the real (world) need here?
Thanks for the suggestions. The situation I'm envisioning is this. In the sport of canyoneering, you typically descend a canyon by rappelling, and once you do the first rappel, you can only go forward (down) not back up. One of the things that can go wrong is that you find your rope isn't long enough for a rappel, or you have a rope get stuck so that you can't pull it down after yourself. A possibility that can be used in such an emergency is that you can use webbing to replace some or all of your rope. (You're usually carrying webbing for building anchors.) To get enough length, it might be necessary to connect a piece of webbing to a piece of rope.
"+1" to what was said previously about such a situation
being something to well avoid (who's to say that magically
one's tape will be adequate to make up some too-short
rope reach?), and also care about abseiling on tape. (You
might want to try this before believing that it's a viable
resource!)
If I'm understanding correctly, the Albright is a sheet bend with a bunch of extra wraps of the thinner cord.
Although that was shown, above, you're not understanding
correctly (didn't see where that was suggested?). Rather,
the
Albright is more like one end tying a
blood knot's wrapping
around the other end formed in a bight. What is shown above
is a
triple sheet bend, opp.-sided.
As rope tends to be more substantial than tape --and i.p. as
it stands in your stated circumstance (but, "14mm tape" ?!)--,
my inclination would be to *hitch* tape to the rope. And my
first thought of how to to this is to tie what I call a
"multiple
Lapp bend" --which in the minimal (non-"multiple") version
is simply a
reverse sheet bend (but the added wrapping, getting
a least one full turn, makes a big difference!). To tie, bring the
tape across the rope bight so that the tape cross diagonally
to turn around the rope's
tail and the comes around its
SPart, over itself down through the bight, AND THEN continue
to turn around the rope's & tape's SParts --NOT around the
tail further (if you want to untie it!).
Given the
insubstantialness of the tape, I'd finish this
bight-hitch by bringing the tape's tail out through its initial
turn (so, yes, one can't tie it tightly from the start). With
rope-2-rope of similar sizes, the bight should be able to nip
the wrapping tail adequately; but with tape, I'm less sure,
so go for the extra tucking, where its SPart turn will nip it.
Now, about that "if you want to UNtie it" : the point to wrap
the bight tail only initially is that it allows the loosening tact
of pulling bight legs apart to pry out some hitching SPart,
and then working the bight tail back through this loosened
turn, and so on. (Were one to make more than the initial
wrap, pulling legs apart would be very difficult, at best.)
You might be able to tie a variation of the Beer knot by sliding the rope into the webbing if it will go - you would need to test this as I've never heard of it being used with rope.
That's thinking! (Were one unable to access tails, then one
could try a
butterfly or
overhand among other mid-line
eyeknots.) But I don't think that 14mm is adequate for 9mm core :
pi x 9mm > 2x14mm > interior space of tape tube; Do Not Pass Go.
... occurs to me is to tie a rewoven figure-8 at the end of one rope
Maybe it's just a problem of silly knot-naming, but why would
one go to the bother of "re-weaving" a
fig.8 eyeknot when
tying it with a bight is available, in this case?!

--dl*
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