Someone is missing the boat here. Scale and Gauge are not the same thing.
The Wikipedia entry seems to need some corecting.
The origin of ZERO 0 gauge is correct. Its smaller than 1 gauge. But then 00 gauge, which became H0 is smaller, and 000 , which became N, is even smaller. The confusion is from the metric system.
0 SCALE is 1/4 inch to the foot.
00 (double 0) is 1/8 inch to the foot
Dont remember what 000 (treble 0) was.
0 SCALE is 1/48 actual size.
00, being half of 0, is 1/96 actual size, but when it went metric, they dropped the rounding which had the guage of the track at 5 feet, and brought it down to the real 4'8 1/2" which translated to 1/87th real size , and 3.5 MM to the foot. Talk about a mess.
But how do you verify my numbers?
0n30 is used to represent narrow gauge track in 0 scale. The H0 track , which is supposed to be 1/2 the gauge of 0 track, scales out to 30 scale inches. Which is indeed 1/2 of our 0 Gauge of 60 scale inches.
So what is going on? When they went metric, they also corrected the gauge of the track, by changing the scale. 1/96 became 1/87, 1/48 became 1/43. The track didnt change, the size of what goes on the track changed to fit the track accurately.
So what we have is 0 Scale, using 0 Gauge 1 1/4 track, is 1/43 actual size, but 0Gauge trains , which use 1 1/4 gauge track to represent a real 5 foot gauge, are 1/48 actual size.
All of the '0's' above are 'ZERO's' even though we like to pronounce them 'OH's'.
Heres more confusion. Many of you have at least heard of the old 0 Scale display layout at the Museum of Science and Industry. It dated back to the late 40's, early 50's. It has since been replaced with a wonderful HO layout.
The old layout was built, donated, and maintained by the Santa Fe Railroad. It was 1/48 0 SCALE, but 'Q' GAUGE. That is 1/48 of 4'8 1/2 inches.
So what we have is TWO VERSIONS of 0 SCALE. 1/48 represents 1/4 inch to the foot, with oversize gauge of 5', while 1/43 represents the same gauge as being 4' 8 1/2"
Is that enough confusion?
1/50 scale is most likely derived from an engineer or designer using a scale (ruler) divided in tenths of an inch. A common architectural size, because big numbers are easily divided. A standard scale (ruler) divided in sixteenths, or eights, gives you the common 1/48th.
I know there's more, but thats for some other time.