Cropped image of Pythagoras from Raphael's School of Athens

In this detail from the Stanza della Segnatura, the Greek philosopher Pythagoras is shown seated on a marble block, recording his mathematical discoveries in a codex. A young assistant holds a wooden tablet before him, displaying a diagram of harmonic intervals and the ten-pointed tetractys symbol. Various figures lean in to observe his work, including the philosopher Averroes, identifiable by his white turban and green robe.

This scene represents the Renaissance synthesis of mathematical harmony and cosmic order, foundational to Neopythagorean and Neoplatonic thought. The diagram on the slate illustrates the musical ratios of the octave, fifth, and fourth, which were believed to govern the structure of both the soul and the universe.