Textile Calculation: Finding the Length and Weight of Yarn in a Given Length of Cloth

Finding the Length, Hanks, and Weight of Yarn in a Given Length of Cloth

This calculation is used in weaving to find how much weft yarn is required to produce a cloth of a given width, length, and number of picks per inch.

In simple terms, it answers the question:

If I weave this much fabric, how many yards, hanks, or pounds of weft yarn will I consume?

1. What Is Being Calculated?

In woven fabric, there are two main sets of yarns:

Yarn Direction	Meaning
Warp	Lengthwise yarns running along the length of the fabric
Weft	Crosswise yarns inserted across the width of the fabric

This rule is mainly concerned with the weft yarn.

For example, if a fabric is 30 inches wide and has 60 picks per inch, it means that in every one inch length of cloth, there are 60 weft threads, and each weft thread runs across 30 inches of width.

Therefore, the weft yarn required for one inch length of cloth is:

\(30 \times 60 = 1800 \text{ inches of yarn}\)

This means that for every inch of cloth length, the loom consumes 1800 inches of weft yarn.

2. Main Rule

The basic rule is:

\[ \text{Yards of weft yarn in 1 yard of cloth} = \text{Width in inches} \times \text{Picks per inch} \]

In symbolic form:

\[ L = W \times P \]

Where:

• \(L\) = yards of weft yarn in one yard of cloth
• \(W\) = width of cloth in inches
• \(P\) = picks per inch

3. Example: Length of Yarn in One Yard of Cloth

Suppose:

• Width of cloth = 30 inches
• Picks per inch = 60

\[ 30 \times 60 = 1800 \]

Therefore:

One yard of cloth requires 1800 yards of weft yarn.

This may appear surprising at first, but it is correct. Each pick travels across the full width of the cloth, and there are many picks in every inch of cloth length.

4. Example: Length of Yarn in 50 Yards of Cloth

If one yard of cloth requires 1800 yards of weft yarn, then 50 yards of cloth will require:

\[ 1800 \times 50 = 90{,}000 \]

Therefore:

50 yards of cloth require 90,000 yards of weft yarn.

The general formula becomes:

\[ \text{Total yards of yarn} = W \times P \times Y \]

Where:

• \(W\) = width in inches
• \(P\) = picks per inch
• \(Y\) = length of cloth in yards

5. Converting Yarn Length into Hanks

After finding the total yarn length, it can be converted into hanks. Different yarn count systems use different hank lengths.

Yarn System	One Hank Equals
Cotton	840 yards
Worsted	560 yards
Linen	300 yards
Woollen	Varies according to the count system

The formula for hanks is:

\[ \text{Number of hanks} = \frac{\text{Total yards of yarn}}{\text{Yards per hank}} \]

6. Example: Converting 90,000 Yards into Worsted Hanks

For worsted yarn:

\[ 1 \text{ hank} = 560 \text{ yards} \]

Therefore:

\[ \frac{90{,}000}{560} = 160.71 \]

So:

90,000 yards = approximately 160.71 worsted hanks.

7. Example: Converting 90,000 Yards into Cotton Hanks

For cotton yarn:

\[ 1 \text{ hank} = 840 \text{ yards} \]

Therefore:

\[ \frac{90{,}000}{840} = 107.14 \]

So:

90,000 yards = approximately 107.14 cotton hanks.

8. Finding the Weight of Yarn

Once the number of hanks is known, the weight can be found using the yarn count.

In indirect count systems, such as cotton count or worsted count:

\[ \text{Count} = \frac{\text{Number of hanks}}{\text{Weight in pounds}} \]

Therefore:

\[ \text{Weight in pounds} = \frac{\text{Number of hanks}}{\text{Count}} \]

9. Example: Weight of 20s Worsted Yarn

We have already found:

\[ 160.71 \text{ worsted hanks} \]

If the yarn count is 20s:

\[ \frac{160.71}{20} = 8.035 \]

Therefore:

The weight of 20s worsted yarn required is approximately 8.04 lb.

10. Example: Weight of 20s Cotton Yarn

We have already found:

\[ 107.14 \text{ cotton hanks} \]

If the yarn count is 20s:

\[ \frac{107.14}{20} = 5.357 \]

Therefore:

The weight of 20s cotton yarn required is approximately 5.36 lb.

