Convert one yarn count into its equivalent across five systems instantly.
Formula
The canonical unit is Tex. Denier = Tex × 9 · Dtex = Tex × 10 · Nm = 1000 ÷ Tex · Ne = 590.5 ÷ Tex (pure synthetic). Direct systems (tex/denier/dtex) are mass-based — a higher number means a coarser yarn; indirect systems (Nm/Ne) are length-based — a higher number means a finer yarn.
150 denier = 150 ÷ 9 = 16.67 tex (equivalent to 60 Nm). Denier is the weight of 9,000 m, tex of 1,000 m of yarn.
What is the difference between denier and dtex?
Denier is the gram weight of 9,000 m, dtex of 10,000 m. Conversion: dtex = denier × 1.111.
What are direct and indirect count systems?
Direct systems (tex, denier, dtex) measure weight per length — a higher value means a coarser yarn. Indirect systems (Nm, Ne) measure length per weight — a higher value means a finer yarn.
Why is the Ne constant 590.5 for polyester?
The Ne–Tex constant is 590.5 for pure synthetics; cotton uses 583.1 because of moisture. This tool assumes 590.5 for polyester.
From weight and width, find a roll’s metres ↔ kilograms.
Formula
Weight per metre (g) = GSM × width(m). Weight (kg) = length(m) × GSM × width(m) ÷ 1000. Length (m) = weight(kg) × 1000 ÷ (GSM × width). Enter either length or weight; the other is computed.
Worked example
180 g/m², 1.5 m width, 1000 m → per metre 180 × 1.5 = 270 g; total 1000 × 270 ÷ 1000 = 270 kg. Conversely 270 kg → 270 × 1000 ÷ 270 = 1000 m.
Frequently asked questions
How many metres is 1 kg of fabric?
Length = 1 × 1000 ÷ (GSM × width). E.g. at 180 g/m² and 1.5 m width: 1000 ÷ 270 = 3.70 m/kg.
How do I find roll weight?
Weight (kg) = length × GSM × width ÷ 1000. Weight per metre = GSM × width (g).
From total denier (or dtex) and filament count, find the fineness of a single filament and see its microfibre/normal/coarse class.
Formula
DPF = total denier ÷ filament count · dtex/filament = total dtex ÷ filament count. Classes: < 1 denier/filament (≈ < 1.1 dtex/filament) is microfibre, 1–2 is fine, 2–7 is normal, ≥ 7 is coarse. Example: 150/48 → 150 ÷ 48 = 3.125 denier/filament.
Worked example
Yarn 150/48: 150 ÷ 48 = 3.125 denier/filament. On the dtex side 150 denier = 166.7 dtex, and 166.7 ÷ 48 = 3.47 dtex/filament. Since 3.125 sits in the 2–7 normal range, the yarn is a normal-fineness filament. Split the same 150 denier across 144 filaments and 150 ÷ 144 = 1.04 denier/filament → inside the fine band (1–2), bordering microfibre.
Frequently asked questions
What does 150/48 mean?
The first number is the total fineness (150 denier), the second is the filament count in the bundle (48). Dividing gives the fineness per filament: 150 ÷ 48 = 3.125 denier/filament. Spreading the same 150 denier over more filaments (e.g. 150/144) makes each filament finer and softens the fabric.
How many denier per filament is microfibre?
Microfibre is a filament finer than 1 denier per filament (about < 1.1 dtex/filament). For example 100/144 → 100 ÷ 144 = 0.69 denier/filament is microfibre; 150/48 → 3.125 is not.
How does DPF affect the fabric?
Low DPF (fine, many filaments) gives a softer hand, better cover and drape, and a more matte look. High DPF (coarse, few filaments) gives a firmer hand and a fuller, more durable structure. With total denier fixed, raising the filament count lowers DPF.
What if I enter dtex instead of total denier?
The logic is identical: dtex/filament = total dtex ÷ filament count. Denier and dtex relate by dtex = denier × 1.111; the microfibre threshold reads as < 1 in denier and ≈ < 1.1 in dtex.
From a POY denier and draw ratio, find the estimated DTY denier after texturing and the theoretical mass yield.
