I have long been interested in bends that work well
with two ropes having different sizes (or stiffness).
Ditto! And in considering Roger E. Miles's book
"Sixty Symmetric Bends" and someone's --a mathematician"--
ill-conceived opinion "If it's not symmetric, I throw it out!",
it occurs to me to wonder about a grand survey of when
e2e Joints are actually used and what the nature it of
the two joined ends there. E.g., rockclimbers used to make
"runners", round slings, and so in that case were joining
not only same type of rope in material/size/etc. but same
physical rope; but in forming abseil lines there'd be often
different ageing/sizing of ropes, sometimes to the degree
of 7mm + 10mm, low-elongation + dynamic.
In general, I think of one category as "messenger-line
bends", where the size difference is only moderate --vs.
what one might conceive for "heaving-line bends" with
a big size difference (and a structure one might regard
as more one line *hitching* the other than any sort of
joint joining. (-;
I suspect that a lot of ends joining entails ends that
are somewhat different --stiffness, firmness, slickness,
diameter--, and we should wonder about giving much
value to symmetry of the knot joining them.
Most enhanced Bowlines leave the nipping loop simple
and add the extra tucks or wrappings to the free end.
Note that this tickles the issue of what defines a BWL
--some insist on the simple "nipping loop"; I'm more
open on this, but such openess leads both near and
far in the extent of structure flowing from the initial
nipping-loop shaping (such as making a 2nd turn,
or making a 2nd full loop (Clove/"Dbl" BWL), or
running out to form an eye collar before going out
as the outgoing eye leg).
A general benefit to such diff-sized joints might be
having the thin line grab well the Tail side vs. S.Part
end of the larger rope, to pull this thick Tail into
opposition of the thick S.Part.
And, yes, one need be on guard against putting a thin
part between thick ones where the nipping of the thin
just isn't much --something aggravated by size difference,
and maybe seen as more important for some regular
tasks vs. others per given application. (Cavers, climbers,
canyoneers, et al. maybe have only moderate differences
in this regard, vs. some marine users?!)
--dl*
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