11. Complete Formula Set

Let:

• \(I\) = width of cloth in inches
• \(P\) = picks per inch
• \(Y\) = length of cloth in yards
• \(N\) = yards per hank
• \(C\) = yarn count

Total Yarn Length

\[ \text{Total yarn length in yards} = I \times P \times Y \]

Number of Hanks

\[ \text{Hanks} = \frac{I \times P \times Y}{N} \]

Weight of Yarn

\[ \text{Weight} = \frac{I \times P \times Y}{N \times C} \]

12. Practical Example in One Table

Suppose the following details are known:

Item	Value
Cloth width	30 inches
Picks per inch	60
Cloth length	50 yards
Yarn count	20s
Cotton hank length	840 yards
Worsted hank length	560 yards

Step-by-Step Calculation

Calculation	Cotton	Worsted
Total yarn length	90,000 yards	90,000 yards
Hanks	\(90{,}000 / 840 = 107.14\)	\(90{,}000 / 560 = 160.71\)
Weight for 20s yarn	\(107.14 / 20 = 5.36\) lb	\(160.71 / 20 = 8.04\) lb

Therefore, for the same cloth:

• If the yarn is 20s cotton, the required weight is about 5.36 lb.
• If the yarn is 20s worsted, the required weight is about 8.04 lb.

The difference arises because cotton and worsted systems define hank length differently.

13. Important Limitation: No Allowance for Shrinkage or Waste

The formula gives the theoretical yarn requirement. It does not include practical allowances such as:

• weaving waste,
• loom waste,
• selvedge waste,
• shrinkage,
• crimp,
• take-up,
• pattern effect,
• difference between reed width and finished width,
• yarn contraction,
• processing loss.

In actual weaving, the real yarn requirement will usually be higher than the theoretical value.

For example, if the theoretical requirement is 90,000 yards and a 5% allowance is added:

\[ 90{,}000 \times 1.05 = 94{,}500 \]

Therefore, the practical yarn requirement becomes:

94,500 yards

Similarly, for weight:

\[ 5.36 \times 1.05 = 5.63 \text{ lb} \]

So the practical cotton yarn requirement becomes approximately:

5.63 lb

14. Why No Fixed Allowance Is Given

A fixed wastage percentage cannot be applied universally because wastage and shrinkage depend on many variables.

Factor	Effect
Yarn type	Cotton, wool, silk, and synthetic yarns behave differently
Yarn twist	High-twist yarn may contract differently
Fabric structure	Plain, twill, satin, dobby, and jacquard structures consume yarn differently
Picks per inch	Higher picks may increase crimp and take-up
Loom type	Handloom, powerloom, rapier, air-jet, and shuttle looms differ
Width in reed vs finished width	Fabric may contract after weaving
Finishing process	Washing, dyeing, calendaring, mercerising, and sanforising affect dimensions
Selvedge construction	Extra yarn may be consumed at the edges

The best practical method is:

First calculate the theoretical yarn requirement, then add an allowance based on experience with that yarn, loom, fabric structure, and finishing route.

15. Difference Between Warp and Weft Calculation

For warp, the usual calculation is:

\[ \text{Total warp length} = \text{Number of ends} \times \text{Length of warp} \]

This is because warp threads run lengthwise.

But for weft, the yarn runs across the width of the cloth. Therefore, we calculate:

\[ \text{Total weft length} = \text{Width} \times \text{Picks per inch} \times \text{Length} \]

Warp Calculation	Weft Calculation
Based on total number of ends	Based on picks per inch
Threads run along fabric length	Threads run across fabric width
Length of each warp end is known	Length of each pick equals cloth width
Formula uses ends × length	Formula uses width × picks × length

16. Practical Use in Weaving and Merchandising

This calculation is useful for:

• estimating weft yarn consumption,
• costing fabric,
• planning yarn purchase,
• using up leftover yarn lots,
• deciding how many metres or yards can be woven from available yarn,
• checking whether a given yarn stock is enough for production,
• comparing fabric constructions,
• estimating fabric weight,
• planning small batch weaving.

17. Rearranged Formulae

The main formula is:

\[ \text{Weight} = \frac{I \times P \times Y}{N \times C} \]

From this, the formula can be rearranged depending on what needs to be found.

A. To Find Picks per Inch

\[ P = \frac{\text{Weight} \times N \times C}{I \times Y} \]

Use this when the available yarn weight, yarn count, cloth width, and cloth length are known, and the required picks per inch are to be found.

