Jim Jordan points out that Daniel 3 lists seven ranks of Nebuchadnezzar’s officers, and also seven kinds of musical instruments. The numerical link perhaps points to a connection of musical and political performance, musical and political “orchestration.”
Further, the word for “mighty man” (the Aramaic equivalent of gibbor ) is used twelve times (suppressed in most English translations, but found in veres 8, 12 [2x], 13, 20 [2x], 21, 22, 23, 24, 25, 27). And the story, of course, shows that the true mighty men are the Jewish ones, the mighty men who come from the twelve tribes.
