  We propose a novel mechanism for cancelling the leading order contribution to
the potential in composite Higgs scenarios. The mechanism relies on the
splitting of a real representation of the global symmetry into a complex
representation and its conjugate of the unbroken group. We identify two cosets
one of which includes a custodial symmetry. A numerical analysis is performed
in a phenomenological three-site model and the resulting fine-tuning is
analysed. The cancelling of the leading order potential results in a drastic
reduction of the fine-tuning. For a symmetry breaking scale of the strong
sector as high as $f=1600$ GeV, fine-tuning can be as good as $10\%$ or even
better. We discuss a possible interpretation in the 5D holographic dual. Unique
signatures of the model include quarks with baryon number $B=2/3$ with highly
distinctive decays which can be looked for at the LHC.
