アニキウス・マンリウス・セベリウス・ボエティウス(480ころ-524)とその「音楽論」 (その7) : 数理論の内容を中心として

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In this study, I made researches into the contents of numerical theory in Boethius' work "De institutione musica". He takes individual views in the relation between classification of quantity and the research territory of Quadrivium as four mathematical subjects. In addition to this he takes individual views in the relation among each ratio of "inaequalitatis" and in the classification of "medietas". Especially his following mentions are very important to elucidating the numerical theory in Medieval Europe.(1) Quantity is classified into "multitudo" and "magnitudo". So music is learning which deals with the field of "multitudo".(2) Music deals with problems in relation to "comparatio (ratio)" in the field of "multitudo".(3) Ratio is classified into "aequalitatis" and "inaequalitatis".So music deals with problems in relation to "inaequalitatis".(4) Music deals with problems in relation to ratio of "multiplex" and superparticularis" in "inaequalitatis".(5) Medietas is classified into "arithmetica medietas", "geometrica medietas"and "armonica medietas". So music takes part in "armonica medietas". By the elucidations of these oontents it will be shown that music has occupied a very important position in Quadrivium in Medieval Europe.
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