day is 0400 to 0400 of next day in cubes

hello,

I had strange requirement my day should be from 0400hrs to 0359hrs of next day, but the date should be same of that day

example if we consider 11-12-13 it should be 0400hr of 11-12-13 to 0359hrs of 12-12-13 and the date should represent as 11-12-13

i build a cube to represent the day and hourly data how can i get the data according to the above requirment,

if i select day it should get date from 0400 to 0359hrs and if add hourly to that cube if should get the same 0400 to 0300 individually

Any idea would be greatly appreciated