The thing about model railway scales and gauges is that they are at the same time interdependent and independent.
Strictly speaking, gauge is the dimension between the the track’s railheads and that’s it, nothing more and nothing less, & scale is the proportional size of the model compared to the real deal.
However …
At some point in model railway history, I think during the tinplate years, that changed from being measured from center of railhead to being measured from inside edges of railhead.
So even that hasn’t remained set in stone during model railway history.
Anyway …
Track gauges can be created to fit existing modeling scales and modeling scales can be developed to fit existing track gauges.
A lot of the ‘fun’ comes because …
- since most railway modelers model standard gauge trains a shorthand way of speaking developed where instead of saying “1/87 scale standard gauge trains on HO gauge track” people just said “HO gauge” and the fully defined meaning was understand in the context.
- real railway track exists in multiple gauges.
And …
3. Modelers decided to save time, and hopefully money, by adapting existing model track gauges for modeling narrow gauge trains in a larger scale than what models of standard gauge trains would be for that track gauge.
And …
4. over many decades of time there has been movement toward finer scale models, wheels, and track construction standards.
Sometimes compromises have been made by choice because of engineering realities.
For instance …
The story is that the UK’s OO scale came about since that in being the first to have steam railways the UK had smaller, tighter, loading gauge clearances than most of the rest of the world & 1940s and 50s electric motors would almost but not quite fit inside the boiler dimensions of HO scale UK steam engines.
So …
Keep the HO track gauge of 16.5mm where a 1/87.1 scale model represents a standard gauge train on that gauge of model track but tweak the model scale to 1/76.
(the purist could refer to them as 3.5mm/foot scale and 4mm/foot scale)
(and then that raises the difference between the purist, the degrees of purist, and the casual and the typical railway modeler)
Eventually …
Some modelers wanted to build finescale track truly proportioned for those 1/76 scale models and 18.83mm gauge track came in to use.
Also …
Over time good electric motors became smaller and one truly could fit a motor inside a UK HO scale steam loco boiler.
While …
Along with that, tender drive was developed and thereby mooted the boiler dimension issue.
Yet …
Both development trees have continued.
Yes, model railway scale and gauge history is overflowing with quirks and idiosyncrasies.
So,
accept that the scale/gauge matter is an untidy, documentably imperfect, thing with several loose ends, and a few loose cannons, therefore do what works for your way of doing model railways.