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We present for the first time (to our knowledge) experimental data on the intrinsic relaxation oscillation frequency in a twin-ridge laser array. We present a detailed analysis of the frequency response of the device, both under single-ridge operation as well as in twin ridge. We demonstrate the strong influence that the injection current on one ridge has over the relaxation oscillation frequency of the other. Using previously defined dependencies for the twin ridge, we link the imaginary part of the coupling constant to the observed variations in the relaxation oscillation frequency, proposing a procedure to determine a parameter that so far has been used as a free adjustment value.