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Context. The use of ratios of small to large separations as a diagnostic ofstellar interiors. Aims. To demonstrate that model fitting by comparingobserved and model separation ratios at the same n values is in error, and topresent a correct procedure. Methods. Theoretical analysis using phase shiftsand numerical models. Results. We show that the separation ratios of stellarmodels with the same interior structure, but different outer layers, are notthe same when compared at the same n values, but are the same when evaluated atthe same frequencies by interpolation. The separation ratios trace the phaseshift differences as a function of frequency not of n. We give examples frommodel fitting where the ratios at the same n values agree within the errorestimates, but do not agree when evaluated at the same frequencies and themodels do not have the same interior structure. The correct procedure is tocompare observed ratios with those of models interpolated to the observedfrequencies.

On the use of the ratio of small to large separations in asteroseismic model fitting