Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.004430">
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              rit tibia, ideſt, quod vnicam vocem, & non plures ſimul ederet, quemad­
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              modum refert Zarlinus; quamuis varias voces ſucceſſiuè poſſet edere. </s>
              <s id="s.004431">hoc
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              enim pacto ad ipſum canentes, Diapaſon cum ipſo facilè effeciſſent. </s>
              <s id="s.004432">Notan­
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              dum præterea Ariſt. ſumere in textu Antiphonum pro ſola Diapaſon. </s>
              <s id="s.004433">Quæ­
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              rit igitur, cur canentes ſoliti ſint per ſolam Diapaſon conſonantiam cane­
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              re, quod probat ex vſu Magadis, quod vulgò ad cantum adhibere ſolebant,
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              cùm eo enim omnes in Diapaſon conueniebant. </s>
              <s id="s.004434">Cauſam huius in identita­
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              tem, vt aiunt,
                <expan abbr="vocũ">vocum</expan>
              , ex quibus Diapaſon conſtat, refert. </s>
              <s id="s.004435">quamuis enim non
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              ſint vniſonæ duæ voces octauam conſtituentes, ſunt tamen eiuſdem naturæ,
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              & acutior, vt ſupra dictum eſt, reſpectu grauioris eſt eadem cum graui, in
                <lb/>
              acutiori vocum ordine, quaſi renata. </s>
              <s id="s.004436">ob quam adeò perfectam duorum vo­
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              cum ſimilitudinem fit, vt illarum altera cantata, aut ſonata, altera natura­
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              liter ad illius præſentiam excitetur, & decantetur: vnde huiuſmodi voces
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              mutuam obtinent altera alterius vim. </s>
              <s id="s.004437">Hinc fit, vt paſſim in agris, ac pra­
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              tis ipſi meſſores,
                <expan abbr="atq;">atque</expan>
              paſtores naturalia quadam harum vocum ſimilitudi­
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              ne prouocati, ſolam Diapaſon conſonantiam ſuauiter ſimul canentes, ſuos
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              labores fœliciter fallant.</s>
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            <p type="main">
              <s id="s.004438">
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            <p type="margin">
              <s id="s.004439">
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              374</s>
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            <p type="main">
              <s id="s.004440">Probl. 18.
                <emph type="italics"/>
              (Sed cur Solis Antiphonis vocibus hoc ineſt? </s>
              <s id="s.004441">An quod ſole pari in­
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              teruallo diſtant à Meſe. </s>
              <s id="s.004442">Medietas igitur ſimilitudinem quandam tonorum efficit,
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              vt ſenſus aurium dicat, quod eadem, & quod ambæ extremæ)
                <emph.end type="italics"/>
              Quærit cauſam
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              tantæ ſimilitudinis inter voces Diapaſon conſtituentes, de qua ſimilitudi­
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              ne
                <expan abbr="dictũ">dictum</expan>
              eſt in præcedenti problemate: ait igitur fortè hanc ſimilitudinem
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              inde prouenire, quod
                <expan abbr="vtraq́">vtraque</expan>
              ; illarum
                <expan abbr="duarũ">duarum</expan>
              vocum, quæ Diapaſon efficiunt,
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              æquidiſtat à Meſe, ſeu Media: grauis deorſum, acuta verò ſurſum: quare
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              tot gradus grauitatis grauis obtinebit, quot acuta acuminis, igitur ſimilli­
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              mæ erunt, & propterea auditus iudicat vnam eſſe, quæ quidem ratio iuxta
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              ordinem
                <expan abbr="Terpãdri">Terpandri</expan>
              , & antiquorum illius æui nullam habet
                <expan abbr="difficultatẽ">difficultatem</expan>
              , cùm
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              ſeptem tantum fidibus, quarum media Meſe erat totum
                <expan abbr="Monochordiũ">Monochordium</expan>
              con­
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              ſtituerent. </s>
              <s id="s.004443">At verò in ordine Lychaonis, & poſteriorum, qui octo chordas
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              aſſumebant, aliter re ſe haberet.</s>
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            <p type="main">
              <s id="s.004444">
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            <p type="margin">
              <s id="s.004445">
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              375</s>
            </p>
            <p type="main">
              <s id="s.004446">Probl. 19.
                <emph type="italics"/>
              (Cur non canunt Diapente, & Diateſſaron in Antiphonis? </s>
              <s id="s.004447">An quod
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              non eadem conſonandi ratio ijs ineſt, quæ in Diapaſon: in qua vox grauis eundem
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              habet in grauitate modum, quem acuta in acumine: ita vt, & eadem vox quidem,
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              & ſimul diuerſa oriatur. </s>
              <s id="s.004448">At però in Diapente, & Diateſſaron non ita est, quam­
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              obrem ſonus vocis oppoſitæ non apparet; non enim eſt idem)
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              Cur in quotidia­
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              nis cantilenis, in quibus voces non vniſonæ, ſed diuerſæ, ſeu antiphonæ ad­
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              hibentur, non vtuntur vocibus Diapente, aut Diateſſaron reſonantibus, ſed
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              tantum, vt antea dictum eſt, Diapaſon. </s>
              <s id="s.004449">Ratio, inquit, eſt, quia inter voces
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              illarum non eſt tanta ſimilitudo, quanta in vocibus Diapaſon conſonantiæ,
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              in qua vox grauis tanta eſt in grauitate, quanta acuta in acumine; & proin­
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              de non ita naturaliter, ac facilè ſe produnt, & canuntur, quemadmodum
                <lb/>
              Diapaſon, vbi vox altera alteram ob naturalem ſimilitudinem prouocat.</s>
            </p>
            <p type="main">
              <s id="s.004450">
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            <p type="margin">
              <s id="s.004451">
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              376</s>
            </p>
            <p type="main">
              <s id="s.004452">Probl. 20.
                <emph type="italics"/>
              (Cur ſi quis, mota Meſe, alijs quamuis omnibus chordis benè con­
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              ſonantibus, inſtrumento vtatur, non ſolŭ cum ad Meſes ſonŭ peruenerit, ſed etiam
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              in reliqua melodia, aures anget, modumque
                <expan abbr="incõinnum">incom
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                innum</expan>
              efficient: ſi verò Lycha­
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              nos, aut alia quæpiam mota fuerit, tunc diſcrimen, aut inc
                <expan abbr="õ">on</expan>
              cinnitas ſolum appare-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
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