Pythagorean Tuning

Ancient tuning system deriving every pitch from stacked 3:2 perfect fifths, attributed to Pythagoras.

Core Principles & Analysis

• Twelve stacked 3:2 fifths overshoot seven octaves by about 23.5 cents, the Pythagorean comma.
• Its 81:64 major thirds are noticeably sharper than the pure 5:4 ratio.
• It dominated medieval European music, where octaves and fifths were the primary consonances.

Specifications & Metrics

• RATIO: 3:2 stacked fifths