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t. I (PL 63)

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CAPUT PRIMUM.<br />

Adversus Aristoxenum demonstratio superparticularem<br />

proportionem dividi in xqua non posse, atque ideo<br />

nec tonum.<br />

Superiore volumine demonstratum est diatessaron<br />

consonantiam ex duobiis tonis * copulari ac semito-<br />

nio, diapentes vero ex tribus toQis ac semitonio con-<br />

stare. Sed ea semitonia dimidium toni integrum<br />

non posse perFicere, si sigillatim considerata tractentur,<br />

atque ideo diapason ad sex tonos nullo modo<br />

pervenire. Sed quoniam Aristoxenus musicus, judicio<br />

auriura cuncta permittens, hsec semitonia non arbi-<br />

tratur esse secundam Pythagoricos contractiora di-<br />

midio, sed sicut semitonia dicuntur, ita esse dimidie-<br />

tates tonorum, de b eisdem rursus paulisper est<br />

disputandum. demonstrandumque prius nullam su-<br />

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