The quality of a triple $(a,b,c)$  of coprime positive integers such that $a + b = c$, is $$q=q(a,b,c) = \frac{log(c)}{log(rad(abc))}$$ Then $a+b = c = rad(abc)^{q(a,b,c)}$.    
The triple with the highest known quality is $(2, 3^{10} \cdot 109, 23^5)$, with $q = 1.6299...$  
If the abc conjecture is true then the quality of a triple should be bounded (expected by $2$).  


Assuming Mochizuki's proof correct, does it gives an explicit upper-bound for the quality of a triple?