Transposing key signatures in other tonality systems

Hi,

I got 53 EDO tonality system whose key signatures does not transpose, and another 72 EDO that transposes.
is it because the 53 system does not divide by 12?

Certainly the kinds of transpositions you can perform on music in 53-EDO are by their nature more limited than those that divide neatly by 12 or 24.