BTW, the mathematical normal lens based on the diagonal of a 24x36 frame is a 43mm.
a^2 + b^2 = c^2
if a = 24, b = 36, then c = 43.
So closer to a 40 than to a 50, but even closer to a 45.
Interesting side note, the Nikon 43-86 ends up starting on this diagonal measurement. It always seems like an odd number to start a lens on I would have thought 40-80 or 45-90.
The 6x6 comes out almost exact to 80mm.
a and b = 56, c = 79.
Comparing the two formats 35mm film and 6x6, the 50mm lens comes close to matching the horizontal angle of view of a 6x6, interesting.
35mm 43mm lens; diagonal =53 degrees, horizontal = 45 degrees, vertical = 31 degrees
35mm 50mm lens; diagonal =47 degrees, horizontal = 40 degrees, vertical = 27 degrees
6x6 80mm lens; diagonal = 52 degrees, horizontal and vertical = 38 degrees
Interesting point about the eye.
The angle of view of the eye when LOOKING is much narrower than what the eye can see. And based on various diagrams, like this one:
There is a broad range of focal lengths that would fit into the 30-60 degree horizontal arc.
And depending on your training and behavior, you may have a narrower or wider arc than others.
But in practice, whatever the lens, you get used to what you have to work with, and don't think about it.
With my 35mm SLR it was a 50mm (before I switched to the 43-86 then the 35-105).
With my 35mm P&S it was a 35mm fixed lens.
Yes I knew it was wider than my SLR, but after a short while I simply got used to it, and it was a non-issue.
If you have a fixed lens camera like a TLR, well you have no choice. It was 80mm.
With an interchangeable lens, YOU can make your own decision what YOU like as a normal lens.
BTW, I used a normal/standard zoom for so long, since the 1970s, that I do not have a 50mm reference in my head. For me, the fast prime was and is simply to have a faster lens than my zooms.