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@essojadojef in my initial idea, I would first find the nearest product of 32 for x and y and then do something with the remainder. It's that what you mean? When the mouse position is 763x523 for instance, I can't see how pos_x being 986 and pos_y 240 would bring me much further. Or don't I understand?

763÷32 is 23,... and 23×32=736 which gives me 27 to work with. Is this the number to work with? And 11 for y. I would imagine that being a good option.

@TommyvanSon The axis x + y and x - y are diagonal lines aligned with the diamond grid.

Here the red line is made of point where x - y equals 0, and the blue line is made of points where x + y give the same result (not 0, that line would be outside of the screen). Then you perform the division and remainder on the new coordinate system.

@TommyvanSon This works for all points because when moving down-right you increase both x and y, so the result of x - y doesn't change (first axis), and when moving down-left you increase y and decrease x, so the result of x + y reamins the same (second axis).

The results may be different depending on if your engine uses y positive for up or down but the concept should remain the same.

@TommyvanSon Another approach I just realized is to split the grid (the original screen-aligned one) into smaller cells the size of a quarter of a tile and align that grid so only two diamonds are in each cell. Firsst you calculate which cell of the grid the mouse is in, then which of the two diamond for that cell.