B. To Find Cloth Length

\[ Y = \frac{\text{Weight} \times N \times C}{I \times P} \]

Use this when the available yarn weight, yarn count, cloth width, and picks per inch are known, and the possible cloth length is to be found.

C. To Find Cloth Width

\[ I = \frac{\text{Weight} \times N \times C}{P \times Y} \]

Use this when the available yarn weight, yarn count, picks per inch, and required length are known, and the possible cloth width is to be found.

D. To Find Yarn Count

\[ C = \frac{I \times P \times Y}{N \times \text{Weight}} \]

Use this when the target yarn weight, width, picks per inch, and cloth length are known, and the required yarn count is to be found.

18. Practical Example: How Much Cloth Can Be Woven from Available Yarn?

Suppose:

Item	Value
Available cotton yarn	6 lb
Count	20s cotton
Width	30 inches
Picks per inch	60
Cotton hank length	840 yards

Formula:

\[ Y = \frac{\text{Weight} \times N \times C}{I \times P} \]

Substituting the values:

\[ Y = \frac{6 \times 840 \times 20}{30 \times 60} \]

\[ Y = \frac{100{,}800}{1800} \]

\[ Y = 56 \]

Therefore:

6 lb of 20s cotton yarn can theoretically weave 56 yards of cloth.

If a 5% allowance for waste and shrinkage is added, the practical cloth length will be slightly lower:

\[ 56 \div 1.05 = 53.33 \]

So practically, the weaver may expect about:

53 yards of cloth

19. Essence of the Calculation

To calculate the weft yarn required in a fabric, multiply:

\[ \text{Width} \times \text{Picks per inch} \times \text{Length} \]

This gives the total length of weft yarn. Then convert it into hanks using the hank length for that yarn system. Finally, divide by count to get weight.

Key Formula

\[ \boxed{ \text{Weight} = \frac{ \text{Width in inches} \times \text{Picks per inch} \times \text{Length in yards} }{ \text{Yards per hank} \times \text{Count} } } \]

Practical Note

\[ \boxed{ \text{Actual yarn required} = \text{Theoretical yarn required} + \text{Allowance for waste, shrinkage, and take-up} } \]

In weaving practice, the theoretical calculation should always be adjusted based on experience with the yarn, loom, fabric construction, and finishing process.

Conclusion

This rule is a simple but powerful textile calculation. It connects the geometry of woven cloth with yarn count systems and practical production planning. By knowing the width of the fabric, picks per inch, cloth length, yarn count, and hank length, a weaver or fabric planner can estimate the weft yarn required for production.

However, the calculation should not be treated as the final practical requirement. It gives the theoretical consumption. In actual weaving, shrinkage, crimp, take-up, loom waste, selvedge loss, and finishing effects must also be considered.

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Why You Can’t Make the Same Fabric “Just a Little Finer”

Altering Fabric Weight, Fineness, and Coarseness

In woven cloth, the final character of the fabric depends on several connected factors. These include the yarn count, the number of ends per inch, the number of picks per inch, and the weave or pattern used in the cloth.

The important point is this: you cannot change only one property of a fabric without affecting the others. If the weight, fineness, yarn count, thread density, or weave structure is changed, the character of the fabric will also change in some way.

Technical Note:
A woven fabric is not merely a collection of yarns. It is a balanced structure in which warp, weft, yarn thickness, thread spacing, and weave interlacement work together.

1. Main Factors That Decide Fabric Character

The character of a fabric is mainly controlled by four constructional factors:

Factor	Meaning	Effect on Fabric
Yarn count	Fineness or coarseness of warp and weft yarns	Affects weight, handle, cover, strength, and appearance
Ends per inch (EPI)	Number of warp threads per inch	Controls warp density, cover, compactness, and firmness
Picks per inch (PPI)	Number of weft threads per inch	Controls weft density, surface feel, warmth, and compactness
Weave or pattern	Plain weave, twill, satin, basket weave, rib, etc.	Controls interlacement, surface effect, flexibility, drape, and texture

These four factors are interdependent. If one is changed, the others usually require adjustment. A cloth cannot be made heavier, lighter, finer, or coarser in isolation while keeping everything else exactly the same.

2. Altering Cloth Weight While Keeping the Same Character

When we say that a cloth is to be made heavier or lighter while retaining the same character, we mean that the basic structure and appearance should remain similar.

For example, suppose we have a cotton drill fabric and the buyer says:

“Make the same drill fabric, but heavier.”

