Textile & Fashion World

Den = 9xTex

This is the relation.

English Count to Tex:
Cotton count means,
length of 1 pound yarn=Ne x 840 yards

Tex means,
weight of 1000 m of yarn = T x 1gm

Mathematically,

length of 1 pound yarn=Ne x 840 yards
length of 1 = 1 x 453.6gm yarn = Ne x 840 x 0.9144 m
wt. of Ne x 840 x 0.9144 m yarn = 1 x 453.6 gm
wt. of 1m yarn = (1 x 453.6) / (Ne x 840 x 0.9144) gm
wt. of 1000m yarn =  (1 x 1000 x 453.6) / (Ne x 840 x 0.9144)gm

From definition we can write,
T(tex)= (1 x 1000 x 453.6) / (Ne x 840 x 0.9144)
Tex x Ne = 590.5

This is the relation.

English count to Denier:
Cotton count means,
length of 1 pound yarn=Ne x 840 yards

Denier means,
weight of 9000m of yarn= Dx1 gm

Mathematically, 

length of 1 pound yarn=Ne x 840 m
length of 1 = 1 x 453.6gm yarn = Ne x 840 x 0.9144 m

Now,

wt. of Ne x 840 x 0.9144 m yarn = 1 x 453.6 gm
wt. of 1m yarn = (1 x 453.6) / (Ne x 840 x 0.9144) gm
wt. of 9000m yarn =  (1 x 9000 x 453.6) / (Ne x 840 x 0.9144)gm

From definition we can write,
Denier = (1 x 9000 x 453.6) / (Ne x 840 x 0.9144)
Denier x Ne  ≈ 5315

This is the desired relation.

Denier & Metric:
Denier means ,
weight of 9000m yarn = 1 x D gm

Metric means,
length of 1000 m yarn = Nm x1000 m.

Mathematically,
wt. of 9000 m yarn = 1 x D gm
wt. of 1 m yarn = (1 x D) / 9000 gm
length of (1 x D) / 9000 gm yarn = 1 m
length of 1000 gm yarn = (1 x 9000 x 1000) / (1 x D) m

From definition we can write, 

Nm= (1 x 9000 x 1000) / (1 x D)
Nm x Den= 9000000

This is the relation.

English count to Metric:
Cotton count means,
length of 1 pound yarn=Ne x 840 yards

Metric means,
length of 1000 gm yarn = Nm x1000 m

Since,
length of 1 pound yarn=Ne x 840 yards
length of 1x453.6gm yarn=Ne x 840x0.9144 m

Again,
wt. of Ne x 840 x 0.9144 m yarn = 1 x 453.6 gm
wt. of 1m yarn = (1 x 453.6) / (Ne x 840 x 0.9144) gm
wt. of 1000m yarn =  (1 x 1000 x 453.6) / (Ne x 840 x 0.9144)gm

Mathematically,
(Ne x 840 x 0.9144) / 453.6 = (Metric) Nm x 1000
or,

Ne = Nm x ( 453.6) / (840 x 0.9144)

or,

Ne = Nm x 0.5905

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