  Using the solitonic solution-generating technique we rederived the
one-rotational five-dimensional black ring solution found by Emparan and Reall.
The seed solution is not the Minkowski metric, which is the seed of
$S^2$-rotating black ring. The obtained solution has more parameters than the
Emparan and Reall's $S^1$-rotating black ring. We found the conditions of
parameters to reduce the solution to the $S^1$-rotating black ring. In addition
we examined the relation between the expressions of the metric in the
prolate-spheroidal coordinates and in the canonical coordinates.
