While looking at a document from Universal Lighting Technologies that had some listings for some probe start metal halide ballasts, I have apparently discovered that some of their F-Can ballasts require a pair of them to be connected in parallel to be able to properly operate a lamp.
For example, I have found out that you would need a pair of 1111-246C-TC ballasts connected in parallel to be able to run a 250W M58 probe start metal halide lamp or a pair of 1111-247SC-TC ballasts connected in parallel to be able to run a 400W M59 probe start metal halide lamp.
You can find the document here:
https://www.candelacorp.com/spec/?prod_num=M1650MLHAC5M215TAdditionally, I just found a couple of listings for the 1111-247SC-TC ballasts on eBay:
https://www.ebay.com/itm/232754466335https://www.ebay.com/itm/113763485009Wit this in mind, it seems like a single 1111-247SC-TC ballast may be a close match for a Japanese 200W mercury vapor lamp (120V 1.9A), but the ballast is probably best for a 135V 1.65A discharge lamp such as a Thorn 200W SLI/H HO low pressure sodium lamp (145V 1.55A) since a 400W H33 mercury vapor lamp or 400W M59 probe start metal halide lamp runs at roughly 135V 3.3A.
Additionally, it also seems like a single 1111-246C-TC ballast might be a close match for a European 125W mercury vapor lamp or a North American 125W H42 mercury vapor lamp (125V 1.15A), but the ideal discharge lamp for this ballast would run at 135V 1.05A because a 250W H37 mercury vapor lamp or 250W M58 probe start metal halide lamp would run at 135V 2.1A.
I wonder why Universal Lighting would go out of their way to design these half power F-Can ballasts meant to be connected in parallel even though 1 ballast is normally enough.