All the various 2-wrap "tight hitches" can withstand a lengthwise pull much better than all the 2-wrap classic hitches - but not very much. Wrapped around a slippery pole, tied on a slippery rope, and pulled by a heavy load, sooner or later they will slide along the surface. To improve them, there is only one thing we can do more : add a third wrap.
I understand that I forget things, but, fortunately, I do not forget what I understand...
We have seen, in the case of the hitches shown in ABoK s 22nd chapter, that the "cross-gartering" of the wraps is a most efficient way to improve a lengthwise-pulled multi-wrap hitch : Under a lengthwise pull, the wraps become elongated and elliptically shaped - but since their circumference increases while the amount of material remains the same, their tension increases, too.
If we use the same method in a "tight hitch", where the wraps are already very tight, the situation improves. One has only to pay attention, and load the hitch from its lower point, so, under a loading from below, all the crossed wraps above its nub can spread along the surface of the pole, and, after they become elongated, they also become even more tight, so even more effective in "gluing" the hitch on the surface of the pole.
See the same either-end-loadable ( EEL )
Locked Cow hitch shown in the previous posts, with the addition of one more wrap - which third wrap is free to drag along it the upper second wrap of the Cow hitch, and form a single 8-shape wrap on top of the lower first one.
My preliminary trials convinced me that this third wrap is worth the added material, indeed ; the basic 2-wrap
Locked Cow hitch now becomes a hitch able to withstand a lengthwise pull, even when wrapped around slippery poles and tied on slippery ropes, much more efficiently than any other hitch shown in ABoK - even than the 4- and 5- wrap hitches. The interested reader may compare it with any "classic", not "tight" hitch he knows, and report his findings.
----------------------------------------------------------------------------------------------------------------------
Note :
I feel I have to mention one more thing, that I have nt seen written anywhere ( perhaps because my knowledge of the vast knotting litterature remains rudimental...) : There may be a kind of
leverage in such hitches, meant to be pulled along the axis of the pole, which can play an important role : it is the leverage made possible by the presence of a voluminous and properly placed nub, in between the surface of the pole and the end of the Standing end, which can work like a fulcrum. When we pull the one end which stems from the nub, the Standing end, the other end, which is directly connected to the wraps, tends to rotate around the axis of this fulcrum, and, provided that the geometry of the mechanism is favourable, it pulls the wraps with more strength, or it pulls them with less strength but more quickly, than the strength or the pace we ourselves pull the Standing End.
If we could tie such a nub-fulcrum which could rotate around itself, and if the distance, from the axis of its rotation, of the point where the Standing end was attached, was, say, half the distance of the point where the direct continuation of the "lower" wrap was attached, we would had been able to get a 2:1 mechanical advantage. If it was, say, two times this distance, we would get a 1:2 mechanical disadvantage, but then even a small displacement of the Standing End could insert more tension into the wraps, by forcing the end connected directly to them to be "consumed" at twice the pace. I will say no more here - better ask TEX about mechanical advantages !
