I'm in the early stages of reading The Glass Bead Game by Herman Hesse and the protagonist, Joseph Knecht, is visited by a musical maestro. The two play a song together and then the master asks the pupil a curious question:
"Do you happen to know what a fugue is?" the Master now asked.
Knecht looked dubious. He had already heard fugues, but had not yet studied them in class.
"Very well," the Master said, "then I'll show you. You'll grasp it quicker if we make a fugue ourselves. Now then, the first thing we need for a fugue is a theme, and we don't have to look far for the theme. We'll take it from our song."
This struck me as being oddly specific: I wasn't sure exactly what a fugue was and had to look it up, and I'd wager that most readers who weren't fairly familiar with classical music wouldn't either. It seemed a particularly explicit way to talk about something when a number of more generic musical terms would have sufficed, so I presumed it was meaningful in some way.
Looking it up, I was surprised to discover that fugues are a recurring motif in the rest of the novel.
What do fugues represent, and why did Hesse choose this musical term specifically?