The ratio of small to large separations of stellar p-modes

In previous papers we showed that the ratios of the small to large separations of acoustic oscillations in solar-like stars are approximately independent of the structure of the outer layers, and are therefore diagnostics of the interior structure alone. Here we present similar results for a range stellar models of mass $0.8, 1.0, 1.2, 1.5, 2, 10~ M_\odot$, all of which show this same property.