  We present a new approach for determining the strong coupling $\alpha_s(Q)$
over the entire perturbative range of validity, for scales from
$\Lambda_{\mathrm{QCD}}$ up to the Planck scale ${\sim}10^{19}$\,GeV, with the
highest precision and using the data of just a single experiment. The results
obtained with this method are consistent with world averages and exhibit
improved precision with respect to previous reports.
  \pacs{12.38.Bx, 13.66.Bc, 13.66.Jn, 13.87.-a,11.10.Gh
