R a-T a-B based sintered magnet

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To provide an R-T-B based sintered magnet having high B r and high H cJ while suppressing the content of Dy. Disclosed is an R-T-B based sintered magnet represented by the formula : uRwBxGayCuzAlqM(balance)T, where R is composed of light rare-earth element(s) RL and heavy rare-earth element(s) RH, RL is Nd and/or Pr, RH is Dy and/or Tb, T is Fe, and 10% by mass or less of Fe is capable of being replaced with Co, M is Nb and/or Zr, inevitable impurities being included, and u, w, x, y, z and q are expressed in terms of % by mass; RH accounts for 5% by mass or less of the R-T-B based sintered magnet, 0.4 ‰¤ x ‰¤ 1.0, 0.07 ‰¤ y ‰¤ 1.0, 0.05 ‰¤ z ‰¤ 0.5, 0 ‰¤ q ‰¤ 0.1, and 0.100 ‰¤ y/(x + y) ‰¤ 0.340; v = u - (6± + 10² + 8³), where the amount of oxygen (% by mass) is ±, the amount of nitrogen (% by mass) is ², and the amount of carbon (% by mass) is ³; and v and w satisfy the following inequality expressions : v ‰¤ 32.0, 0.84 ‰¤ w ‰¤ 0.93, and -12.5w + 38.75 ‰¤ v ‰¤ -62.5w + 86.125.