The designer cannot simply add more weight without disturbing the structure. To increase weight while maintaining the same type of fabric, both the yarn count and thread density must be adjusted.

A heavier fabric generally requires coarser yarns, suitable adjustment in EPI and PPI, maintenance of the same relative balance between warp and weft, and preservation of the original weave character.

Similarly, if the fabric is made lighter, it will usually become finer. This means finer yarns and lower total material per square yard or square metre.

Practical Note:
If more weight is obtained while preserving the same structure, the cloth generally becomes coarser. If less weight is obtained, the cloth generally becomes finer. But the basic character of the fabric should still remain recognizable.

For example, a heavier twill should still look and behave like a twill. A lighter poplin should still retain the basic poplin character.

3. Why “The Same Fabric, but a Little Finer” Is Not Fully Possible

There is a very practical example. A buyer may say:

“I want exactly the same thing, but a little finer.”

Technically, this is not fully possible. If the cloth is made finer, at least one fabric variable must change. The fabric weight may change, the yarn count may change, the EPI or PPI may change, the warp-weft balance may change, or the weave structure may change.

Therefore, the fabric cannot remain exactly the same and also become finer. At best, the designer can create a fabric that gives the appearance of greater fineness while keeping the weight nearly the same. But even then, some structural adjustment is involved.

4. Fineness Can Be Increased Without Much Change in Weight

Sometimes a fabric can be made to appear finer without reducing its weight in any major way. This is usually done by changing the relation between warp and weft.

For example, the designer may use a finer weft yarn with more picks per inch, or a finer warp yarn with more ends per inch. Another method is to make the cloth closer in one direction so that it appears smoother, denser, and more refined.

This may even improve the fabric. If increased fineness is obtained while maintaining weight, the fabric may become closer, more compact, warmer, and better covered. This is especially useful in clothing fabrics where warmth and compactness are desirable.

5. Difference Between Weight, Fineness, Coarseness, Compactness, and Cover

It is useful to distinguish between these related but different fabric properties.

Property	Meaning	How It Is Usually Changed
Weight	Mass of fabric per unit area	By changing yarn thickness, EPI, PPI, or weave
Fineness	Delicacy or refinement of fabric surface	By using finer yarns, closer setting, or smoother structure
Coarseness	Heavier, thicker, rougher, or more open character	By using coarser yarns or different thread spacing
Compactness	Closeness of yarn arrangement	By increasing EPI or PPI
Cover	How well yarns hide gaps in the fabric	By increasing yarn diameter or thread density

A fabric may be heavy but fine-looking, or light but coarse-looking, depending on how the yarns and structure are arranged.

For example, a fine wool suiting may be heavy but smooth in appearance. A loosely woven coarse cotton fabric may be light but still look rough. Chiffon is light and fine. Canvas is heavy and coarse. Satin may appear fine because of its smooth surface, even if it has considerable weight.

6. Altering Both Weight and Fineness Together

The most difficult problem is to increase both weight and fineness at the same time.

Normally, increasing weight tends to make a fabric coarser, while increasing fineness tends to reduce weight. Therefore, to obtain both increased weight and increased fineness, the designer must alter the relation between warp and weft very carefully.

7. Method: Make One Set of Threads Coarser and the Other Finer

One possible method is to make one yarn system, either warp or weft, much thicker and reduce its quantity proportionately. This creates more space between those threads. Then the other yarn system can be made finer and inserted in much greater quantity.

For example, the warp may be made thicker and more open. Because there is more space between the warp threads, a greater number of fine weft picks can be inserted. The coarse warp contributes to fabric weight, while the closely packed fine weft gives a smoother and finer-looking surface.

In such a construction, the fine weft may cover the coarse warp so completely that the coarse warp is almost hidden from sight.

Design Insight:
A fabric can become heavier because of hidden or partly hidden yarn bulk, while still appearing fine because the visible surface is dominated by finer, closely packed yarns.

8. Reverse Method: Fine Warp and Coarser Weft

The same principle can also be reversed. Instead of using a coarse warp and fine weft, the designer may use a finer warp and a heavier weft, depending on the required surface effect.

This depends on whether the fabric is intended to be warp-faced, weft-faced, compact, soft, firm, decorative, smooth, or textured.

