The weave blanket for the double twill structures is complete. Click to enlarge.
The reasoning behind this blanket is to select just a few of the hundreds (thousands?) of possibilities of double twill variations, and get a maximum color range. I focus on just the front of the cloth for use in wall hangings, although the back is also attractive. The back is always 2/2 twill. The top layer can be 1/3, 2/2, or 3/1 twill. There are two warps (black and white) and four wefts (magenta, blue, green, and yellow, although these could be any color). The top warp can be woven with one, two, or three of the four wefts, the remaining weft(s) weaving with the back warp. Narrowing the choices this way results in a total of 84 weaves, which are shown in the blanket above (the first two rows are the weaves with white warp on top, and the bottom two rows with the black warp on top).
I know that some of you are thinking that there are many more possibilities with this structure: top layer consisting of one black/one white/repeat, addition of other twill weaves (left leaning, broken, etc.), and addition of other weaves such as plain weave, basket, etc., and you are right. But I find it easier to narrow my choices in the interest of weaving sanity. So these are my choices. But you are encouraged to experiment and come up with your own set of double twill weaves. Please let me know how you fare!
Another interesting note: this structure requires 8 warp ends and 16 weft ends for one complete repeat. I have chosen to double it to 16 x 32, and include a tie in each 16 x 32 array, because I don't like my jacquard-woven double weave layers separate. But the ties could be omitted and the weave reduced back to 8 x 16, and then it would be very usable for dobby work on 16, 24, 32, and 40 shaft looms. The 16 x 32 version is described in detail in The Woven Pixel.