The characters assembled on Pompey's galley at Misenum who sing
Pompey has indeed refused Menas' suggestion to murder his guests, but wishes that Menas had done it without telling him. The fact that Lepidus gets stinking and boasts of his power, reveals his inferiority to the others, and it is pretty clear that the Machiavellian Octavius is not quite as tight as he pretends.
Again, when Iago incites Cassio to drink and starts singing
And let the can clink it
we know him to be cold sober, for one cannot imagine any mood of Iago's which he would express by singing. What he sings is pseudo-impromptu. He pretends to be expressing his mood, to be Cassio's buddy, but a buddy is something we know he could never be to anyone.
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Ariel's songs in
For Ariel is neither a singer, that is to say, a human being whose vocal gifts provide him with a social function, nor a nonmusical person who in certain moods feels like singing. Ariel
If Ariel's voice is peculiar, so is the effect that his songs have on others. Ferdinand listens to him in a very different way from that in which the Duke listens to
Suppose Ariel, disguised as a musician, had approached Ferdinand as he sat on a bank, "weeping against the king, my father's wrack," and offered to sing for him; Ferdinand would probably have replied, "Go away, this is no time for music"; he might possibly have asked for something beautiful and sad; he certainly would not have asked for
As it is, the song comes to him as an utter surprise, and its effect is not to feed or please his grief, not to encourage him to sit brooding, but to allay his passion, so that he gets to his feet and follows the music. The song opens his present to expectation at a moment when he is in danger of closing it to all but recollection.
The second song is, formally, a dirge, and, since it refers to his father, seems more relevant to Ferdinand's situation than the first. But it has nothing to do with any emotions which a son might feel at his father's grave. As Ferdinand says, "This is no mortal business." It is a magic spell, the effect of which is, not to lessen his feeling of loss, but to change his attitude towards his grief from one of rebellion—"How could this bereavement happen to me?"—to one of awe and reverent acceptance. As long as a man refuses to accept whatever he suffers as given, without pretending he can understand why, the past from which it came into being is an obsession which makes him deny any value to the present. Thanks to the music, Ferdinand is able to accept the past, symbolized by his father, as past, and at once there stands before him his future, Miranda.