ACCORDING TO ME, IT WOULD STILL REMAIN AN ORDINAL SCALE OF MEASUREMENT . CONSIDER AN ANALOGY OF SAY RANKS GIVEN TO STUDENTS IN A CLASS. THE DIFFERENCE IN MARKS BETWEEN THE STUDENT WHO SECURED THE FIRST POSITION AND THE ONE WHO STOOD SECOND MAY NOT BE THE SAME AS THAT OF BETWEEN THE SECOND AND THIRD. THEREFORE IT WOULD NOT BE UNWISE TO CONSIDER GRADES OR OTHER DATA WHEREIN WE GET SLABS( LABELS WITH RANGES) TO CONSIDER IT AS ORDINAL SCALE.
IN PRACTICAL CASES , THE SLABS WE USE CANNOT BE DISCONTINUOUS. MOREOVER, SINCE IT IS AN ORDINAL SCALE, NO QUESTION ARISES OF WHETHER IT IS CONTINUOUS OR DISCRETE. THE QUESTION IS VALID IF IT IS NUMERICAL VARIABLE.
HOPE IT HELPS!!