The original lens apertures of the 19th century were holes drilled in metal plates that you dropped into a slit in the lens barrel -- they were called lens stops. Back in those days there was little (basically none) choice of films and they all had the same ISO of about 6 so shutter speed wasn't a big deal you just hung your hat over the lens and when you removed your hat you counted 1 mississippi, 2 mississippi, 3 mississippi, etc. and put the hat back. You had a sunny day stop and a cloudy day stop.
As the 19th century neared an end a number of innovations were showing up. These included an adjustable iris aperture, faster films with a couple to chose from, and shutters with as many as 3 to 5 speeds. Efforts at standardization then began to show up early in the 20th century and
the convention of a "stop" as a unit of measure equal to a factor of 2 was adopted. That measurement unit was then applied to all three exposure variables -- shutter, lens aperture, and film speed. This was a critical advance in achieving precise exposure control. It permitted the shutter speed and f/stop values to be reduced to a single number (EV exposure value) which could then be associated with relatively standard outdoor lighting conditions and film speeds. For example Kodachrome (ISO 25) was properly exposed outside on a sunny afternoon at EV 13.
EV 13 is:
1/1000 sec at f/2.8
1/500 sec at f/4
1/250 sec at f/5.6
1/125 sec at f/8
1/60 sec at f/11
etc.
(And yes I remember Kodachrome 25). This method of exposure control in the early/mid 20th century was physically moved to the cameras so that you could set exposure on the camera by setting the EV value. Many camera designs in fact locked the shutter speed and f/stop to the EV setting so that adjusting one adjusted the other and the EV value remained constant. For example if you set the camera to EV 14 and the shutter was set to 1/250 sec then the f/stop would be f/8. If you wanted a different f/stop and set f/4 then the shutter would follow and set to 1/1000 sec.
Using this method it was fairly easy to learn to associate an EV value to relatively constant lighting conditions: Tri-X outside in the sun is EV 17. A cloud covers the sun is - 2 EV. Full overcast is - 4 EV, etc. When I got started light meters in cameras were options.
So the standard f/stop scale developed out of a logical design progression to make exposure control manageable. I still have that camera in the photo above (gettin' buried with it). It's fully mechanical and works without batteries. It has no exposure meter -- just load a roll of film and go.
Joe