Aims. We attempt to develop a new asteroseismic diagram and investigate its characteristics, based on the ratio "r 01 " of adjacent, average, small separations. Methods. The ratio r 01 is defined following the asymptotic formula of stellar p-modes. Using the low-degree, theoretical, numerical value of adiabatic frequencies of stellar model, we compute the ratio r 01 and construct an additional asteroseismic diagram. Results. The additional asteroseismic diagram, which is similar to the C-D diagram (i.e. the famous asteroseismic HR diagram, socalled Christensen-Dalsgaard diagram), represents a composite of the average, large separations Δν and the ratio r 01 of the adjacent, small separations. A distinct separation is identified between the effects of varying both mass and age. The diagram can therefore provide information that is complementary to that provided by a C-D diagram, which can be used to estimate directly both the stellar mass and evolutionary state. Interestingly, the age of star can be derived from the new asteroseismic diagram. Furthermore, we investigate the parameter r 01 , which can be a useful direct indicator of stellar age.