Formula
DTY denier ≈ POY denier ÷ draw ratio (ESTIMATED — the real value depends on the machine and texturing parameters). Typical draw ratio 1.5–1.7. Theoretical yield (%) = (1 − waste ÷ 100) × 100. Drawing thins the filament by stretching it; since mass is conserved, denier drops in proportion to the draw ratio. Reference constant: 250D ÷ 1.6 ≈ 156D.
Worked example
250 denier POY at a draw ratio of 1.6 → estimated DTY denier = 250 ÷ 1.6 = 156.25 ≈ 156D. With 4% waste entered, theoretical yield = (1 − 4 ÷ 100) × 100 = 96%; so 1,000 kg of POY ≈ 960 kg of DTY (denier is unchanged, only mass yield falls). This is an estimate — for exact denier and yield, see the machine report.
Estimated — indicative value.
Frequently asked questions
What is the difference between POY and DTY?
POY (Partially Oriented Yarn) is the unstable intermediate spun at high speed from the melt but not fully drawn. DTY (Draw Textured Yarn) is made by simultaneously drawing the POY (it gets finer) and texturing it (it gains crimp/bulk) on a draw-texturing machine, yielding a yarn ready for weaving and knitting.
How does draw ratio change the denier?
Drawing stretches and lengthens the filament; because mass is conserved, fewer grams fall on the same length and the denier decreases. DTY denier ≈ POY denier ÷ draw ratio. E.g. drawing 250D POY at 1.6 gives ≈ 156D DTY; at 1.5 it gives ≈ 167D, at 1.7 ≈ 147D.
What is a typical draw ratio?
For standard polyester DTY the draw ratio is usually in the 1.5–1.7 range; it is set on the machine according to yarn type, POY orientation and the target DTY denier.
Is this calculation exact?
No, it is an estimate. Actual DTY denier and yield vary with machine, temperature, tension, waste and orientation differences. Use the result for pre-planning and rely on the production/machine report for exact figures.
Compute (set × Tex ÷ 10) for warp and weft separately, multiply each by the crimp allowance, then add them. This gives an estimated GSM from construction; the exact weight is confirmed by weighing a sample per ISO 3801.
How does thread density affect weight?
With yarn count held constant, weight scales linearly with set: doubling warp or weft density doubles that direction’s weight contribution. A denser construction means a heavier fabric.
Why add a crimp allowance?
Yarn waves over and under as it interlaces, so it travels farther than the fabric dimension; that extra length adds weight. The 6% default is a typical estimate — higher for tight weaves, lower for open ones.
Why is the result an estimate?
The calculation cannot know actual crimp, finishing gain or loss, or moisture regain; these are approximated with a default crimp allowance. For sample approval, rely on the ISO 3801 weighed result.
Without unwinding, measure the outer diameter, the inner core (tube) diameter and the single-layer fabric thickness in mm; plug them into L = π × (D_outer² − D_inner²) ÷ (4 × thickness) and divide by 1000 to convert to meters. The result is an estimate based on a uniform-spiral assumption.
Why is this result an estimate?
The formula assumes a perfect spiral wind and constant thickness. In practice winding tension, loft, moisture and fabric compression shift the figure, so expect about ±5-10% and unwind to measure when an exact length is required.
How do I measure thickness accurately?
Measure the thickness of a single fabric layer with a thickness gauge (micrometer), under a standard load if possible. Thickness is inversely proportional in the formula, so halving it doubles the estimated length — small errors here matter.
What if I ignore the inner core diameter?
The inner core (cardboard tube) holds no fabric; treating its diameter as zero overstates the length. In the example, ignoring the core gives ≈141.4 m versus the true estimate of 125.7 m — roughly 12% high.
From construction, width, order length and waste percentage, find an order’s total yarn requirement (kg, waste included).
Formula
Yarn per metre (g) = (warp + weft g/m²) × width(m). Total yarn (kg) = yarn per metre(g) × order_m ÷ 1000 × (1 + waste). Enter waste as a decimal: 4% → 0.04. Warp and weft g/m² come from the fabric construction (weight calculator).
