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Cassiodorus, Institutiones, 2, 5, 32
XII. Hyperiastius, est hyperdorium hemitonio, lydium tono, aeolium tono semis, phrygium duobus tonis, iastium duobus semis tonis, hoc est diatessaron symphonia; dorium tribus tonis, hypolydium tribus semis tonis, hoc est diapente symphonia; hypoaeolium quatuor tonis, hypophrygium quatuor semis, hypoiastium quinque tonis, hypodorium quinque semis.