If the wall is laterally supported by the stairs it might not be a tall wall at all, but your stairs don't show on your drawing. If the partitions are only 7'-4" apart, build the walls just like the rest of the house with the double top plate running through at 8' (or whatever the first floor height is). Frame the 2nd floor wall directly on that double plate, or if you need more lateral support, which I doubt,build a box beam of 2 floor joists to match the floor assembly depth and then frame the upper wall exactly like the rest of the 2nd floor walls. You don't even need the partitions to brace this, the floor assembly will take this little bit of wind loading.