\begin{table}%ta.1 \par \caption {\label{Tab:pulsation}Pseudo-orbital solutions for the Mira S star HD~110~813 (S~UMa) and the semi-regular carbon star HD~76~221 (X~Cnc), based on the complete data set but the last two points (see Table~\ref{Tab:Miradata}). } %\centerline {\small\begin{tabular}{llll} \hline\hline & HD 110~813 & HD 76~221 & LSP$^a$\\ \hline $P_{\rm puls}$ (d) & 222 & 195: & \\ ``$P_{\rm orb}$'' (d) & $576\pm1.9$ & $530\pm 8.9$ & 300--1000\\ $e$ & $0.29\pm0.09$ & 0 & 0.08, 0.32--0.37\\ $\omega$ ($^\circ$) & $178\pm17$ & -- & 240--320\\ $T$ (JD$-$2\ts400\ts000) & $52~839\pm23$ & $44541\pm75$\\ $K$ (\kms) & $8.5\pm0.6$ & $1.6\pm0.2$ & 1.6--3.1\\ $V_0$ (\kms) & $3.6\pm0.5$ & $-5.9\pm0.1$\\ $f(M)$ (\Msun) & $3.2\times 10^{-2}$ & $(2.3\pm0.9)\;10^{-4}$ & $2\times 10^{-4} {-} 1.3\times 10^{-2}$\\ $a_1 \sin i$ ($10^6$ km) & 64.4 & $11.8\pm1.5$\\ $N$ & 17 & 13\\ $\sigma\rm (O{-}C)$ (\kms) & 1.82 & 0.44\\ \hline \end{tabular}} \par \smallskip $^a$ The ranges found by \citet{Hinkle-2002} for semi-regular variables with long secondary periods. \end{table}