How to recreate this "simple" notebook grid in Illustrator?
What I am trying to do is very straight forward, but seems to be way more advanced and complicated that it should be. I have this text that I drew by hand, now I want to make it vector perfect (since it was drawn by hand not all lines are parallel and straight, not all triangles are perfect, that's what I have Illustrator for) - basically it's an accurate sketch, I just have to perfect it in Illustrator.
I used a fairly standard dot grid notebook (to be exact - Fabriano Ecoqua [glued version] A4 notebook), I believe it uses the standard square grid size, except it is dots. I do not have a very accurate or micro ruler, but my guess is that it is between 3.5mm and 4.5mm. Talking in centimeters, I noticed that the dots that lined up (from the 0 mark on the ruler) are the one at 2.5 cm, then again at 9 cm, then again at 11.5 cm, then again at 15.5 cm, then again at 18 cm, then again at 22 cm, then again at 24.5 cm, etc.
It almost perfectly lined up at 5cm, 6,5 cm but it's slightly off so I decided to say the numbers where it seemed to be very precisely lined up.
Do I achieve this precise grid with the grid tool, or could I set up the whole document to be using this grid? How to do it, and what are the accurate measurements to make this grid like the one in the notebook?
What I want to be able to do is, two things:
1. Recreate the exact grid and to have it match the one in the picture (that way when I decrease the opacity of the image, the grids will line up - by this I mean the Illustrator grid and the notebook grid in the picture)
2. Have the Illustrator grid be smaller so it's easier to get the details fine tuned
Here is the image:

Here are images of the grid - the ruler is nicely lined up, but it may seem off in the pictures, I don't know if these pics help, but I included both the centimeter and inch side of the ruler (unfortunately the images seem to be upside down):




