From NPR...
Looking at Plato's works in their original scroll form, he noticed that every 12 lines there was a passage that discussed music. "The regularity of that pattern was supposed to be noticed by Plato's readers," Kennedy says.
Music in ancient Greece was based on a 12-note scale. Kennedy posits that Plato deliberately inserted discussions of music every 12 lines to send a secret, musical message. What Plato couldn't tell people was that he was a closet Pythagorean. Pythagoras and his followers believed that mathematics and music were the key to the universe.
But the Pythagoreans were a persecuted sect, sometimes violently persecuted. "They were a threat to traditional religion, like many new sects." Plato's own teacher, Socrates, was famously executed for religious heresy.
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