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Nevertheless, both schools have in common a set of 4 octaves (protos, devteros, tritos, and tetartos), each of them had a kyrios echos (authentic mode) with the finalis on the degree V of the mode, and a plagios echos (plagal mode) with the final note on the degree I.The resulting eight modes (octoechos) had been identified with the seven tropes (tropoi) of the Ancient Greek harmonikai, the Pythagorean mathematic discipline of music theory as it had been formulated by the harmonikoi during the Hellenic period.
But they made no use of earlier Pythagorean concepts that had been fundamental for Byzantine music, including: It is not evident by the sources, when exactly the position of the minor or half tone moved between the devteros and tritos.
There is also an identification of "Byzantine music" with "Eastern Christian liturgical chant", which is due to certain monastic reforms, such as the Octoechos reform of the Quinisext Council (692) and the later reforms of the Stoudios Monastery under its abbots Sabas and Theodore.
The triodion created during the reform of Theodore was also soon translated into Slavonic, which required also the adaption of melodic models to the prosody of the language.
), in a narrow sense, is the music of the Byzantine Empire.
Originally it consisted of songs and hymns composed to Greek texts used for courtly ceremonials, during festivals, or as paraliturgical and liturgical music.