Hi,
I have no idea why Valium is scheduled to be taken every six hours when it has a very long half-life (36-200 hours). Valium need not be taken more than twice a day. Klonopin has an averagingly-long half-life (18-50 hours), so most of our members take it three times per day, but many are fine taking it just twice.
Different sources recommend differing equivalent doses. Ashton equates about 20mg Valium to 1mg Klonopin, but some disagree. However, I note that more sources are beginning to equate 20mg Valium to 1mg Klonopin, including the Clinical Handbook of Psychotropic Drugs, 4th revised edition, Bezchlibnyk-Butler et al. editors (Clarke Institute of Psychiatry, Toronto), Hogrefe & Huber, which should be a good enough source for any GP.
What constitutes an equivalent dose will vary from individual to individual, but I think your pharmacist is going to much closer the mark.