Echos is the name in Byzantine music theory for a mode within the eight-mode system (oktoechos), each of them ruling several melody types, and it is used in the melodic and rhythmic composition of Byzantine chant, differentiated according to the chant genre and according to the performance style. It is akin to a Western medieval tonus, an Andalusian tab', an Arab naġam, or a Persian parde.
Intonation according to Erotapokriseis and standard intonation of echos protos: "You descend 4 steps [φοναὶ] from the echos protos [kyrios protos/authentic protus] and you will find again the plagios protos, this way"
Intonation according to Erotapokriseis and standard intonation of echos devteros: "You do the same way in echos devteros. If you descend 4 steps to find its plagios, i.e. πλ β', thus"
"Parallage of John Koukouzeles": The four peripheral wheels for the Octoechos (top left: protos echoi; top right: devteros echoi; bottom left: tritos echoi; bottom right: tetartos echoi) and the tetraphonic tone system and its transpositions in the center—Koukouzelian wheel in an 18th-century manuscript (manuscript of the private collection by Demetrios Kontogiorges)
Intonations (ἐνηχήματα) for the echoi plagios devteros, varys, and plagios tetartos listed in a 17th-century papadike treatise—the intonations are followed by chant incipits (London, British Library, Harley 5544, fol. 8r)
Phthora nana is one of the ten modes of the Hagiopolitan Octoechos consisting of 8 diatonic echoi and two additional phthorai. It is used in different traditions of Orthodox chant until today. The name "nana" is taken from the syllables sung during the intonation which precedes a melody composed in this mode. The name "phthora" derived from the verb φθείρω and means "destroy" or "corrupt". It was usually referred to the diatonic genus of the eight mode system and as a sign used in Byzantine chant notation it indicated a "change to another genus", in the particular case of phthora nana a change to the enharmonic genus. Today the "nana" intonation has become the standard name of the third authentic mode which is called "echos tritos" in Greek and "third glas" in Old Church Slavonic.
Φθορά νανὰ as echos tritos in a 17th-century kekragarion (GB-Lbl Ms. Harley 5544, f. 35v)
"ἡ σοφωτάτη παραλλαγὴ κυρίου Ἰωάννου Ἰερέως τοῦ Πλουσιαδηνοῦ" in an 18th-century manuscript (Athos, Docheiariou monastery, Ms. 319, fol. 18v)
List of 7 phthorai used for transposition in a 17th-century Papadike (GB-Lbl Ms. Harley 5544, f. 5v).
Phthora atzem as a melos of echos tritos (Keltzanides 1881, 81)