Robert:
DIN (Deutsches Institut für Normung - German Institute for Standardisation) is fairly obselete.
In modern times globalisation has led to international standards that wouldn't have existed when the Germans, for example, made a film speed standardisation back in 19-sumthingorother...
Plus, it's a very different standard:
DIN ISO ASA
21° 100/21° 100
24° 200/24° 200
27° 400/27° 400
30° 800/30° 800
33° 1600/33° 1600
It does kinda make sense because of the 1/3rd stops you have with ISO 125 and ISO 160 for example would be DIN 22° and DIN 23° respectively...
By the way - as you can see from my table...ISO tends to never be listed properly...officially it should be ISO/DIN....but over time this has been phased out - and the American standard has dominated and essentially driven the way in which ISO is termed.
There are still some sorts overlaps however - in America for example you can but 5x7" sheet film, whilst in Germany the standard is a 13x18cm sheet - which is a couple of millimetres different in size....may seem insignificant, but means that the two sizes need entirely different sized film holders.... FujiFilm still make 13x18cm Velvia 100...but there's no such existing size in 5x7" (I would imagine this will phase out soon though...)
As for (Edward) Weston...he made his standardisation before ASA / ISO were around..... That was around 1930... I don't know how his system worked, but it was in association with a light meter system that he released - which would have worked on the basis of his standardisation.
I don't know anything about Schneider-specific ratings...but would be curious.
Blimey that was a big rant....hope this may have been of some use to you (all?)...