Pythagorean comma

The Pythagorean comma is a slight difference in pitch that occurs in music when a note is derived using different tuning systems. In Pythagorean tuning, intervals are based on natural fifths. When these fifths are sequenced, they eventually loop back to the starting note, but slightly higher. This audible difference, approximately 0.24 of a semitone, is the Pythagorean comma. It can also be described as the difference between twelve perfect fifths and seven octaves, represented by the ratio 531,441:524,288. This contrasts with the syntonic comma, which arises from differences in thirds in tuning systems.12