In Live Letter LLIII, this answer was given:
Amdapor was founded around year 300 of the Fifth Astral Era, with the War of the Magi culminating in 1510 before the Sixth Umbral Era/Calamity of Water (indeterminate length). This was followed by the Sixth Astral Era, lasting close to sixteen centuries, which led up to the events of Dalamud's fall; the Seventh Umbral Era we're all familiar with.Q17:
In the Eorzea Encyclopedia II it mentions that the statues found within Amdapor were made in the image of transcendent beings from yet another plane. Was this referring to the Sin Eaters from the First?
A17:
In the sense of "if you look back at the Lore book, you notice certain things," we did this intentionally.
Taking all this into account, the Ancient City was founded approximately 2,780 years ago (give or take a few with the Sixth Astral Era, the length of which is unclear) if I'm doing the math right. As we learn in Shadowbringers, time flows differently on the First than on the Source. We experience it as being greatly accelerated, with only a few days of comatose scions on the Source aging their spirits several years on the First.
The Flood of Light happened a century ago on the First, which means that with a reference point on the Source, Sin Eaters have only been around for perhaps a few weeks or months, provided the accelerated flow of time remained consistent during this period through the events of Shadowbringers. (Can time flow slower on the first? I don't remember if that was confirmed.)
Yoshi-P's answer along with that line from Encyclopedia Eorzea implies that the Amdapori built their Guardians in the image of Sin Eaters in order to protect themselves from the subjugation of Mhach fifteen hundred years ago. However, it seems as though Sin Eaters have only existed for weeks, let alone for anywhere between 1,500 to 2,800 years Source-time. It stands to reason that the Amdapori were mingling with things that had yet to exist for several tens, or perhaps even hundreds of thousands of years on the First.
Now, as I said, I'm not sure if time on the First can progress slower relative to its passing on the Source, but prior to our arrival, time was flowing at an accelerated rate to what we experience, which caused the scions to age rapidly. As the Exarch beckons us, it slows to a period of "near-equivalence." Given that time was accelerated just before we arrived, it stands to reason that the passage of time during the age since the Flood of Light happened was also accelerated, or at the very least, intuition tells us it's unlikely for the flow of time to have fluctuated so wildly in the span of a mere century that it went from source-days corresponding to first-years, to grinding to a halt with source-millennia being a first-century, all coincidentally in time for us to arrive moments before the Rejoining of the First to the Source.
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