i compare this to adding not 1 but 2 Half Hitches(HH) as final ballast to complete/'seal' a knot.
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To me with just 1 single preceding Turn, the 2nd HH is to keep the 1st from pulling out.
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But, same adage applied after a Round Turn(RT), the 2nd HH sometimes seems more so the 1st doesn't fall out sometimes.
As the RT reduces the tension in the 'working end' to such an extent, can be more of a risk of 1st HH falling out, from lack of holding tension.
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In either case follow the adage to be more secure, but sometimes to different function to do so. Adding another rope part/module isn't always to enforce a particular mechanic across the board; but rather avail that part now to the system. That in turn, autonomously can use the added mechanic to particular flavor by Natural selection of system now self maximizing with more usable parts.
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This can also be witnessed, in using the same lacing for different usages/force type fed. If on round host form a Half Knot, Strangle, Constrictor, Bag(fave), Groundline etc. and use as a Hitch, the rope parts load force in 1 fashion as the raw force source is linear input. But, remove load and swell host is now a radial input of force of Round Binding, the same lacing of same rope parts now loads differently, as Nature self maximizes to a different input force type.
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i see these individual rope parts as 3 main players of 0,90,180 degrees directional (horizontal or vertical etc.)end points deflection, making linear/same directional axis(even if bent), cross axis and reverse direction to same axis respectively(in linear force input systems). If rigid parts, these parts would need connecting flexible hinging; body of rope provides this utility. But rope still has essentially separate rope parts that can be used differently on the fly if loaded differently. Just as rigid support chain loaded from side, reverse etc., or even same passive electric parts circuit with the force element ported differently thru; to extrude different effects. All the same lesson, viewed from this larger context, of suddenly rope not mysterious but amazingly consistent to what already know. Parts and positions don't dictate outcome, but rather how the force uses and ports thru the offered parts, dictates outcome. Thus follow the force to decode, as a detective follows the money(force) thru the bit parts.
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....sorry for the interruption; we now return you to the safety of normal thinking peoples...