I might be misunderstanding, but are we talking about the same thing? I'd describe slower clock divisions as coarser, not finer, and not requiring any prediction of the future. Are you talking about the opposite scenario of clock multiplication for a faster clock?
It might be because when I wrote /32 or /64 I was using the opposite of Yarns' display convention, in which I think /16 is actually faster than /4. What I meant was 1/32 or 1/64 of the tempo frequency in hz.
Essentially, it's about making a sequence that's extremely slow relative to the tempo.