Turkish Carpet Project v1.7 The Math

I have the cartoon, I have a loom, I have the right amount of hedles (my order arrived a couple of days ago). Now I have to figure out how much material I will need to complete the rug, and how much of each color I will need to hand dye.

Determining how much was fairly simple. Each knot will require ~ 2″ of wool to complete the knot. Most of which will be cut away, but I have plans for the woolen offcuts. Pillow stuffing maybe… or even  multicolor felting project. The cartoon is 265 x 445 = 117925 units large. I then did the tedious job of counting the knots in each unique element in the rug, and then count the elements.

Total knots:   117925

Red:  36845
White:  18371
Blue: 12488
yellow: 4343
= 72047

72047 -117925 =  45878 Black knots.

Amounts in feet with a 10% bump to be safe.

Red 36845 x 2″ per knot / 12″ in a foot  + 10% =6754ft
White 18371 x 2 / 12+10% = 3367ft
Blue 12488 x 2 / 12 + 10% = 2289ft
Yellow 4343 x 2 / 12 + 10% = 800ft
Black  45878 x 2 / 12 + 10% = 8410ft

Total  21,620 ft (6590 m, 6.59 km, 7207 yd, 4.09 mile)

The Red wool also has ~4″ of flat weave on both ends of the carpet, and red edging down both edges.
8″ x 16 weft/inch (number pulled out of thin air) = 144 weft + (445 knotted rows x 2weft) = 1034 rows of weft.

1034 x ~36″ (more than finished, but it gives me a large bubble) = 37224″ / 12 = 3102ft

both edges totaling no more than 1″. 445 x2 x1″ = 890″ / 12 = 74ft

The warp will also be made with wool. All of the examples of carpets in the V&A museum from pre-1600 are wool warped. I have been talking to a couple of people experienced with carpet knotting, and have a couple of different recommendations on what to use (they both said cotton, but since I am determined to use wool they gave me other advice too… nice people).

The cartoon is 265 wide. Each grid needs two warp threads to work plus another 4-6 sets of threads for the edge banding (not decided on whether to us two strand weave or three strand weave for the edge).

265+12 = 277 x 20ft (rough size of my warping jig) = 4540  ft

The warp threads will be folded in half when attached to the loom. This will give me enough room for the rug plus a little extra.

Now for the shopping, and then the dying. Looking forward to the dyeing part. Especially the stinky Indigo baths. I suspect that will be forced out into the wood shop.

About the Author

DirtyMary

Rabid builder type that jumps from project to project. Loves woodturning, Medieval mechanisms, and everything that has moving parts. Gadgets, Clocks and Chemistry Rules! Shown a big red button labeled "Do Not Push ~ Danger", would have to be restrained from pushing said button.

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