Which Knots?
What are you familiar with?
Can you see a 2 down, 2 up clove hitch in a tautline?
From there a 1 down, 3 or 4 up clove, grabbing both ends of line would be a distel; like this:
This i think would be the (or one of the) best 'change over' knots to a smaller chord, using both ends (instead of 1) of the friction tail to connect to saddle.
8mm Sta-Set dbl.braid seems to be popular/Brian's suggestion; good grip from size differance compared to host / lifeline, flexible enough to seat tightly, low stretch, strong.
The eyes are usually barrels, that are old'reliable anchor knots tied back to the line itself to form an eye. An anchor knot is just a dependable round turn, sitting on it's own tail; as like a constrictor knot is a clove trapping it's own tail (making a constrictor a clove that doesn't need a backup, as it forms it's own).
Though i speak of 3 top coils, present this old animation; the prop3er form to learn and start all of the newer breed friction hitches from is a top mantle piece made of a 4 coil Frenchy. From that base, positive grip formation, come most of the new knots you will see spoken here. The basic, positive grip module (4coil frenchy) needs tamed by a preceding grip to break the load going to the Frenchy, so that the Frenchy will grip and not sieze. If you look closely you will see this pattern in even the Blake's, as it just uses a single leg of connection , sits on its own tail(more reliable not to walk out, but book says back it up!); that also functions to disturb the 2 bottom coils and not allow the sever clamping down/seizing of just a Frenchy, tightened from both ends; IMLHO.
Orrrrrrrrr something like that.....
:alien: