has this any bearing?
"At the same time, there were a number of aperture numbering systems
designed with the goal of making exposure times vary in direct or inverse
proportion with the aperture, rather than with the square of the f-number or
inverse square of the apertal ratio or intensity ratio. But these systems
all involved some arbitrary constant, as opposed to the simple ratio of
focal length and diameter."
https://en.wikipedia.org/wiki/F-number
(where the same apertura ratio table is shown.).
"In 1867, Sutton and Dawson defined "apertal ratio" as essentially the
reciprocal of the modern f-number:
In every lens there is, corresponding to a given apertal ratio (that is,
the ratio of the diameter of the stop to the focal length), a certain
distance of a near object from it, between which and infinity all objects
are in equally good focus. For instance, in a single view lens of 6 inch
focus, with a 1/4 in. stop (apertal ratio one-twenty-fourth), all objects
situated at distances lying between 20 feet from the lens and an infinite
distance from it (a fixed star, for instance) are in equally good focus.
Twenty feet is therefore called the 'focal range' of the lens when this stop
is used. The focal range is consequently the distance of the nearest object,
which will be in good focus when the ground glass is adjusted for an
extremely distant object. In the same lens, the focal range will depend upon
the size of the diaphragm used, while in different lenses having the same
apertal ratio the focal ranges will be greater as the focal length of the
lens is increased. The terms 'apertal ratio' and 'focal range' have not come
into general use, but it is very desirable that they should, in order to
prevent ambiguity and circumlocution when treating of the properties of
photographic lenses."
