__Count conversion__

**Denier to Tex:**

Denier means,

weight of 9000m of yarn= Dx1 gm

Tex means ,

weight of 1000m of yarn= Tx1 gm

Mathematically,

Wt. of 9000m yarn= 1x D gm

Wt. of 1m yarn = (1xD) / 9000gm

Wt. of 1000m yarn= (1x1000xD) / 9000 gm

= D/9

From definition we can write, T(tex)= D/9

D (denier) = 9xT (tex)

Den = 9xTex

Cotton

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

Cotton count means,

length of 1 pound yarn=Ne x 840 yards

Denier means,

weight of 9000m of yarn= Dx1 gm

Mathematically,

**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,

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

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,

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

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

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,

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 gmwt. 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

**This is the relation.**