[sionnsar]

Not only that, one of the countries on the northern part of South America is 45 or 50 minutes off the hour.

I don't think Fiji crosses the dateline but there are two places that do just what you noted: some island owned by NZ, and (I think) Anadyr, Russia.

[sionnsar]

Hm. That one’s 30, but I remember there being one oddball.