A moment magnitude scale

The nearly coincident forms of the relations between seismic moment M 0 and the magnitudes M L , M S , and M w imply a moment magnitude scale M = ⅔ log M 0 ‐ 10.7 which is uniformly valid for 3 ≲ M L ≲ 7, 5 ≲ M s ≲ 7½, and M w ≳ 7½.