i like and have worked Tom's suggestions, also in rope worked Prussics down length milking ropes etc. Especially on prep of new ropes/lines.
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i think the rope simply must twist/coil as especially coiling to compact storage; as equal on opposite reaction per turn taken(more than we think), and work to mechanically-compensate or in flaking allowing to auto-compensate.
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So fig.8 storage as counter-acting, flaking as automatic per pressures in line if hands don't dictate lay of line, but rather sense and allow rope itself to, or in coiling i prefer purposefully twisting the line between fingers with each turn of coil. In each csee the free end must be free length to end to allow Natural relief w/o back pressure as rope itself tries to relieve stresses/curls.
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This is most pronounced/dramatized/magnified to be able to see i think, in simple 1" flat rope/webbing like our loops are made of, and try to refer to for hammock etc in wrap_3/pull_2.
Start flat and go to coil nicely around arm, and the length more easily reveals it's secrets that each turn traps another turn into free length and in the flat profile leverages against release of the backpressure of turns. So can see in turns on arm/in air etc. are heading for disaster.
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So we give counter turns of 8's, flaking to let rope self equalize, but also back to neat coil for ropes twisting line between fingers with each draw to coil, if end free to play out. Sometimes making large arc with feeding end and whip some twist out, but doable. Then save some for turns around coil, feed bight up under top of coil and end backhand /muenter thru with tail binds, some slipped daisy chain and end lock (keeper) for handle(gasket hitch in total i believe) as my other option to flaking. i can flake throwline into short army ammo can well enough, climbing line into canvas bag. But sometimes like the flatter profile having behind seat for utility , rig lines, or on wall etc.
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Throwline in a pinch, have used mechanics rag loaded with dirt on paracord. you want soft, not hard bouncy weight.
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A fave heavier rigging use for throw line is to get Round Turn(RT) around high support , with carabiner and pull line to pull the lower turn open for less friction, sweating load tight, retrieving rig line. For heavier wood, and high support don't want to climb up to. Can do as climber more locally with RT on support and sling and carabiner set as pull handle. Can be real game changer. Lowers loading on support, as control leg much less pull. Hard sweat thru carabiner to tighten load, ground control grabbing purchases, and climber working rope part before fractions to tweak tight. Can be too much, were can't receive to proper during usage, but when that isn't a problem, this is real good trick!