Looks like you've rediscovered reciprocity departure (often called reciprocity failure). Essentially, most photographic materials have a level of light intensity below which exposure doesn't add up the way you expect. For typical B&W negative films, this is pretty well documented by the manufacturer, who then give totally impractical recommendations to open the aperture one or two stops (when the reason you're exposing for six seconds in the first place is that you're already wide open).
What it boils down to, in generally, is that beyond a certain exposure time each stop of extra exposure takes more than twice as much time. There are a number of ways to express this; in the past, I've used formulae like 2.8x for one stop (for a particular film, and this varies from film to film). Ilford recommends an exponent: for exposure longer than one second, after calculating exposure, raise the time in seconds to a power that's characteristic for the film in use (say, 8 seconds would give 8^1.26). Both of these methods require a calculator (unless you can do fractional powers or powers of non-integers in your head).
In the end, though, what you're seeing is just the reciprocity departure of the paper you're using: you've experimentally discovered that paper acts like film, in being slower at low light intensity than with more intense light. Since manufacturers don't document this quality for paper (they expect you'll run enlarging exposures in the 5 to 30 second range and make test strips for each new negative or size), you'll have to do some testing. With a little reading and some math, you should be able to arrive at either a stop multiplier (number larger than 2 to multiply time for each stoop above a few seconds) or a Gainer exponent (power to raise the final exposure, in multiples of the reciprocity limit) for your paper that will be valid until the next time Ilford changes the paper emulsion.
Given the odd aperture markings for your lens, maybe you should measure the diameter of the aperture and see if those markings are correct.
The scale you mention was used on pre-war German cameras/shutters.
https://en.wikipedia.org/wiki/F-numberf-stop scale
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