Our mooring officer, claiming authority from Lloyde's, approves three full tucks and then taper one strand at a time, so one strand has a total of four tucks, then next five and the third six.
I'd not use such a short splice on nylon line less than 3/4" diameter and I'd look at the construction carefully. Some nylon sold for anchor rode is pretty loose and needs at least 5 or even 7 full tucks. This is not scientifically based and I'm sure Brion has some specs to help us here but my own rule of thumb is that dacron, good quality nylon and thicker lines can all hold up nicely with three full before taper. Should you use polypropolene for something that involves an eyesplice, I recommend 7 full tucks before taper.
I don't like tapering by yarns. The workmanlike approach of lopping off another strand per tuck - total taper is three tucks long - is nice to the rope in that the taper is long enough that you don't have a stress induced hard spot and it looks neat. Tapering by yarns is very fussy to keep the yarn ends inside and it ends in unattractive, to my eye, mix of unlaid strands weaving about.
But de gustibus non disputandem est.
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