I'm pretty new to this but I know that in three phase power, when I'm metering line to line its usually at 208V, but I've been told that line to line meters at 240V. I don't know what would cause for it to meter different. Does it matter whether its WYE or Delta? Or is it only 208V when there is a common neutral or ground? I refer to USA and Canada.
Electronic – line to line voltage supposed to meter at
multimeterthree phasevoltage
Related Solutions
As long as the system is balanced, there's no voltage from one end of the neutral to the other, so no current will flow, regardless of its impedance.
You might be having a High Leg Delta type of supply like on the picture 
Which might explain why you see 240V between the neutral and phases. Please recheck voltage again to make sure that this is the case.
In other case you should have either 277V line voltage or 415V phase voltage
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Best Answer
Here are common arrangements in the US and Canada, taken from a cached FAQ from Schneider Electric:
The 120/208VAC is common in residential complexes and some commercial situations (not ordinary houses, where single phase 120/240 is standard). In industrial installations you find other 3-phase options. For example, in one building I frequent the office lights operate from 347VAC, but phase-to-phase is 600VAC (Canada) so relatively heavy equipment such as screw compressors can be used. 277/480 would likely be used in the US.
Probably some huge houses are wired with 120/208 line-to-line.
As you can see, there are a few delta options with 240VAC.