\begin{table}%t4 \caption{Definition of the boundary lines of the sequences in the $K$-band $PL$-diagram in Fig.~\ref{fig:PL}. Relations are of the form $K_{\rm min,max}= {\rm slope_{min,max}} \log P + {\rm zp_{min,max}}$, with~$K$ the dereddened magnitude on the \M~system.}\label{tab-seq} %\centering \par \begin{tabular}{lrrrrrrl} \hline \hline & $K_{\rm max}$ & $K_{\rm min}$ & Slope$_{\rm min}$ & $z$p$_{\rm min}$ & slope$_{\rm max}$ & $z$p$_{\rm max}$ & Comment \\ \hline \multicolumn{8}{c}{SMC} \\ A- & 12.7 & 13.5 & --3.35 & 17.23 & --3.35 & 17.85 & slope from Ita (priv. comm.) \\ A+ & 10.0 & 12.7 & --3.45 & 17.10 & --3.45 & 17.85 & slope from Ita (priv. comm.) \\ B- & 12.7 & 13.5 & --3.35 & 17.85 & --3.35 & 18.77 & slope from Ita (priv. comm.) \\ B+ & 10.0 & 12.7 & --3.45 & 17.95 & --3.45 & 19.00 & slope from Ita (priv. comm.) \\ C & 10.0 & 12.7 & --3.85 & 20.05 & --3.85 & 21.45 & slope from Ita (priv. comm.) \\ D & 10.5 & 13.0 & --3.85 & 21.55 & --3.85 & 23.50 & slope from Ita (priv. comm.) \\ \multicolumn{8}{c}{LMC} \\ A- & 12.1 & 13.5 & --3.35 & 16.70 & --3.35 & 17.50 & slope from Ita (priv. comm.) \\ A+ & 9.4 & 12.1 & --3.45 & 16.50 & --4.00 & 18.45 & \\ B- & 12.1 & 13.5 & --3.35 & 17.50 & --3.35 & 18.50 & slope from Ita (priv. comm.) \\ B+ & 9.4 & 12.1 & --4.00 & 18.55 & --4.00 & 19.80 & \\ C & 9.4 & 12.5 & --3.80 & 19.50 & --3.80 & 20.90 & \\ D & 9.8 & 13.0 & --3.85 & 21.20 & --3.85 & 23.90 & slope from Ita (priv. comm.) \\ \hline \end{tabular} \end{table}