An “ordinary seaman” would be expected to know fewer knots than an ‘able seaman”.

A landsman would need to learn quite a few knots rapidly. Square knot (reef knot), half hitch, round turn and two half hitches, clove hitch, figure of eight, bowline, timber hitch (for securing gaskets on sails aloft), sheet bend, as well as some knot related rope work such as securing lines to belaying pins or cleats, coiling down, eye splices, short splices and long splices. They would also need to learn quickly how to whip the bitter ends of lines. They would fairly quickly be taught to worm, parcel and serve (boring tasks to protect rigging, which the able seamen would prefer the ordinary seamen performed) as well as make and apply baggy-wrinkle (the most boring rigging task and also a frequent task, so the able seamen would be keen to teach ordinary seamen to do it). Perhaps slightly more than a dozen knots or knot related rope works.

An able seaman would probably know 40-60 knots (including lashings), many of which were useful, but some of which were mostly decorative (although they fulfilled some useful functions as well) e.g. turk’s heads and monkey’s fists, Flemish coils, etc.

In your period, able seamen would also need to know how to splice wire rope (a completely different set of splices than fiber ropes).