Above the house of David - This choir or procession went above (or beyond) the old palace of David, following the line described in Nehemiah 3:16-26, on their way to the eastern wall.
Related Commentaries of Nehemiah 12:37
Nehemiah 12:37
37 And at the fountain gate, which was over against them, they went up by the stairs of the city of David, at the going up of the wall, above the house of David, even unto the water gate eastward.