Fabric Effect Required	Possible Construction Approach
Fine surface with weight	Use fine visible yarns with hidden heavier yarn contribution
Dense warm fabric	Increase picks or ends in one direction
Smooth warp-faced fabric	Use more warp cover and suitable weave
Weft-faced compact fabric	Use more weft cover and higher PPI
Rich decorative surface	Use supplementary warp or supplementary weft
Heavier saree feel	Use denser yarn insertion, zari, or heavier ground construction

9. Importance of Weave Structure

The method described above has limits. If the difference between warp and weft becomes too great, the fabric may become unsatisfactory.

For example, if the warp is too thick and the weft is too fine, or if the weft is too thick and the warp is too fine, problems may arise. The fabric may show poor interlacement, uneven surface, weak construction, poor handle, excessive cover in one direction, weaving difficulty, distorted pattern, or poor dimensional stability.

The weave structure must support the relationship between the yarns. A plain weave has many interlacements and may not easily allow heavy packing of threads. A twill or satin has fewer interlacements and may allow more yarn packing, but it will also change the appearance and performance of the cloth.

Common Confusion:
Changing yarn count or thread density is not merely a numerical adjustment. It changes the actual behaviour of the fabric: its feel, fall, cover, warmth, strength, and appearance.

10. Practical Example: Cotton Shirting

Suppose a buyer has a cotton shirting fabric and says:

“I want the same fabric, but heavier and finer.”

This request is contradictory unless the construction is changed intelligently. The designer may use finer visible yarn in one direction, higher EPI or PPI, closer cover, or a slightly adjusted weave. The fabric may now look smoother, finer, and more compact while also becoming heavier.

However, it will not be exactly the same fabric. It will be a modified fabric with a similar character.

Existing Fabric	Possible Modified Fabric
Medium yarn count	Finer visible yarn in one direction
Moderate EPI and PPI	Higher EPI or PPI
Ordinary cover	Closer cover
Moderate weight	Increased weight through hidden yarn bulk or compact setting
Same weave	Slightly adjusted weave or density

11. Practical Example: Saree Fabrics

In saree design, this principle is extremely relevant. A buyer may say:

“Make the saree lighter but keep the same fall and richness.”

This is not easy, because richness often comes from yarn density, zari content, fabric cover, border weight, pallu construction, and finishing treatment. If weight is reduced, the saree may lose body, fall, or richness.

Similarly, a buyer may say:

“Make it more premium-looking but do not increase weight.”

This may require finer yarn, better finishing, increased lustre, smoother weave, better colour depth, improved zari quality, or a more compact but lightweight construction.

So the textile designer must decide which fabric property is being altered and which property must be preserved.

12. Central Principle

The central principle can be stated simply:

A woven fabric is a balanced structure. Weight, fineness, coarseness, compactness, yarn count, thread density, and weave are all connected. Changing one property inevitably affects the others.

Therefore, in fabric development, the correct question is not merely:

“Can we make this fabric heavier?”
“Can we make this fabric finer?”

The better question is:

“Which fabric character must be preserved, and which construction variables can be changed?”

13. Simple Summary

When This Is Changed	What Usually Happens
Weight is increased	Fabric generally becomes coarser unless construction is carefully modified
Weight is reduced	Fabric generally becomes finer or lighter in character
Fineness is increased	Weight, density, or warp-weft relation must change
Both weight and fineness are increased	One yarn system may be made heavier while the other becomes finer and more closely packed
Weave structure is changed	The original fabric character may also change

Conclusion

Altering the weight, fineness, or coarseness of a cloth is never a single-variable exercise. A woven fabric is a structural balance between yarn count, ends per inch, picks per inch, warp-weft relation, and weave pattern.

A fabric can be made heavier, lighter, finer, or coarser, but each change has consequences. The skill of the textile designer lies in making these adjustments while preserving the desired character of the cloth as far as possible.

In practical fabric development, especially in apparel, shirting, suiting, sarees, and furnishing fabrics, the most important question is not whether a fabric can be changed, but how much change can be made without losing its identity.

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Textile Calculations: How to change the EPI and PPI when changing counts for a given fabric

To Change from One Count to Another Count and Find Sett or Picks to Retain the Same Character of Cloth

This rule explains how to change the yarn count while keeping the cloth character nearly the same. Here, cloth character means the general feel, firmness, cover, openness, handle, and appearance of the fabric.

If the yarn count is changed from coarse to fine, or from fine to coarse, the sett or picks cannot usually remain the same. The number of ends per inch or picks per inch must be adjusted.

Core Idea

If a finer yarn is used, more ends per inch or picks per inch are required to maintain the same cloth character.

