Is there a name for the subset of the rationals where the denominator is coprime with a specific integer?

Question

Considering a natural integer $n$ ($n>1$). Is there a name for the set of all rationals which can be written as $p/q$ with $p$ and $q$ integers and $q$ coprime with $n$ ?

For $n=2$ it would be all the rationals with an odd denominator, for $n=3$ all rationals whose denominator is not congruent to zero mod 3, etc.