Moment magnitude estimates are about the same as Richter magnitudes for small to large earthquakes. But only the moment magnitude scale is capable of measuring M8 and greater events accurately.
Moreover, MMS measures rock movement along a fault. They accurately measure larger earthquakes that can last minutes, affect a much larger area and cause more damage. Moment magnitude can measure local Richter magnitude (ML), body wave magnitude (Mb), surface wave magnitude (Ms)
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