If a coarser yarn is used, fewer ends per inch or picks per inch are required.

For example, 60s yarn is finer than 40s yarn. Therefore, if a fabric made with 40s yarn has 60 ends per inch, the same type of fabric made with 60s yarn will require more than 60 ends per inch.

Why Square Root Is Used

Yarn count does not change linearly with yarn diameter. In the cotton count system, yarn diameter is approximately proportional to the reciprocal of the square root of the count.

\[ \text{Yarn diameter} \propto \frac{1}{\sqrt{\text{Count}}} \]

This means that 60s yarn is not simply 1.5 times thinner than 40s yarn. Its diameter changes according to the square root of the count ratio. Therefore, when the count changes, the sett or picks must also be adjusted according to the square root relationship.

Rule

The rule may be expressed as:

\[ \frac{\sqrt{\text{Given Count}}}{\sqrt{\text{Required Count}}} = \frac{\text{Given Sett}}{\text{Required Sett}} \]

Or, more practically:

\[ \text{Required Sett} = \text{Given Sett} \times \frac{\sqrt{\text{Required Count}}}{\sqrt{\text{Given Count}}} \]

Where:

• Given Count = original yarn count
• Required Count = new yarn count
• Given Sett = original ends per inch or picks per inch
• Required Sett = new ends per inch or picks per inch

Example

Suppose the original fabric has:

• Yarn count = 40s
• Sett = 60 ends per inch

Now, the fabric is to be made using 60s yarn. The required sett is calculated as follows:

\[ \text{Required Sett} = 60 \times \frac{\sqrt{60}}{\sqrt{40}} \]

\[ = 60 \times \sqrt{\frac{60}{40}} \]

\[ = 60 \times \sqrt{1.5} \]

\[ = 60 \times 1.225 \]

\[ = 73.5 \]

Therefore, the required sett is approximately:

\[ 73.5 \text{ ends per inch} \]

In practical weaving terms, this may be rounded to:

\[ 73 \text{ or } 74 \text{ ends per inch} \]

Meaning in Simple Textile Language

A fabric made with 40s yarn and 60 ends per inch has a certain closeness and cover. If the yarn is changed to 60s, the yarn becomes finer. If the sett remains at only 60 ends per inch, the cloth will become more open, lighter, and less covered.

To preserve the same character, the sett is increased to around 73–74 ends per inch.

So:

\[ 40s \text{ yarn at } 60 \text{ sett} \]

is approximately equivalent in character to:

\[ 60s \text{ yarn at } 73.5 \text{ sett} \]

Rule 2

Rule 2 gives the same answer in another form. It may be expressed as:

\[ \frac{\text{Given Count}}{\text{Required Count}} = \frac{\text{Given Sett}^{2}}{\text{Required Sett}^{2}} \]

Or:

\[ \text{Required Sett}^{2} = \frac{ \text{Required Count} \times \text{Given Sett}^{2} }{ \text{Given Count} } \]

Using the same example:

\[ \text{Required Sett}^{2} = \frac{60 \times 60^{2}}{40} \]

\[ = \frac{60 \times 3600}{40} \]

\[ = 5400 \]

\[ \text{Required Sett} = \sqrt{5400} \]

\[ = 73.5 \]

Therefore, both Rules give the same answer.

Applying the Same Rule to Picks

The same method applies to picks per inch.

Suppose a cloth has:

• 40s weft
• 56 picks per inch

Now suppose 60s weft is to be used. The required picks are:

\[ \text{Required Picks} = 56 \times \frac{\sqrt{60}}{\sqrt{40}} \]

\[ = 56 \times 1.225 \]

\[ = 68.6 \]

So the new picks per inch would be about:

\[ 69 \text{ picks per inch} \]

Changing from Finer Yarn to Coarser Yarn

The reverse is also true. Suppose the cloth has:

• 60s yarn
• 72 ends per inch

Now suppose 40s yarn is to be used. The required sett is:

\[ \text{Required Sett} = 72 \times \frac{\sqrt{40}}{\sqrt{60}} \]

\[ = 72 \times 0.816 \]

\[ = 58.75 \]

So the new sett would be approximately:

\[ 59 \text{ ends per inch} \]

Because 40s yarn is coarser, fewer ends are needed to give a similar cloth character.