Worked example
Warp 95 g/m² + weft 85 g/m² = 180 g/m²; width 1.5 m; order 1,000 m; waste 4% (0.04). Yarn per metre = 180 × 1.5 = 270 g. Total = 270 × 1,000 ÷ 1,000 × (1 + 0.04) = 270 × 1.04 = 280.8 kg. The no-waste figure is 270 kg; 4% waste adds 10.8 kg.
Estimated — indicative value.
Frequently asked questions
How much yarn does a fabric need?
Total yarn (kg) = (warp + weft g/m²) × width × order_m ÷ 1000 × (1 + waste). E.g. 180 g/m², 1.5 m width, 1,000 m, 4% waste: 270 × 1,000 ÷ 1,000 × 1.04 = 280.8 kg.
What waste percentage should I use?
Waste covers knitting/weaving loss, selvedge, tie-in and sampling. Typical ranges are 3–6% for knits and 5–10% for wovens; use your own production data or our RFQ team for an exact figure.
Where do I get the warp and weft g/m²?
From the fabric construction: the mass per square metre of each yarn system. Their sum is the fabric’s total weight (g/m²), listed per fabric in our TDS sheets.
Is the result exact or estimated?
The result is estimated: actual g/m² measurement tolerance, shrinkage/finishing and the real waste rate all shift it. For a binding quantity, work from the TDS weight and an agreed waste figure.
First, total ends = density (ends/cm) × usable width (cm). Then warp yarn (kg) = total ends × beam length (m) × Tex ÷ 1,000,000, multiplied by (1 + take-up + waste). Get Tex from dtex ÷ 10.
Why add take-up and waste?
Take-up is the warp shortening as it interlaces during weaving; waste is yarn lost in warp preparation and weaving (knotting, breaks, beam head and tail). Both are added as allowances on top of the net yarn, otherwise the beam runs short.
I use denier yarn — how do I convert to Tex?
Tex = denier ÷ 9. E.g. 150 denier = 16.67 Tex. For dtex, Tex = dtex ÷ 10; 167 dtex = 16.7 Tex. The formula always takes Tex because the ÷ 1,000,000 constant is Tex-based (g per 1000 m).
Should I enter usable width or reed width?
Enter the actual warp width wound on the beam — the usable width in the reed — not the finished fabric width. Warp is wider because of shrinkage and selvedge allowances.
From a target output and waste rate, find the input quantity you must start the process with.
Formula
Input = output ÷ (1 − waste). Here waste is the fraction of the input lost in the process (percent ÷ 100). Efficiency = 1 − waste. Waste is the mass lost, efficiency is the usable remainder; together they make 1 (i.e. 100%).
Waste rate = quantity lost ÷ input started. For example, if 86.96 kg is lost from 1,086.96 kg of input, waste = 86.96 ÷ 1,086.96 = 0.08, i.e. 8%. To find the required input, work it backwards: input = output ÷ (1 − waste).
Why not just multiply output by (1 + waste)?
Because waste is a fraction of the input, not the output. Adding 8% to the output under-plans the input. The correct step is to divide output by (1 − waste): 1,000 ÷ 0.92 = 1,086.96 kg; 1,000 × 1.08 = 1,080 kg falls short.
Are waste and efficiency the same thing?
No, they complement each other. Efficiency = 1 − waste. An 8% waste means 92% efficiency. Input can also be written as output ÷ efficiency: 1,000 ÷ 0.92 = 1,086.96 kg.
How do losses combine across multiple process steps?
Steps combine by multiplication, not addition. For two successive 5% and 3% losses, total efficiency = 0.95 × 0.97 = 0.9215, i.e. 7.85% total waste. Input = output ÷ 0.9215.
Turn dry weight into the invoiced commercial weight using the fibre’s commercial moisture regain.
Formula
Commercial weight = dry weight × (1 + R). R = commercial (legal) moisture regain. For a blend, R is the weighted average of the fibre regains by their proportions. Commercial regains: Polyester 0.4% · Nylon 4.5% · Cotton 8.5% · Viscose 12% · Wool 16.5%.
