Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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              paſon, Diapente, Diateſſaron; duas verò compoſitas, Diſdiapaſon, & Dia­
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              paſondiapente.</s>
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              <s id="s.004246">Illud poſtremò loco non ignorandum, aliter has voces Vt, Re, &c. </s>
              <s id="s.004247">vete­
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              res illos Græcos denominaſſe, nam primam, ideſt grauiſſimam vocem, ſiue
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              chordam, quam modò Vt, dicunt, eam ipſi Hypaten vocarunt, & reliquas
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              ordine ſequenti.</s>
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              <s id="s.004248">Vt, Hypate — ideſt Principalis.</s>
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            <p type="main">
              <s id="s.004249">Re, Parhypate —— Poſtprincipalis.</s>
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            <p type="main">
              <s id="s.004250">Mi, Lychanos —— Index.</s>
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              <s id="s.004251">Fa, Meſe ———— Media.</s>
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            <p type="main">
              <s id="s.004252">Sol, Parameſe —— Poſtmedia.</s>
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            <p type="main">
              <s id="s.004253">Re, Trite———— Tertia.</s>
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            <p type="main">
              <s id="s.004254">Mi, Paranete —— Antepenultima.</s>
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              <s id="s.004255">Fa, Nete ———— Vltima, vel ſuprema.</s>
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              <s id="s.004256">His paucis ex magno Muſicæ Campo decerptis problematum declara­
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              tionem ſatis inſtructi aggrediamur.</s>
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              360</s>
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              <s id="s.004259">Problema 3.
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              (Cur maximè in cantando Parhypatem, vox rumpi non minus ſo­
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              leat, quam in Nete, ſupremisqué quamquam cùm interuallo ampliori? </s>
              <s id="s.004260">An quod eius
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              cantus & perdifficilis est, & cantandi primordium obtinet? </s>
              <s id="s.004261">difficilis autem pro­
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              pter intenſionem, & compreſſionem vocis eſt, quibus in rebus eſt labor, & difficul­
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              tas: corrumpi autem quæqué maximè ſolent, quoties labore acrius opprimuntur)
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              Quærit Ariſt. cur qui eam vocem cantant, quæ Parhypate dicitur, non mi­
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              nus defatigetur,
                <expan abbr="vocemq́">vocemque</expan>
              ; perdat, quam qui Neten, aut aliam ex acutiori­
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              bus vocibus, ipſi Nete proximam, vt Paranetem. </s>
              <s id="s.004262">ratio dubitandi eſt, quia
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              Parhypate eſt vox grauis, & quæ paruo interuallo diſtat à grauiſſima om­
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              nium Hypate: at verò Nete,
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              ; illi viciniores ſunt acutiſſimæ,
                <expan abbr="magnisq́">magnisque</expan>
              ;
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              ab Hypate diſtant interuallis. </s>
              <s id="s.004263">Reſpondet, id accidere ob difficultatem, quæ
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              in eius cantu reperitur; quæ difficultas laborem infert, labor autem vocem
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                <expan abbr="corrũpit">corrumpit</expan>
              . </s>
              <s id="s.004264">ſed vnde hæc difficultas? </s>
              <s id="s.004265">reſpondet inde prouenire, quia hæc vox
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              cantandi principium eſt. </s>
              <s id="s.004266">vbi per cantandi principium puto ipſum intellige­
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              re ſemitonium, ſiue dieſim, nam, vt ipſe ait primo
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                <figure id="id.009.01.250.2.jpg" place="text" xlink:href="009/01/250/2.jpg" number="158"/>
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              re ſemitonium, ſiue dieſim, nam, vt ipſe ait primo
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              Poſter. cap. 38. dieſis hęc, ſiue ſemitonium dicitur
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              principium cantus, quia minimum eſt omnium in­
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              teruallorum, quæ voce poſſint exprimi:
                <expan abbr="atq;">atque</expan>
              ex eo
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              alia interualla conſtant,
                <expan abbr="eſtq́">eſtque</expan>
              ; veluti illorum ele­
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              mentum. </s>
              <s id="s.004267">vide illius loci explanationem. </s>
              <s id="s.004268">Iam ve­
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              rò difficile admodum eſſe cantare per ſemitonia,
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              perſpicuum eſt cantoribus, quod oporteat, vt ait
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              Ariſt. vocem, quantum opus eſt, intendere, ſimul
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              ac comprimere, ne ſcilicet in maius iuſto inter­
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              uallum erumpat.</s>
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              <s id="s.004269">Verum dubitabis, cur Ariſt. ponat ſemitonium
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              ab Hypate ad Parhypatem, cùm ſuperius
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              ſit,
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              ſemitonium eſſe tantummodo inter Mi, & Fa, ideſt
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              inter Lychanon, & Meſen. </s>
              <s id="s.004270">Scias igitur alios aliter
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                <expan abbr="interuallorũ">interuallorum</expan>
              ordinem feciſſe: inter quos Lychaon </s>
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