The other guys did a good job answering. As they said, it’s at least the year 2700 in Destiny. So I’m just here to provide the lore backup, links, and unnecessary in-depth explanations: The Traveler arrived in the Sol system around the year 2014 and Humanity made contact with it shortly after. This is when the Golden Age started. In the Brephos I entry of the Marasenna, Mara reveals that the Golden Age lasted “two centuries,” meaning the Collapse started some time around 2214. [quote]“You love Earth the way all adolescents secretly adore two-century-old video of nai nai and ye ye dancing on New Year's Eve.” https://www.ishtar-collective.net/entries/brephos-i#book-marasenna [/quote] The Black Armory Papers and other lore excerpts let us know that the Collapse didn’t last very long, but most likely lasted between a week and a month. In the Forgeries entry of Stolen Intelligence, the Hidden operative’s report reveals that the City Age has lasted more than 300 years. [quote]“radiocarbon dating clearly identifies the earliest prints as more than three hundred years old.” https://www.ishtar-collective.net/entries/forgeries#book-stolen-intelligence [/quote] Then there’s the general comments that the Dark Ages lasted “centuries.” This means at least 200 years passed, though it’s very likely that the Dark Ages lasted far longer than that. So we can put together this rough estimate: Golden Age: 200 years Dark Ages: 200+ years City Age: 300+ years Total: 700+ years That means Destiny takes place in at least 2700. And here I address the quote from Petra that Archival mentioned, which has been the source of debate due to its lack of clarity: [spoiler]Petra did not say the Dark Ages lasted sixteen centuries. This is a very common misconception, caused by misinterpretation and a lack of understanding of sentence structure (it’s a very small and complex grammatical issue, and it’s very very easy to misunderstand so no one is at fault here except the idiot who invented the English language lol). [quote]Book: The Awoken of the Reef Refusal “She bites back the rest: how she wishes that back in two-thousand-and-whatever, when the Darkness hurled mankind off the height of its Golden Age to plummet sixteen centuries into barbarism, it had done just a slightly better job.” https://www.ishtar-collective.net/entries/refusal#book-the-awoken-of-the-reef [/quote] A strong understanding of sentence structure is needed for this. “Plummet sixteen centuries into barbarism” refers to the Collapse starting the Dark Age and comparing it to humanity’s state 1600 years [u]before[/u] the Collapse. This can not refer to the Dark Age lasting 1600 years, because the placement of the word “into” bars the possibility that Petra was talking about time passing and structures the sentence to refer to a time period in the past. If we wanted the sentence to mean the Dark Ages lasted 1600 years, we would have to change it to say this: “Plummet [u]into[/u] sixteen centuries [u]of[/u] barbarism” This states that 1600 years passed. Simply the placement of the word “into” has a huge effect on the meaning of the sentence. Other changes could be made to the sentence to give it this same meaning or different meanings. Society plummeted into the state they were in 16 centuries before. They plummeted 16 centuries, not [u]for[/u] sixteen centuries. Petra knew that humanity was in a state of barbarism 16 centuries before the Collapse (thanks to the history and information the Awoken had stored in the “Shipspire”), and she was comparing the beginning of the Dark Ages to that Pre-Golden Age history.[/spoiler]

<Golden Ages don't typically last long, but some people definitely lived into their 200s, so it's at least 200 years. The Collapse lasted anywhere from a week to a month. From the rate it took for the Deep to get from Titan to the rest of the system it seemed to take a couple days. However, from the rate it took to get from the other Jovian colonies to Earth, it only seemed like a few hours. It was an attack on multiple fronts. The Black Armory founders seemed to stay in their bunkers for a few days before it was torn open by an unknown entity. However, by the time that happened, everything seemed to be dying down significantly. The Dark Ages and City Age... yeah it's been a while. The whole events of D1 and 2 are somewhere around 700 years in the future at least. The issue comes from Petra who says 16 centuries, which would be almost 2000 years. I'm just going to say somewhere around 1000 and keep it at that until it states otherwise.>

Pre-Golden Age = around now. Golden age - Collapse = 700yr period. Dark Age - City Age = I’d argue is probably around 200yr period. Cayde-6 has been on record for at least 126 yrs and we know he only came around during the City Age or at least very late Dark Ages. Truly we don’t have exact dates, but with previous lore suggesting around 700yrs - 900yrs in the future, I’d say it’s something like that.

The original timeline states the beginning of Destiny, after the Dark Ages, is put 700 years into the future. So we’re in the 2700s-2800s

According to the original viddoc back in 2013/2014 I think it states we are around 700 years in the future, but I honestly don’t know if that was retconned or if they have said anything that changes that.