Worked example
100 kg dry cotton → 100 × (1 + 0.085) = 108.5 kg commercial weight. 100 kg dry polyester → 100 × (1 + 0.004) = 100.4 kg. Blend example — 65% polyester / 35% cotton: weighted R = 0.65 × 0.004 + 0.35 × 0.085 = 0.032; 100 kg dry yarn → 103.24 kg commercial weight.
Frequently asked questions
What is commercial weight?
Commercial (conditioned) weight is the contractual, invoiced weight found by adding a fibre’s legal/commercial moisture regain (R) to its bone-dry mass. Formula: commercial = dry × (1 + R). Because moisture varies with air conditions, this standard weight is used instead of a raw weigh-in.
What is the moisture regain of polyester?
Polyester’s commercial moisture regain is 0.4%. It is so low that dry and commercial weight are almost identical: 100 kg dry polyester = 100 × 1.004 = 100.4 kg commercial. For comparison, nylon is 4.5%, cotton 8.5%, viscose 12% and wool 16.5%.
How do I find the invoice weight of a blended yarn?
First compute the weighted-average R from the fibre proportions, then apply commercial = dry × (1 + R). Example: for 65% polyester / 35% cotton, R = 0.65 × 0.004 + 0.35 × 0.085 = 0.032; 100 kg dry yarn → 103.24 kg commercial weight.
What is the difference between dry weight and actual weight?
Dry (bone-dry) weight is the fibre mass with all moisture removed; actual weight is the real, moist weigh-in at delivery. From actual to commercial weight: commercial = actual × (1 + R_commercial) ÷ (1 + R_actual).
From yarn price, weight, width and waste, derive a fabric’s cost per kg and per metre.
Formula
Cost/kg = yarn(₺/kg) × (1 + waste) + processing(₺/kg). Cost/metre = cost/kg × (GSM × width(m) ÷ 1000). Waste is entered as a decimal (5% = 0.05). The $ and € conversion is an estimated value at a build-time fixed rate (1 $ = 32.50 ₺ · 1 € = 35.00 ₺) — these rates are indicative and NOT FINANCIAL ADVICE.
Worked example
Yarn 42 ₺/kg, waste 5% (0.05), processing 8 ₺/kg → cost/kg = 42 × 1.05 + 8 = 44.10 + 8 = 52.10 ₺/kg. At 180 g/m² and 1.5 m width the weight per metre = 180 × 1.5 ÷ 1000 = 0.27 kg/m, so cost/metre = 52.10 × 0.27 = 14.07 ₺/m. At the fixed rate, 52.10 ₺/kg is estimated at ≈ $1.60 ≈ €1.49.
Estimated — indicative value. · Not financial advice · rates are a build-time fixed estimate (1$=32.50₺ · 1€=35.00₺) — request a quote for a current/binding rate.
Frequently asked questions
How is fabric cost per metre calculated?
First cost/kg = yarn(₺/kg) × (1 + waste) + processing(₺/kg). Then cost/metre = cost/kg × (GSM × width ÷ 1000). E.g. 52.10 ₺/kg, 180 g/m², 1.5 m width → 52.10 × 0.27 = 14.07 ₺/m.
How should I enter waste?
Enter waste as a percentage; the tool converts it to a decimal (5% → 0.05) and multiplies yarn cost by (1 + waste). Waste covers knitting/weaving, dyeing and finishing losses.
What does the processing cost cover?
The processing ₺/kg field covers per-kg add-ons such as dyeing, finishing and knit/weave conversion charges; it is optional and treated as 0 if left blank.
Are the $ and € figures current?
No; the conversion is an estimated value at a build-time fixed rate (1 $ = 32.50 ₺ · 1 € = 35.00 ₺). For a binding quote with your actual prices and the current rate, send an RFQ.
60 × 40 × 30 cm, 20 kg carton, 40' container. Box volume = 0.6 × 0.4 × 0.3 = 0.072 m³. By volume = floor(67.57 ÷ 0.072) = 938 · By weight = floor(26,600 ÷ 20) = 1,330. Count = min(938, 1,330) = 938 (volume is the limit). Load = 938 × 20 = 18,760 kg. Fill ≈ 100% (theoretical). Real stowage drops this because of pallet gaps and orientation.
Estimated — indicative value.
