Al the Man is the one for a definitive answer but what you are describing is the way my building is wired. Three phase 120/208 is pretty much the standard up here.
Because you have 208 not 240 you should check that your motors can run on 208. Most can but if you have older motors you may have a small problem with reduced power and overheating.
You don't mention amperage. What size breaker and wire is the Landlord using to supply your space? A 60 amp supply would probably be adequate but 100 amp would give you the capacity for getting more machines. Less than 60 amps may give you problems with the starting surge on motors tripping the breaker on the Landlord's side.