At the culmination of atonement, the high priest would sprinkle the blood, first of the sacrificial bull, then of the goat, in front of the curtain facing the Ark. In Masechet Yoma Rabbi Elazar describes seeing this curtain, stolen by the Romans, on which were several drops of blood from the bull and goat. This sprinkling had to be performed carefully, as described in Leviticus 16: upward once and downward seven times, and the high priest counted along to ensure he followed this procedure exactly. This paragraph of V'chach Haya Moneh (this is how he would count) is included twice in the Yom Kippur Avoda, once for each of these sacrifices.
As with V'chach Haya Omer, traditionally this paragraph is chanted responsively, and this is evident in many synagogue composers' scores. This setting is one of two melodies by Mombach. Whilst it is the melody I'm most familiar with, the other Mombach setting is the one which appears in the Blue Book.