Summary Table

Original Yarn	Original Sett	New Yarn	New Sett Approx.	Result
40s	60 EPI	60s	73.5 EPI	Similar cover and firmness
60s	72 EPI	40s	58.8 EPI	Similar cover and firmness
30s	48 EPI	40s	55.4 EPI	Finer yarn needs higher sett
80s	96 EPI	60s	83.1 EPI	Coarser yarn needs lower sett

Practical Interpretation

This rule is useful when a manufacturer wants to change yarn count but still produce a fabric that looks and feels similar. For instance, if 40s yarn becomes unavailable and 60s yarn is used instead, the sett or picks must be increased to compensate for the finer yarn.

Similarly, if a coarser yarn is used, the sett or picks must be reduced, otherwise the fabric may become too tight, heavy, stiff, or difficult to weave.

Important Caution

This rule gives an approximate theoretical sett. In actual weaving, the final sett may need adjustment because cloth character also depends on several practical factors, such as yarn twist, fibre quality, weave structure, reed space, crimp, loom tension, finishing shrinkage, desired cover, and whether the cloth is plain, twill, satin, drill, poplin, or another weave.

Therefore, this rule should be treated as a starting point, not as an absolute final production value.

In One Simple Sentence

When changing from one yarn count to another, adjust the sett or picks in proportion to the square root of the count ratio so that the fabric retains nearly the same appearance, cover, and character.

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Are Brocades same as Jacquards ?

Understanding Brocade: Fabric, Technique, and Jacquard Confusion

There is considerable confusion around the word brocade because it is used in two different ways. In everyday textile language, brocade usually means a rich woven fabric with elaborate, raised, embossed, or ornamental patterns. People identify brocade by its appearance: shining motifs, floral designs, metallic yarns, heavy texture, and a sense of luxury.

However, from a strict technical point of view, brocade is not simply one weave structure. It is better understood as a method of creating decorative patterns in woven fabric, where extra figuring threads are introduced to form motifs on the surface. These patterns may appear raised, floating, embossed, or richly textured.

So, the word “brocade” today often describes what the fabric looks like, while historically it also referred to how the pattern was produced.

Brocade as Appearance vs Brocade as Technique

The appearance of brocade has remained relatively stable over time. Whether we look at old handwoven Banarasi textiles or modern jacquard-woven sarees, the visual effect is often similar: elaborate motifs, floral vines, butas, borders, pallus, and ornamental surfaces.

But the technology behind producing that appearance has changed dramatically.

Earlier, brocade required very high levels of skill. The pattern had to be interpreted, counted, lifted, and woven manually. Today, the same kind of visual effect can be produced using mechanical or computerized jacquard systems. This means that the look of brocade has survived, but the labour, skill system, and production method have changed.

The Earliest Indian Method: Gethua

In the Indian context, one of the earliest methods of creating figured brocade patterns was the Gethua technique. In this method, a naksha, or graphed design pattern, was placed below the warp. The naksha acted like a visual guide for the weaver.

The weaver followed this graph manually and inserted patterning threads at the required points. This was a slow and highly skilled process. Each motif had to be understood through counting and careful placement. The pattern did not emerge automatically; it was created by the intelligence and memory of the artisan.

In this sense, Gethua was not merely weaving. It was a form of manual coding of design into cloth.

Jhala and the Draw Loom

Later, brocade weaving became more structured through the use of hand-operated draw looms, especially using the Jhala technique. In this system, the complex pattern was created with the help of a drawboy.

The master weaver worked at the loom, while the drawboy helped lift selected warp threads according to the pattern. This allowed more complex and repeatable designs than purely manual pattern insertion.

The Jhala system required coordination between:

• the designer or naksha maker,
• the master weaver,
• the drawboy,
• and the loom mechanism.

This system allowed richly patterned textiles to be produced, but it was still labour-intensive and dependent on highly trained artisans. The drawboy had to know which threads to lift at which moment. The master weaver had to control the rhythm, yarns, motifs, and fabric structure.

So, brocade production at this stage was still deeply linked to human skill, memory, and coordination.

The Jacquard Revolution

The introduction of the Jacquard loom in the early nineteenth century transformed the production of patterned textiles. The Jacquard mechanism worked through punched cards. Each card represented one row or line of the design.

Where there was a hole in the card, a thread could be lifted or allowed to pass. Where there was no hole, the thread remained down. In this way, the pattern was encoded into a series of cards.

This was revolutionary because the design no longer had to be manually interpreted by a skilled drawboy. The pattern was now stored mechanically.

