Q. Rov you mentioned recently (question 4960) that it is a very valuable to recite the complete Shira of Oz Yashir every day since Zohar says that it brings the forgiveness to all our sins. Does that actually mean to sing it with a tune?

A. On question 135 regarding reciting the Shira with joy during a time of Aveilus, we wrote: “Zohar (B’shalach and Terumah) and Midrash, quoted by many Poiskim, exalt the ones who recite Shiras Hayam with great joy, with detailed care, and with its cantillations.

They are considered as if they experienced themselves the Exodus of Mitzraim and Hashem saves them and forgives all their sins. (Pri Chodosh, Mishna Berura 53, et. al.)

On question 3114 regarding the Shira of women we wrote: Historically women sang the Shira as mentioned in Parshas Beshalach (15: 20,21) “Miriam, the prophetess, Aaron’s sister, took a timbrel in her hand, and all the women came out after her with timbrels and with dances. And Miriam called out to them, Sing to Hashem.” It does seem to be that it was actual singing with a tune.

We also added that Should a man who came late to davening and omitted the Shira to be able to daven with the minyan, say the shira after davening with great simcha. Shulchan Aruch (O.H. 52) rules that one who missed Pesukei Dezimra before the Amida should recite them after. It is reasonable that he has to recite the Shira in a way similar to before.
Horav Shlomo Miller’s Shlit’a opinion is similar.Horav Yaakov Hirschman Shlit”a maintains that the shira above does
not have to be sung, since Shulchan Aruch (O.H. 51: 9) mentions only
that Mizmor Letodah has to be said in a song, since all other musical
chapters will be annuled in the future with the exception of that
Mizmor,