Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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            <p type="main">
              <s id="s.004219">
                <pb pagenum="248" xlink:href="009/01/248.jpg"/>
              prima, Vt, & vltima, Fa, quæ octaua eſt, conſonantiam diapaſon, aut du­
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              plam, aut octauam reddunt.</s>
            </p>
            <p type="main">
              <s id="s.004220">Rurſus eadem chorda C D, diuidatur in tres partes æquales in punctis
                <lb/>
                <figure id="id.009.01.248.1.jpg" place="text" xlink:href="009/01/248/1.jpg" number="155"/>
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              F, G. </s>
              <s id="s.004221">F D igitur erit duæ ter­
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              tiæ tam totius C D, quàm to­
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              tius A B. ponatur iam tactus
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              in F,
                <expan abbr="percutiãturq́">percutianturque</expan>
              ; ſimul A B,
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              & F D; audietur conſonantia
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              ſuauis admodum, & perfecta
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              quidem, ſed
                <expan abbr="nõ">non</expan>
              tamen, vt Dia­
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              paſon. </s>
              <s id="s.004222">hanc priſci Diapente dixerunt, ideſt per
                <expan abbr="quinq;">quinque</expan>
              ſubaudi chordas, eò
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              quod prima, & quinta chorda, hanc conſonarent. </s>
              <s id="s.004223">ſecundum proportionem
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              verò dicitur ſeſquialtera, quoniam chorda A B, ad chordam F D, eſt ſeſqui­
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              altera, & conſequenter etiam earum ſoni erunt in eadem ratione. </s>
              <s id="s.004224">ſeſquial­
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              tera autem proportio eſt, quando maior quantitas A B, continet minorem
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              F D, ſemel,& adhuc dimidium ipſius. </s>
              <s id="s.004225">vulgò quinta, quia ex prima voce, Vt,
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              & quinta, Sol, conſtat.</s>
            </p>
            <p type="main">
              <s id="s.004226">Eadem iterum chorda in quatuor æquas partes ſecetur in punctis H, E, I,
                <lb/>
                <figure id="id.009.01.248.2.jpg" place="text" xlink:href="009/01/248/2.jpg" number="156"/>
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              ita vt chorda H D, ſit tres quartæ
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              totius A D. facto deinde tactu in
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              H, pulſentur ſimul A B, H D, & au­
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              dietur conſonantia quidem, ſed
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              duabus præcedentibus imperfe­
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              ctior. </s>
              <s id="s.004227">hæc antiquitus Diateſſaron,
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              ideſt per quatuor, ſubaudi chor­
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              das, aut voces, ſimili ratione, qua ſuperiores dicta fuit. </s>
              <s id="s.004228">reſpectu autem pro­
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              portionis chordarum, ac ſonorum dicitur ſeſquitertia, quia maior A B, mi­
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              norem H D, ſemel, & adhuc tertiam ipſius partem continet. </s>
              <s id="s.004229">vulgò nunc di­
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              citur, quarta, quid inter primam vocem, Vt, & quartam, Fa, reperiatur.
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              </s>
              <s id="s.004230">Iam verò ſi in eadem chorda C D, ponantur puncta H, & F, vt in præcedenti
                <lb/>
              figura, & ſimul duæ chordæ H D, & F D, hoc eſt tres quartæ, & duæ tertiæ,
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              arithmeticis rationibus comparentur, reperiemus maiorem H D, ad mi­
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              norem F D, proportionem habere ſeſquioctauam, & ſonum maioris H D,
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              ad minorem F D, eandem habebit rationem, hoc eſt, vt nouis vocabulis
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              vtamur inter Fa, & Sol, eſſe ſeſquioctauam proportionem; ſi autem ſimul
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              hi duo ſoni exaudiantur diſſonantiam auribus facient. </s>
              <s id="s.004231">diſtantiam porrò
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              hanc inter voces Fa, Sol, ſiue inter chordas H D, F D, ſiue inter duo inter­
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              ualla H D, F D, harmonici, quorum ratio eſſet ſeſquioctaua Tonum appel­
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              larunt. </s>
              <s id="s.004232">Diuiſerunt poſtea totam C D, in nouem partem æquales, quarum
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              prima ſit in puncto K, diuiſa, ita vt tota C D, ad reliquam K D, quæ conti­
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              net octo partes ex illis, habeat rationem ſeſquioctauam, hoc pariter inter­
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              uallum Toni erit, cuius primum ſonum, ideſt totius C D, nunc dicunt, Vt,
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              ſecundum verò ſonum reliquæ chordæ K D, dicunt, Re Reliquam poſtea
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              K D, ſimiliter in nouem partes diuiſerunt, cuius prima pars ſit in puncto L,
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              notata. </s>
              <s id="s.004233">& eadem ratione inter chordam K D, & chordam L D,
                <expan abbr="earumq́">earumque</expan>
              ; ſo­
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              nos erit ſeſquioctaua proportio. </s>
              <s id="s.004234">ſonum chordæ L D, nunc appellant, </s>
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