turnoff mass 0.9M$_{\odot}$. Since we are computing pulsation periods, it is important to get the radii (and hence $T_{\rm eff}$) of the models correct. In order to realize this condition, the mixing-length in the convection theory was set so that the models coincided with the giant branch of 47Tuc. Figure \[hrd\] shows the models in the HR-diagram. The giant branch of the models clearly passes through the region of the giant branch occupied by the variables.

[rccccrrrr]{} $L$/L$_{\odot}$ & $M$/M$_{\odot}$ & $M_{\rm c}$/M$_{\odot}$ & $\ell$/H$_p$ & logT$_{\rm eff}$ & P$_0$ & P$_1$ & P$_2$ & P$_3$\
\
794 & 0.9000 & 0.4002 & 1.80 & 3.5987 & 27.6 & 18.1 & 12.5 & 9.6\
1000 & 0.9000 & 0.4136 & 1.80 & 3.5906 & 36.1 & 23.2 & 15.8 & 12.3\
1259 & 0.9000 & 0.4274 & 1.80 & 3.5818 & 47.7 & 29.8 & 20.1 & 16.2\
1585 & 0.9000 & 0.4417 & 1.80 & 3.5724 & 64.0 & 38.2 & 25.6 & 21.8\
1995 & 0.9000 & 0.4565 & 1.80 & 3.5621 & 87.3 & 49.2 & 33.1 & 29.4\
2239 & 0.9000 & 0.4640 & 1.80 & 3.5567 & 102.6 & 56.0 & 38.2 & 34.0\
\
