A Jacquard mechanism selects hooks that lift warp ends through a harness of cords and heddles. Explore a repeated tie in which each allocated hook controls one corresponding warp end in every horizontal pattern repeat.
Jacquard Repeated-Tie Allocation Explorer
Enter addressable hook positions, a deliberately allocated fraction, horizontal repeat count and warp sett. Results assume one allocated hook position drives one warp end in each repeat; verify the real harness tie plan before using the numbers.
Equation Used
- H is the number of addressable hook positions and C is the selected fraction allocated to this pattern field.
- Each allocated hook position is connected to exactly one harness cord and one warp end in each of R identical horizontal repeats.
- Sett E is uniform; selvages, spare hooks, extra layers, grouped ends, harness losses and machine limits are excluded.
Each pattern repeat uses the same set of allocated hook positions. Adding repeats increases the total number of controlled warp ends and the patterned width, while the number of positions within each repeat stays the same.
Hook, cord, heddle and warp-end load path
In a mechanical Jacquard, a punched card acts through needles to place hooks in or out of the path of a lifting knife. A selected hook raises a neck cord. One or more harness cords connect below it, pass through guide boards and the comber board, and actuate heddles carrying warp ends. Return springs or weights restore the heddles when the lift is released.
The animation deliberately shows a conventional repeated tie: each sampled hook position branches to one corresponding cord in each repeated unit. It is a topology and allocation illustration, not a dimensional machine simulation.
Pattern control with machine-specific harness ties
Jacquard mechanisms independently select many warp-control positions and are used for figured woven patterns. Punched-card systems encode successive selections mechanically; modern systems can provide electronic selection. Actual capacity, speed, lift, tie plan and compatible fabrics are properties of the exact head, harness and loom.
Defined repeated-tie arithmetic
H is addressable hook positions, C the selected allocation fraction, R identical horizontal repeats and E warp ends/cm. P is rounded down because a hook position is discrete. Under the stated convention, every allocated position has one harness cord and one warp end in every repeat. Therefore R multiplies total repeated ends and overall patterned width; it does not divide the positions within each identical repeat.
Arithmetic example
For H=400, C=100 percent, R=4 and E=40 ends/cm, each repeat contains 400 controlled positions and spans 10 cm. The repeated field contains 1,600 warp ends across 40 cm. This does not prove that a given machine is tied that way or that all positions are available.
Model boundary
A real design requires the exact head capacity, reserve/selvage allocation, harness and comber-board plan, cord multiplicity, fabric layers, sett, lift and loom limits.
Jacquard harness questions
Does one hook always control one warp end?
No. Patents document a hook or neck cord connected to multiple harness cords, while each harness cord can actuate a heddle for a warp end. The tie plan defines the mapping.
Why do repeats multiply total ends in this model?
Because the stated convention gives every allocated hook position one corresponding cord in every repeated unit.
Can the result select a Jacquard head?
No. It is a transparent allocation illustration, not a capacity, speed or compatibility recommendation.
Primary and museum references
- US Patent 3,055,400, Neck cords for Jacquards: states that each hook actuates a neck cord to which harness cords for controlled warp threads are attached, with each harness cord operating a heddle.
- US Patent 6,769,458, Guiding harness cords of a Jacquard loom: documents the Jacquard system, harness cords, comber board, heddles, return springs and warp yarns.
- US Patent 6,260,585, Harness cord arrangement for a Jacquard loom: documents harness pattern repetitions and cord guidance through harness boards.
- Science Museum Group, Jacquard Hand Loom: describes the punched-card loop, pins and controlled lifting of warp threads.
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