The info listed on the main site is actually a little misleading to a new player, as it's actually written with the time frame of the original FFXIV (version 1.0), which indeed was set in the year 1572 Sixth Astral Era. However, with the fall of Dalamud during the Battle of Carteneau and the resulting Calamity, the era changed from the 6th Astral Era, to the 7th Umbral Era - although it's a little unclear, it's believed the beginning of FFXIV ARR begins around the year 5, 7th Umbral Era.
And of course, if you've finished the main scenario, you'll know
that with the defeat of the XIVth Legion and Gaius's death, effectively ending the Garlean invasion of Eorzea, the leaders of the three citystates officially declare the 7th Umbral Era over, and the beginning of the 7th Astral Era - naturally some may consider that a little premature, what with the Ascians still plotting trouble and the beastmen continuing to summon, but the immediate threat to Eorzea, the Garleans, were eliminated effectively, so thus declaring the 7th Astral Era would at least serve a much needed morale boost for the public at large if nothing else.
But I digress.