As there are speculations on the Internet with regards to the models of the Fiery Elias, as well as some erroneous information, I thought, time to check it out, especially as there is very little information regarding the Keyser model to be found.
In summary, the Keyser is neither 00 nor H0, it is pretty consistently 1:82.
Two possible reasons for this odd scale:
1. The 'halfway house' between 00 (1:76) and H0 (1:87) to be acceptable to modellers in both scales.
2. At the time at least Rivarossi and Fleischmann produced in that scale, i.e. H0 wasn't standardised as 1:87 then.
Which reason it was is probably a piece of knowledge lost in time.
Original Keyser 1:87 Eggerbahn
Length Body 4440 54 (1:82) 51 44 (1:101)
Length over Buffers 5640 [69] 65 50 (1:113)
Width 2140 26 (1:82) 25 25 (1:87)
Heights 3500 [43] 40 34 (1:103)
Values in square brackets are subject to how you assemble the model, and have not been considered, in round brackets the scale. the Eggerbahn Elias is by and large 1:100, except for the width; probably the engine would look odd on the tracks if narrower. Even though the original ran on 1000mm (12mm) track.
In Valkenburg is the same model preserved, original supplied for 750mm. The majority were supplied for 1000mm, but other gauges, notably standard gauge, were supplied too. So the Keyser kit is prototypical in facilitating H0e, H0m, and standard gauge as options.
Hope it is of interest... :D
Waldschrat