Whether open or closed, these are the voltages you see on a 120/240 delta. One winding is center tapped and grounded giving 120 V on the adjacent phases to ground, and 208 on the wild leg.
Suggestion: Follow your conductors from your building (if this is the case) until you see a pole with two overhead transformers. They are connected in open delta connection on their secondary side. One transformer is center tapped to obtain neutral and 120V to each winding end of the transformer. The transformer end to the other end of transformer will have 240V. The center tapped transformer connection with respect to the other transformer far end not connected to the center tapped transformer will exhibit 208V with respect the center tapped point called neutral.