We do 1/2 (installment + expenses = "rent")
Thus, after 5 years I would have you entered in the land register by gift, proportionally with 8.5%
The 8.5% results from 30,000 / 355,000, that is your cumulative contribution ("rent") divided by the property value.
IMHO this calculation is wrong. At least if expenses (additional housing costs?) are also supposed to be included in the "rent". If you want to calculate so precisely, I advise separating the housing/living costs on one side and the tangible asset on the other. The fact that the partner agreed to this does not make it right.
Example:
One partner owns the house and land, he pays/finances alone. The other contributes 50% of the local usual gross rent. The ownership is not divided.
We have been married for 10 years, have 2 children, and will start construction on the new building in 3 months. Do you think I care that I will pay off the house alone with €2000 a month?
Emphasis mine. You have relativized this in a later post, but I still want to pick up this aspect again.
The real existing marriages I know (parents, parents-in-law, my own) do not know "mine" or "yours." There is only an "ours." My wife's and my income goes into a joint account. What flows out can no longer be assigned. It is relatively easy for us because we both practically entered the marriage penniless (no land, no house). In this respect, we pay off the house together. It logically belongs to both of us, each half. By the way, our incomes are very different (factor 5).
In case of emergency, it will be difficult, I know.