A moment magnitude scale

The nearly coincident forms of the relations between seismic moment M0 and the magnitudes ML, MS, and Mw imply a moment magnitude scale M = ⅔ log M0 ‐ 10.7 which is uniformly valid for 3 ≲ ML ≲ 7, 5 ≲ Ms ≲ 7½, and Mw ≳ 7½.