PTebt. III 694 reconsidered: A Hellenistic treatise on harmonics and its Pythagorean connections

PTebt. III 694, a Hellenistic treatise on harmonics, has received limited scholarly attention compared to other ancient musical texts. This study reinterprets the papyrus, which appears to transmit a text containing a predominantly Pythagorean perspective on musical intervals, particularly influenced by Philolaus. The text describes a diatonic scale spanning an octave, with calculations based on consonances such as the perfect fourth and fifth. However, the methodology employed by the author suggests a degree of integration with Aristoxenian theory, possibly reflecting an effort to reconcile empirical observation with mathematical abstraction in musical theory. The study underscores the text’s role within the broader Hellenistic revival of Pythagorean harmonics.