Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type

We give a derived equivalence classification of algebras of the form $\hat{A}/\langle\phi\rangle$ for some piecewise hereditary algebra $A$ of tree type and some automorphism $\phi$ of $\hat{A}$ such that $\phi(A^{[0]}) = A^{[n]}$ for some positive integer $n$.