Plutarch, the celebrated writer of the comparative biographies (50-120 A. D.), wrote an 'Introduction to Music,' full of valuable information on the art.
Claudius Ptolemy, the great Græco-Egyptian geographer, mathematician and astronomer (second century A. D.). His 'Harmonics'—in three books—is an exhaustive theory of the ancient scale system.
Alypius (ca. 360 A. D.). His 'Introduction to Music' is valuable for the copious tables of notation (Alypian tables).
Boethius (475-524 A. D.), the chancellor of Theodoric the Great. He was the chief exponent of Greek musical theory to the Middle Ages. His five books on music ('De Musica') are chiefly based on other works of the Roman period, notably on Ptolemy.
B—Early Modern Writers on Greek Music
Vincenzo Galileo: Dialogo di Vincenzo Galileo ... della musica antica, et della moderna (Florence, 1581).
M. Meibomius (Meibom): Antiquæ musicæ auctores septem (Amsterdam, 1652).
C—Modern Authorities
August Böckh: De metris Pindari (Ed. of Pindar), 1811, 1819, 1821.
August Böckh: Die Entwicklung der Lehren des Philalaos (Berlin, 1819).