Extra Day in a Year

No.13498674 ViewReplyOriginalReport
We know that one year has 365 ¼ days (365 days, 5 hours, 48 minutes, and 46 seconds, to be precise, yadda yadda).

One day is the rotation period of the Earth.
But in actuality, wouldn't the Earth complete ONE LESS rotation per year, because one DAY would be accounted for by the revolution?
So the Earth rotates [364 TIMES] on its axis in one year, not 365(plus the extra time)

Consider the following scenario:
A planet with no rotation with respect to its star system would have 1 day = 1 year, because light would go around once hitting all parts of it.
If it rotated once, you would get either a tidally locked planet or 2 days = 1 year.
Continue in the latter direction to get 3 days = 1 year, and so on to get to 365 days = 1 year
So the planet rotated only 364 times with respect to its star system.

Is my assumption to take the star system as the reference point wrong? Does the star's own rotation mean that the whole systems and all orbits are also rotating?
Help me make sense of this, /sci/anons.