Beware. You might give your landlord the idea that he deserves to be paid every thirty days, or that he might demand five days extra rent at the end of the year.
You are paying by the month, not by day.
However long the month is, it is still a month.
If you wanted to increment by fluctuating value, then you should pay more for February than June, because shelter is more crucial when weather is bad.
I don’t doubt it was a serious question, but I think you’ve gotten the right answers. Over the course of a year, your rent averages out to be about the same every month.