“What of invisible beauty? There are patterns in the air. Sound waves that can make our spirits rise.”
That quote is from a short video clip on videos.howstuffworks.com. One segment describes how Pythagoras discovered the mathematics of music after passing by a blacksmith’s shop: hammers of different weights would create different sounds when dropped, the differences of each corresponding to a mathematical ratio.
One of the people interviewed in this clip, Frederick Turner, uttered a curious sentence:
“…and so there’s this wonderful threefold connection between a human mind…, the mathematics themselves, and the physical world.”
Perhaps it’s true, as ancient Roman poet Virgil once wrote, that “the gods delight in odd numbers.”