Eeyore... If you are taking medium acting steroids - you are simply just going on the steroids that are still there IMHO. I agree on pred that every other day is probably easier and somewhat less damaging, but you have to know how pred works and how the body normally works.
Prednisone lasts 18-36 hours.
http://www.globalrph.com/corticocalc.htm
And a normal body has a diurnal rhythm that has peaks in the morning, starts to fall in the late afternoon, with a sharp fall to near zero around midnight. Prednisone can last longer than a full peak especially if one takes more than a suppressive dose which is 5mg. However, pred is not a fast acting steroid so it does not kick in right away (hence why it is not used in emergencies for adrenal issues) so it may take 2-4 hours to start working once it is taken.