a jig or starting a knot.
Online Tools
Over-under Pattern Generator
One of the harder parts is understanding the over-under sequence in a Turk’s head knot.
A good over-under pattern generator helps by showing:
- the route of the strand
- where the strand passes over
- where it passes under
- how the weave repeats around the knot
This is especially useful when:
- planning a knot before tying
- building a custom jig
- checking whether a design will dress neatly
- scaling a knot for paracord, cordage or leather lace
My interactive tool is designed to make this easier by showing the knot structure in a more visual way than a static diagram.
Turk’s Head Over-Under Pattern Calculator
Use the Turk’s head calculator below to generate over-under instructions from your chosen leads and bights.
Tip: Turk’s head knots require the leads and bights to be coprime.
Generate a Turk’s Head Knot Pattern
If you want to work out a pattern visually, use the interactive cylindrical Turk’s head knot designer.
- experiment with different leads and bights
- see which combinations work
- explore the resulting structure before tying
- choose the right knot jig
How to Choose Leads and Bights
Choosing the right leads and bights combination determines the shape and complexity of the knot. Lower lead counts produce simple decorative bands, while higher lead counts produce denser, more intricate knots. Beginners often start with smaller combinations, while larger leads and bights produce more complex decorative knots.
For example:
- 3 lead 4 bight – common beginner knot
- 5 lead 4 bight – classic bracelet pattern
- 7 lead 6 bight – more decorative band
- 9 lead 8 bight – complex decorative knot
Jigs
We manufacture a number of jigs designed to help with tying Turk’s head knots.
Scout Woggle JigIdeal for learning a basic Turk’s head knot, especially for scouts and beginners. |
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Stacking Turk’s Head Jig SetA comprehensive set of stacking jigs with pins and rubber bands. The included instructions make it easier to follow the knot path without having to keep track of the full tying sequence. |
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Individual JigsA selection of individual jigs is also available, including separate parts from the stacking set. |
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Need a Custom Jig?
If you need a custom jig for a particular project, please get in touch. I’d be happy to help.
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