The contribution analyzes how Boethius elaborates the concepts of "vis" or "facultas armonicae" (power of the harmonics) and "vis armonica" (harmonic power), both derived from Ptolemy’s "dynamis harmonike," namely, the power to grasp the distinctions between high and low sounds and produce an immediate judgment of pleasure or distrust. The essay aims to demonstrate that this concept provides the theoretical equipment for the study of the Boethian second genus of music, the "musica humana," and consequently that Boethius’ famous threefold division of music ("instrumentalis," "humana" and "mundana") implies a special methodological approach for each area. In particular, with the unfinished book 5 of the "De institutione musica," Boethius turns to the practical usefulness of music, and shifts from a pure mathematical science, the "instrumentalis," to an intermediate one, the "humana," which involves also ethics and physics. For Boethius, this second kind of music concerns human wellness and good government, and its knowledge is particularly recommended to rulers and those who have political responsibilities.
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