The strong hierarchies of the masses and CKM mixing elements of the Standard Model fields suggest new physics providing some dynamical explanation. In this talk we review different philosophies to attack this puzzle in relation to the Higgs hierarchy problem, using partial compositeness as a guiding example. Given the strong experimental bounds from flavour physics and the lack of clear signals of new physics at LHC, a multi-scale dynamical explanation of the flavour hierarchies emerges as the most natural candidate.