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Light spoilers:
There's a puzzle you've got to solve to determine one part of the equation, then it's a simple matter of matching the islands to the proper equations.
Heavier spoilers:
One of the papers in Ghen's lab tells you about a base frequency and adjustments that need to be made for each dome. The domes correspond to islands and each has a corresponding symbol. Another paper nearby includes formulas + or - the base frequency value, which you can determine by solving another small puzzle in the lab. Finally, the slider colors represent islands as well, which can be found in another area.
Since there's ultimately only one color order you can set the sliders in, simply figuring out the correct set of numbers should let you set the sliders correctly.
Thanks! I'd overlooked the papers lying next to the device. lol
The specific values do change.
Are you sure you also got the rest of the puzzle correct? Nothing happens until it's all finished.
I had issues at first too. I believe what made the difference was realizing that the first "tick" of the slider is 0, not 1 (or maybe I'm reversing that, but either way, it made a difference of 1 for all sliders), and then it worked.
In the lab the only colour i can "make" is really bright white.
I don't understand the number system what so ever. But i i got 4 of them i think(thanks to the steam guide), but the last that looks like an [N I] nope, no chance.
The base value needs to be treated as 0. So you count to 9 first for all of them, and do your plus or minus modifications from there.