This version below has a bit more cinch. It's the same concept but with an added nipping turn.
I think that this picture is not as informative as it could be. It does not show very clearly the "twist" of the tails inside the "tube" made by the three nipping loops. For the single as well as the double hitch to work at 100% of their potential, the tails inside the tube should be in an "elbow" configuration (ABoK#35) - i.e., the shape of their paths inside the knot s nub should be that of a double helix. However, a helix has a "helicity", so there are two possible double helices. The picture at the previous post shows ( not very clearly...) the one, the picture at the present post shows the other.
I tried to describe, verbally, how differently the double version can be tied, but I failed - and the only thing left was to show a picture, of the "other" way the tails can form the "other" double helix. When tied around a pole, the "tube" has a certain inclination to the axis of the pole, so the two ways are different from each other - and I believe this "other" way - the way shown at the attached picture of the present post - leads to tighter knots than the way shown at the picture of the previous post. The way we can see which way is which

, is to watch the ends of the tails : If they pass
over the continuations of the tails before they enter the "tube" of the triple nipping loop, it is the one way - if it passes
under them, it is the "other" way. If in the one it can be considered that the tails make a clock-wise turn, in the other they make a counter-clockwise turn, and vice versa.
It might be interesting to mention that the double hitch is identical to a triple Strangle hitch, where the middle round turn has not gone around the pole, but it has been left to shrink around the knot itself. (1)
I believe that this hitch is probably the most under-estimated tensioner of this board, and one of the best adjustable binders we have. It is superb ( an antonym to "pathetic"). To go beyond this hitch, one would need to use the mechanical advantage offered by some other, more complex hitches - but this is another subject. On the subject of this thread, I wish to say that I believe it remains open : there might well be other binders that would be equally good, and even better, than the ones we know.
1.
http://igkt.net/sm/index.php?topic=3174.msg19045#msg19045