I tried the knut but with my tenex eye-n-eye it still worked itself tight.
I swapped over to the "ascender hitch" as shown in "On Rope" The knot is designed for a single eye rope but I adapted for use with an eye-n-eye.
The hitch can be tied with either the Bowline or Fig-8 as the base knot. I have found it to be extremely responsive both in and out, can be tied with as many wraps as you want, and by design, never binds.
Only real downsides are that if you use an eye and eye it becomes tedious to tie it mid-line around a climbing rope. Not difficult, just tedious.
The tediousness comes from dressing it to meet your personal preferences. That is why I have only set it up on my lanyard.
If you have a strong enough prussik cord (5k pounds avg) then you can go with the original single leg version as it was designed and tie it and untie it all day long without much hassle.
Nearest I can tell is that the cord used for this hitch needs to be like most prussik cords, smaller diameter than the climbing line it is to be used on.