‹‹‹ Vitr. 5.4.6 | Table of Contents | Vitr. 5.4.8 ›››
7There are five tetrachords. The Greeks call the lowest ὕπατον (hypaton); the second, which is in the middle, μέσον (meson). The third, which is joined to the two preceding, is called συνημμένον (synèmmenon). The fourth, which is disjoined, called διεζευγμένον (diezeugmenon). The fifth, which is the highest, the Greeks call ὑπερβόλαιον(hyperbolæon). The natural consonances, which the Greeks call συμφωνίαι (symphoniæ), are six in number; diatessarôn (fourth), diapente (fifth), diapasôn (octave), diapasôn with diatessarôn(eleventh), diapasôn with diapente (twelfth), and disdiapasôn (fifteenth).
7There are five tetrachords: first, the lowest, termed in Greek ὑπατον; second, the middle, called μἑσον; third, the conjunct, termed συνημμἑνον; fourth, the disjunct, named διεξενγμἑνον; the fifth, which is the highest, is termed in Greek ὑπερβὁλαιον. The concords, termed in Greek συμφωνἱαι, of which human modulation will naturally admit, are six in number: the fourth, the fifth, the octave, the octave and fourth, the octave and fifth, and the double octave.