Echos is the name in Byzantine music theory for a mode within the eight-mode system, each of them ruling several melody types, and it is used in the melodic and rhythmic composition of Byzantine chant
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)
In music theory, the term mode or modus is used in a number of distinct senses, depending on context.
Echos
…melos"), differentiated according to the chant genre and according to the performance style ("method of the thesis"). It is akin to a Western medieval tonus, an Andalusian tab', an Arab naġam (since 1400 "maqam"), or a Persian parde (since 18th-century dastgah). The noun echos in Greek means "sound" in…
Excerpt from Boethius' De musica depicting a scale
Modes Illustrated Using Movable Do Solfege (USA)