Hum, no. There is no reason not to change it (except for inertia, what is a better reason than any you will see). It is logical (once you get over the fixation with 60), but none of that logic is a good reason to keep it.
This reminds me of the discussion the other day about how the A_n paper sizes are superior because you can fold them in half to get the next size down. Just like having a more logical calendar - it would be nice but not very useful. The value is in the network effect of everyone using the same system (so kind of like the "inertia" you mentioned).