  In a recent work of Anderson and Hu, the authors constructed a measure that
was $p$-adic and $q$-adic doubling, for any primes $p$ and $q$, yet not
doubling. This work relied heavily on a developed number theory framework. Here
we develop this framework farther, which yields a measure that is $m$-adic and
$n$-adic doubling for any coprime $m,n$, yet not doubling. Additionally we show
several new applications to the intersection of weight and the function
classes.
