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Aims. The purpose of this work is to investigate a new frequency separation of stellar p-modes and its characteristics. Methods. Frequency separations are deduced from the asymptotic formula of stellar p-modes. Then, using the theoretical adiabatic frequencies of stellar model, we compute the frequency separations. Results. A new separation σ_l-1 l+1(n), which is similar to the scaled small separation d_l l+2(n)/(2l+3), is obtained from the asymptotic formula of stellar p-modes. The separationsdoi:10.1051/0004-6361:20077082 fatcat:deddiioqj5ghfaf7t5arcknety