Fwiw I found the UN repeater auction info:
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Manufacturer: Ulysse Nardin
Year: 1950
Movement No: 127'544
Case No: 668'852
Material: 18K yellow gold
Calibre: Manual, cal. 12"', 27 jewels
Bracelet/Strap: Leather
Clasp/Buckle: Yellow gold plated pin buckle
Dimensions: 36mm diameter
Signed: Case, dial and movement signed
Accessories: Accompanied by Ulysse Nardin Extract from the Archives confirming production in 1950
It is a 12 ligne movement; the Vacherons are 13 ligne without a sub seconds dial. I found a 35mm Vacheron from the 1950's that has a 12 ligne movement with sub seconds. I think it is likely the same movement as the UN: