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Please don't question my curiosity.

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Bulbapedia says the chance increases to 1/1024 at a chain greater than or equal to 70, but this dataminer claims the chances increase much more than that at multiple intervals. From my experience chaining, I am much more inclined to believe the dataminer.

The dataminer's grid shows that the shinychance increase is caused by the game rerolling the PID at later parts of the chain if it isn't shiny; 5 times at a chain of 11-20, 9 times at a chain of 21-30, and capping out at 13 rerolls at a chain length greater than 30. Additionally, if the player has the Shiny Charm, the game rerolls two more times, regardless of chain length.

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Good answer. Would always question Bulbapedia on subjects like this.
The 1/1024 chance was transcribed from here: https://gbatemp.net/threads/is-anybody-researching-sun-moon-shiny-chaining.450904/
The two links seem to contradict, so now the question is who to trust more.
As I said, I'm much more inclined the believe the second source. I've been shinyhunting via chain a *lot* lately (no charm), and the rate I'm getting them at adheres much more to the second source than to Bulbapedia.
Okay, Bulbapedia now matches your source.
Hmm maybe I shouldn't have taken that at face value. Did some poking around and found another resource that backs the 1/1024 chance: https://im.reddit.com/r/ShinyLab/comments/5f91fi/gen_vii_important_notes_about_shiny_hunting_on/
But it seems wwwwwwzx's mines are more widespread, and the guy seems a reputable RNG researcher anyway. I'd back the PID reroll since that's what the game does with Shiny Charm to begin with.