  We show that the coding of rotation by $\alpha$ on $m$ intervals with
rationally independent lengths can be recoded over $m$ Sturmian words of angle
$\alpha.$
  More precisely, for a given $m$ an universal automaton is constructed such
that the edge indexed by the vector of values of the $i$th letter on each
Sturmian word gives the value of the $i$th letter of the coding of rotation.