Frequently asked questions
How many rolls fit in a 40' container?
It depends on the roll/carton size and weight. A 40' container offers ≈ 67.57 m³ and a 26,600 kg payload limit; the tool divides those by your box volume and weight, then takes the smaller. For a 0.072 m³, 20 kg carton that is an estimated 938 units.
What is the difference between a 20' and a 40'?
A 20' container carries ≈ 33.14 m³ / 28,200 kg, a 40' ≈ 67.57 m³ / 26,600 kg. The 40' gives roughly double the volume but a similar payload limit — so for heavy cartons the binding limit is often weight, not volume.
Why choose a 40' HC?
A 40' HC (High Cube) is 30 cm taller than a standard 40' (2.69 m interior height), giving ≈ 76.04 m³. It is preferred for light but bulky fabric rolls because it allows one more stacking layer.
Why is the result estimated?
The calculation assumes simple stacking; actual loading varies with pallet size, carton orientation, stacking pattern and door clearance. Contact us for an exact load plan and shipping quote.
rPET Recycling Savings Calculator — Estimated Energy & Bottle Equivalent
From recycled-content share, shows the estimated energy saving versus virgin polyester and the equivalent number of PET bottles.
Formula
This is an INDICATOR, not a precise LCA. Estimated energy saving (%) = recycled share × 0.59 (rPET uses ~59% less energy than virgin polyester — source: EEA 2021). Recycled mass (kg) = product weight(kg) × recycled share. PET bottle equivalent = recycled mass(g) ÷ bottle unit weight(g) (default ~10 g).
Worked example
100 kg product, 70% recycled content → estimated energy saving = 0.70 × 0.59 = 0.413 ≈ 41% (estimated). Recycled mass = 100 × 0.70 = 70 kg = 70,000 g. Assuming 10 g per bottle, PET bottle equivalent = 70,000 ÷ 10 = 7,000 bottles. GRS context: 70% content clears the ≥50% threshold, so it qualifies for GRS certification.
Estimated — indicative value. · Indicator; not a precise LCA. Source: EEA 2021 (~59% less energy).
Frequently asked questions
How much energy does rPET save?
rPET uses roughly 59% less energy than virgin polyester (source: EEA 2021). The saving scales with recycled share: 100% rPET ≈ 59%, 50% rPET ≈ 30% estimated energy saving. This is an indicator; an exact figure requires a product-specific LCA.
What is the minimum recycled share for GRS?
For a GRS (Global Recycled Standard) label, at least 50% of the product weight must be certified recycled content. Content of 20–49% qualifies only under RCS (Recycled Claim Standard). Confirm the exact threshold and verification with your certification body.
How is the PET bottle equivalent calculated?
Divide the recycled mass in grams by the bottle unit weight. As a standard 0.5 L PET bottle is ~10 g, 70,000 g of rPET ≈ 7,000 bottles. Bottle weight varies by brand; update the field with your measured value.
Is this result an official carbon or LCA claim?
No. This tool gives an INDICATOR based on EEA 2021’s ~59% energy difference; it excludes the product’s transport, dyeing and finishing impacts. Verify with a certified, product-specific LCA before using it in marketing or reporting.
Care Label Generator — ISO 3758 wash instructions & symbol text
Generate ISO 3758 standard care instruction text from care selections.
Formula
Output orders the 5 care axes in the fixed ISO 3758 reading sequence: Washing → Bleaching → Drying → Ironing → Professional care. Each selection maps to the standard’s generic definition (e.g. tub + temperature, triangle = bleach, square = drying, iron = plate temperature, circle = professional care). Safe polyester default: 40 °C gentle · no bleach · tumble dry low · warm iron (110 °C). IMPORTANT: GINETEX/ISO symbol graphics are licensed for commercial use — this tool returns only the TEXT definition and embeds no unlicensed symbol artwork.
Worked example
Input: 40 °C, no bleach, tumble dry low, low iron (110 °C), no dry clean. Output text: “Wash at 40 °C · Do not bleach · Tumble dry low · Iron low (max 110 °C) · Do not dry clean”.
ISO 3758 text; GINETEX symbol artwork not printed unlicensed.
Frequently asked questions
How do you wash polyester?
