Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.004352">
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              At verò ſola parameſe nequit præter proprium ſonum, etiam ſonum meſes
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              efficere; quia cùm parameſe ſit acutior, quàm meſe, vt patet ex præceden­
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              tibus, erit etiam ipſa minor, ac imbecillior: idcircò ad ſonum meſes effi­
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              ciendum, aut meſe cum parameſe, aut ſaltem ſola meſe neceſſaria eſt. </s>
              <s id="s.004353">quòd
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              autem grauior ſonus ſit acuto maior, hinc patet, quia duæ netæ in hypate
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              continentur; ſi enim ſonus hypates bifariam diuidatur, v. g. ſi flatus ex ali­
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              qua grauiſſima canna exiens ita intercipiatur, vt medius tantum per can­
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              nam effletur, fit ſonus ex hypate nete, ex dimidio nimirum flatu hypates fit
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              nete; idem patet in chordis, quia dimidium alicuius chordæ, vt ſupra pa­
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              tuit, ad totam, eſt nete ad hypatem. </s>
              <s id="s.004354">duæ igitur nete in hypate continentur
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                <emph type="italics"/>
              (Cantilenam ſuſcipit)
                <emph.end type="italics"/>
              ideſt ſoliti erant ad grauiorem vocem canere. </s>
              <s id="s.004355">hic eſt
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              fortè ſenſus Ariſtotelis.</s>
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              <s id="s.004356">
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              <s id="s.004357">
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              369</s>
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            <p type="main">
              <s id="s.004358">Problema 13.
                <emph type="italics"/>
              (Cur in conſonantia Diapaſon graue quidem acuti antiphonum
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              accipi potest; grauis verò acutum non poteſt? </s>
              <s id="s.004359">An maximè, quia in vtroque mo­
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              dus
                <expan abbr="vtriuſq;">vtriuſque</expan>
              contentus est? </s>
              <s id="s.004360">Sed ſi minus, certè in graui acutum eſt, maius enim
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              graue eſt)
                <emph.end type="italics"/>
              Cur inquit, ex duobus ſonis, qui Diapaſon efficiant, grauis qui­
                <lb/>
              dem habet in ſe Antiphonum acuti, ideſt, in ſe continet etiam acutum: at
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              verò acutus non habet antiphonum grauis, ideſt non continet in ſe grauem.
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              </s>
              <s id="s.004361">Ratio eſt, inquit, quia in
                <expan abbr="vtraq;">vtraque</expan>
              continetur ſonus, ſeu modus
                <expan abbr="vtriuſq;">vtriuſque</expan>
              qua­
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              tenus voces huius conſonantiæ ſunt eiuſdem naturæ, vt in 7. Probl. dictum
                <lb/>
              eſt. </s>
              <s id="s.004362">Sed melius eſt Dicere, quia in graui tanquam in magno acutum veluti
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              paruum includitur, vt paulò ante fuſius explicatum eſt.</s>
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              <s id="s.004363">
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            <p type="margin">
              <s id="s.004364">
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              370</s>
            </p>
            <p type="main">
              <s id="s.004365">Problema 14.
                <emph type="italics"/>
              (Cur Antiphonŭm conſonantiæ Diapaſon ita latitat, vt vniſonum
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              eſſe videatur, veluti in Punico, aut homine? </s>
              <s id="s.004366">Quæ
                <expan abbr="namq;">namque</expan>
              poſita in acutis ſunt, non
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              vniſona, ſed ex proportione ſibi Diapaſon concinentia reſpondent? </s>
              <s id="s.004367">An modus pro­
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              portionis facit, vt ſonus quaſi
                <expan abbr="idẽ">idem</expan>
              eſſe appareat? </s>
              <s id="s.004368">Proportio. </s>
              <s id="s.004369">n. </s>
              <s id="s.004370">in ſonis æqualitas eſt;
                <lb/>
              a quale autem omne ad vnitatem
                <expan abbr="referẽdum">referendum</expan>
              eſt. </s>
              <s id="s.004371">hoc idem in fiſtolis etiam euenit, vt
                <lb/>
              falli aures poſſint)
                <emph.end type="italics"/>
              Quænam ſint voces Antiphonæ in 7. Probl. dictum eſt. </s>
              <s id="s.004372">quod
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              ad textum attinet pro verbo, atropo, quod in Gazæ translatione legitur,
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              repoſui, Homine, Græcè enim eſt,
                <foreign lang="grc">ανθρωπῳ,</foreign>
              ex quo fortè mendosè factum
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              eſt illud, atropo. </s>
              <s id="s.004373">quod quid ſibi velit, nuſquam reperitur: Verbum præte­
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              rea Punicum, puto ſignificare inſtrumentum aliquod muſicum Phęnicibus
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              vſitatum, vel ab eis repertum, Græcè enim legitur in
                <foreign lang="grc">φοίνικῳ</foreign>
              . His præmiſ­
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              ſis, quæritur, cur Antiphonum, ideſt vocum corriſpondentia in Diapaſon
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              ita latitat, vt non duæ voces differentes, ſed duæ vniſonæ, fiue vniſonum
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              videatur? </s>
              <s id="s.004374">vt manifeſtè audire eſt in inſtrumento Punico, & in humana voce?
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              </s>
              <s id="s.004375">Dubitationis cauſa eſt, quia voces acutæ nullo modo cum grauioribus ſibi
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              Antiphonis vniſonæ ſunt, ſed per octo voces ab illis in acutum diſtant.</s>
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            <p type="main">
              <s id="s.004376">Reſpondet modum proportionis, ideſt duplam proportionem, quæ inter
                <lb/>
              huiuſmodi voces reperitur in cauſa eſſe, vt voces illæ videantur vniſonæ. </s>
              <s id="s.004377">eſt
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              enim proportio dupla (quæ forma ipſius Diapaſon eſt) ſimpliciſsima, & pri­
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              ma inter omnes muſicales proportiones. </s>
              <s id="s.004378">dupla enim proportio eſt omnium
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              prima, ac ſimpliciſſima, reliquæ enim, vt ſunt tripla, ſelquialtera, ſeſqui­
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              tertia, & huiuſmodi aliæ, ſunt ipſa compoſitiores. </s>
              <s id="s.004379">In dupla enim propor­
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              tione altera quantitas diuiditur tantum bifariam, vt ſuperius patuit: diuiſio
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              porrò bifariam, ſiue in partes æquales eſt prima
                <expan abbr="omniũ">omnium</expan>
              , quia magis ad </s>
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