Hyperfine structure of muonium for then=2level

The results of a calculation of the muonium hyperfine structure for the $n=2\mathrm{}$ level are reported here. This calculation includes all recoil corrections through order ${\alpha }^5$. The results presented here differ markedly with those previously reported. The reason for this difference is explained. A further discussion indicates that results presented here are appropriate for an experimental comparison.