This is why the Jacquard loom is often described as an early form of computing. It used a binary-like logic: hole or no hole, lift or do not lift. The punched card system later influenced early computing technologies.

In textile terms, the Jacquard loom changed brocade weaving in three major ways:

1. It reduced dependence on highly skilled pattern manipulators.
2. It made complex patterns faster and more repeatable.
3. It allowed richly patterned fabrics to be produced at lower cost and in greater quantities.

This did not mean that skill disappeared completely. Designing, card punching, loom setting, yarn selection, and finishing still required expertise. But the nature of skill shifted from manual pattern lifting to mechanical preparation and loom operation.

Why Jacquard Made Older Looms Obsolete

Before Jacquard, producing elaborate brocade involved slow manual or semi-manual control of warp threads. The Jacquard mechanism automated this process. Once a pattern was punched into cards, it could be repeated again and again.

This made older hand-operated patterning systems less economical for many kinds of fabrics. Richly patterned textiles that once required a master weaver and drawboy could now be made faster by less specialized operators.

As a result, many old looms became commercially obsolete, especially for regular production of patterned fabrics. They survived in some traditional clusters, museum contexts, high craft production, or revivalist weaving, but the mainstream production of brocades increasingly moved toward jacquard technology.

Dobby Loom and Its Difference from Jacquard

The passage also mentions the Dobby loom, which is another important patterned weaving technology. A Dobby loom can create repeated geometric or simple patterns by controlling groups of warp threads.

However, Dobby is more limited than Jacquard.

A Dobby loom is suitable for smaller, simpler, repetitive designs such as checks, stripes, small geometric textures, and certain structured motifs. It is cheaper and easier to run than a Jacquard system. That is why it replaced Jacquard in simpler patterned fabrics where the full complexity of Jacquard was not needed.

But Dobby patterns are limited because they work over a restricted number of threads. The passage states that Dobby patterns are generally limited to designs stretching over about 40 threads, whereas Jacquard designs are virtually limitless in comparison.

This means:

Technology	Best Suited For
Dobby	Simpler, smaller, repeated patterns
Jacquard	Complex, large-scale, detailed, pictorial, or elaborate patterns

Therefore, for rich brocades with complex floral, paisley, architectural, or figurative designs, Jacquard remains the more powerful system.

The Important Distinction: Brocade and Jacquard Are Not the Same

This is the most important conceptual point:

Almost all modern brocades are jacquards, but not all jacquards are brocades.

This means that most modern brocade fabrics are woven using a Jacquard mechanism. However, Jacquard is only a loom-control technology. It can be used to make many kinds of patterned textiles, not just brocade.

A Jacquard loom can produce:

• brocade,
• damask,
• tapestry-like fabrics,
• figured silks,
• upholstery fabrics,
• labels,
• decorative borders,
• complex saree pallus,
• and many other patterned textiles.

So, Jacquard refers to the technology, while brocade refers to a type of rich figured fabric appearance and structure.

This is similar to saying that a printer can print a photograph, a poster, or a book page. The machine is the same, but the output is different.

Brocade vs Jacquard in Simple Terms

Term	Meaning
Brocade	A richly patterned woven fabric, often with raised or embossed motifs
Jacquard	A loom mechanism used to control individual warp threads and produce complex patterns
Dobby	A simpler loom mechanism for small, repetitive patterns
Gethua	Early Indian hand-patterning method using a naksha under the warp
Jhala	Traditional drawloom-based brocade technique involving a master weaver and drawboy
Naksha	Graphed design or pattern guide used in traditional weaving

Why the Confusion Happens

The confusion happens because the consumer sees the final fabric, not the loom technology. A customer may call any rich patterned saree “brocade.” A trader may call a jacquard saree “brocade” because it has ornamental motifs. A textile historian, however, may ask whether the fabric is hand-patterned, drawloom woven, jacquard woven, supplementary weft brocade, damask, tapestry, or something else.

So, the same fabric may be described differently depending on whether the speaker is a consumer, merchant, weaver, designer, historian, or textile technologist.

A Better Way to Understand Brocade

A more precise way to understand brocade is:

Brocade is not merely a fabric name. It is a decorative woven effect created by patterning threads, historically produced by hand techniques such as Gethua and Jhala, and now most commonly produced through Jacquard technology.

This definition allows us to respect both the older craft tradition and the modern industrial reality.

It also prevents us from making the mistake of using “brocade” and “jacquard” as exact synonyms.

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