Empirical relations describing the attenuation of the maximum trace amplitudes recorded by the Wood-Anderson horizontal seismometer in the area of Greece are determined. Based on these relations, a new procedure for calculating accurate local magnitudes for earthquakes in Greece is introduced. Furthermore, the consistency of the currently calculated surface-wave magnitudes by a formula proposed by Papazachos and Vasilicou (1966) is assured, and relations between ML, mb and MS scales are suggested. The relation between ML and mb as well as between MS and mb consis of two linear segments intersecting at the points (3.7, 4.3) and (4.3, 4.3), respectively, while the MS values are by 0.5 higher than ML.

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