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.
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