I’ve used these log-linear history in a few pieces of code. There is some configurability in the abstract - you could choose a different logarithm base.

In practice none of the implementations seem to provide that. Within the each set of buckets for a given log base you have reasonable precision at that magnitude. If your metric is oscillating around 1e6 you shouldn’t care much about the variance at 1e2, and with this scheme you don’t have to tune anything to provide for that.