Measurements of αδ with the DELPHI detector at LEP

The data collected with DELPHI during the LEP1 period is used to perform a simultaneous lit to the strong coupling constant alpha(s) in 2(nd) order perturbation theory and to the renormalization scale x(mu). The results are compared to alpha(s) fits in 2(nd) order perturbation theory with fixed scale x(mu) and to other theoretically motivated scale setting methods. To determine the energy dependence of alpha(s), event shape distributions and their mean Values are measured for root s = 48 GeV to 189 GeV. The strong coupling alpha(s) is extracted in O(alpha(s)(2)), Next to Leading Log Approximation (NLLA) and in a combined scheme using hadronisation corrections-evaluated with fragmentation model generators, and an analytical power ansatz.