  A set is nontypical in the Russell sense, if it belongs to a countable
ordinal definable set. The class HNT of all hereditarily nontypical sets
satisfies all axioms of ZF and the double inclusion HOD $\subseteq$ HNT
$\subseteq$ V holds. Solving a problem recently proposed by Tzouvaras, a
generic extension L$[a,x]$ of L, by two reals $a,x$, is presented in which
L=HOD $\subsetneqq$ L$[a]$=HNT $\subsetneqq$ V=L$[a,x]$, so that HNT is a model
of ZFC strictly between HOD and the universe.