Wash polyester at 30–40 °C on a gentle/delicate cycle; heat above 110 °C can deform the fibre. Tumble dry on low, and if ironing is needed use the lowest (110 °C) setting with a press cloth. Never use chlorine bleach.
What do care symbols mean?
There are five base symbols: tub=washing, triangle=bleaching, square=drying, iron icon=ironing, circle=professional care. A bar under a symbol marks gentleness, a dot or number inside marks temperature, and a cross over it means “do not”. This tool returns each symbol’s ISO 3758 text definition.
Does this tool output GINETEX symbol graphics?
No. GINETEX/ISO 3758 symbol artwork is trademark-protected and requires a licence for commercial labels. This tool produces only the standard’s official text definition and a human-readable care instruction; source the licensed symbol set from your supplier or GINETEX for the printed label.
Does the order of symbols on the label matter?
Yes. ISO 3758 defines a fixed reading order: washing → bleaching → drying → ironing → professional care. This tool always emits output in that order so the label stays internationally readable.
Colour Matcher — nearest Fersan dye from HEX/RGB (ΔE2000)
Give a HEX or RGB colour and it returns the closest colour from Fersan’s in-house dye library by ΔE2000, plus a closeness score.
Formula
Step 1: sRGB → CIELAB (D65 white point: Xn=0.95047 · Yn=1.0 · Zn=1.08883). Step 2: compute CIEDE2000 (ΔE2000) between the input colour’s Lab value and each library dye’s Lab value; the dye with the smallest ΔE is the nearest match. The colour difference is an estimated on-screen value — a binding match is confirmed by a physical lab-dip. IMPORTANT: Pantone TCX values are proprietary and are not embedded; only Fersan’s curated in-house palette is used.
Worked example
Input #1E5AA8 → RGB(30, 90, 168) → CIELAB(L*=38.58 · a*=10.30 · b*=-47.28). The library is ranked by ΔE2000: the nearest match is “Saraçoğlu Blue” #235FA6 → ΔE≈1.80 — close enough to be indistinguishable to the eye in most conditions.
Estimated — indicative value. · On-screen estimate · binding match via lab-dip. No Pantone TCX embedded.
Frequently asked questions
How do I find the equivalent of a HEX colour?
The HEX code is converted to RGB, then to CIELAB under the D65 white point. The ΔE2000 difference is computed against every colour in the Fersan dye library, and the dye with the lowest ΔE is returned as the closest equivalent. The result is a screen-based estimate; it is confirmed by a lab-dip before production.
What is ΔE?
ΔE is a metric that expresses the total difference between two colours as a single number. In CIELAB space the differences on the lightness (L*), red-green (a*) and yellow-blue (b*) axes are combined. The closer to zero, the more identical the colours. This tool uses ΔE2000 (CIEDE2000), which correlates best with human perception.
Which ΔE counts as a “match”?
Common guidance: ΔE ≤ 1.0 is imperceptible to the eye, ΔE 1-2 is very close, and ΔE 2-3.5 is commercially acceptable. The exact limit depends on the colour, end use and customer standard — each brand sets its own tolerance.
Will you give me a Pantone number?
No. Pantone TCX values are proprietary and are not embedded in this tool. Matching is done only against Fersan’s in-house, curated dye library. Share your Pantone reference and we will hit it at the physical lab-dip stage.
A DPP (Digital Product Passport) is a structured, machine-readable record (typically via a QR/data carrier) that presents a product’s identity, material composition, origin, recycled content, chemical compliance, and durability/recyclability in a standard format. It becomes mandatory under the EU Ecodesign (ESPR) framework.
Which data is mandatory in a textile DPP?
This tool covers the minimum themes: fibre composition (total 100%), recycled content (%), country of origin, chemical compliance (REACH/SVHC note), and durability/recyclability. Certificates (GRS/OEKO-TEX/RCS) are supporting. The exact field list will be set by the textile delegated act.
When does a DPP become mandatory?
The ESPR framework regulation is in force; textiles are a priority product group, and requirements phase in via delegated acts across 2026–2027. For exact dates, the official EU regulation governs. This tool is informational, not compliance advice.
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