“ He said to them: They may be offered. They said to him: Since their atonements are not equivalent, how can they be offered [one for the other] ? He said to them: They all come to atone for the impurity of the Temple and its sacred objects. Mishnah 5
Rabbi Shimon ben Yehudah says in his own name: The he-goats of the New Months atone for a pure person who ate an impure [food] item; Those of the Pilgrimage Festivals include more than them, for they atone for a pure person who ate an impure [food] item, and for [a sin while impure] that has no recognition either at the beginning or at the end ”