Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of Notes

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            <s xml:id="echoid-s10489" xml:space="preserve">
              <pb o="749" file="0493" n="515" rhead="NOVUS CYCLUS HARMONICUS."/>
            tiam ejus diviſionis ex Geometriæ principiis demonſtrave-
              <lb/>
            rim, & </s>
            <s xml:id="echoid-s10490" xml:space="preserve">illam vindicaverim adverſus injuſtum duorum illo-
              <lb/>
            rum celebrium Scriptorum pronunciatum.</s>
            <s xml:id="echoid-s10491" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10492" xml:space="preserve">In lib. </s>
            <s xml:id="echoid-s10493" xml:space="preserve">3. </s>
            <s xml:id="echoid-s10494" xml:space="preserve">Muſices Salinæ integrum exſtat caput de hac di-
              <lb/>
            viſione, cujus inſcriptio eſt, De prava conſtitutione cujuſ-
              <lb/>
            dam inſtrumenti, quod in Italia citra quadraginta annos fa-
              <lb/>
            bricari cæptum eſt, in quo reperitur omnis tonus in partes
              <lb/>
            quinque diviſus; </s>
            <s xml:id="echoid-s10495" xml:space="preserve">Dicit inſtrumentum hoc nominis Archi-
              <lb/>
            cymbali donatum fuiſſe, illudque fuiſſe incerti autoris; </s>
            <s xml:id="echoid-s10496" xml:space="preserve">Mu-
              <lb/>
            ſicos quoſdam admodum idoneos id magni feciſſe, præci-
              <lb/>
            pue quia continebat omnia intervalla, omnesque conſonan-
              <lb/>
            tias (ut credebant, ait) adſcendendo, & </s>
            <s xml:id="echoid-s10497" xml:space="preserve">deſcendendo & </s>
            <s xml:id="echoid-s10498" xml:space="preserve">quia
              <lb/>
            poſt certam periodum rediebatur ad eundem ſonum vel æqui-
              <lb/>
            pollentem, cum eo a quo initium factum erat; </s>
            <s xml:id="echoid-s10499" xml:space="preserve">Quia Octava di-
              <lb/>
            viſa erat in 31 partes æquales, quas vocabant Dieſas (ſeu tonos
              <lb/>
            perfectos) quarum tonus debebat continere 5; </s>
            <s xml:id="echoid-s10500" xml:space="preserve">magnus ſe-
              <lb/>
            mitonus 3; </s>
            <s xml:id="echoid-s10501" xml:space="preserve">parvus 2; </s>
            <s xml:id="echoid-s10502" xml:space="preserve">Tertia major 10; </s>
            <s xml:id="echoid-s10503" xml:space="preserve">Tertia minor 8; </s>
            <s xml:id="echoid-s10504" xml:space="preserve">Quar-
              <lb/>
            ta 13; </s>
            <s xml:id="echoid-s10505" xml:space="preserve">Quinta 18; </s>
            <s xml:id="echoid-s10506" xml:space="preserve">Sexta minor 21; </s>
            <s xml:id="echoid-s10507" xml:space="preserve">Sexta major 23. </s>
            <s xml:id="echoid-s10508" xml:space="preserve">Sed ad-
              <lb/>
            dit, cum tentaſſent tale diſponere inſtrumentum hoc ſonum
              <lb/>
            dediſſe admodum ingratum, & </s>
            <s xml:id="echoid-s10509" xml:space="preserve">qui inſigniter aures præſen-
              <lb/>
            tium offendebat, unde concludit, talem diviſionem deviare ab
              <lb/>
            omni ratione harmonica, ſive examinetur ſecundum menſu-
              <lb/>
            ram juſtarum conſonantiarum ſive Temperamenti. </s>
            <s xml:id="echoid-s10510" xml:space="preserve">Præter
              <lb/>
            experientiam & </s>
            <s xml:id="echoid-s10511" xml:space="preserve">aliud affert argumentum deductum ex Me-
              <lb/>
            thodo in hac diviſione adhibita. </s>
            <s xml:id="echoid-s10512" xml:space="preserve">P. </s>
            <s xml:id="echoid-s10513" xml:space="preserve">Merſennus etiam con-
              <lb/>
            tendit ſe bene illam refutaviſſe. </s>
            <s xml:id="echoid-s10514" xml:space="preserve">Erravit uterque, quia illos
              <lb/>
            latebat Methodus dividendi Octavam in 31 partes æquales,
              <lb/>
            quod probabiliter & </s>
            <s xml:id="echoid-s10515" xml:space="preserve">ipſi inventores non potuere; </s>
            <s xml:id="echoid-s10516" xml:space="preserve">requiritur
              <lb/>
            enim cognitio Logarithmorum, qui nondum illorum nequi-
              <lb/>
            dem Salinæ tempore erant inventi. </s>
            <s xml:id="echoid-s10517" xml:space="preserve">Tandem novum hoc
              <lb/>
            Temperamentum, quod adeo repudiant, omnium præſtantiſ-
              <lb/>
            ſimum merito dicitur, omnia habens commoda quæ ipſi tri-
              <lb/>
            buebantur; </s>
            <s xml:id="echoid-s10518" xml:space="preserve">præcipuæ ſimplicitatem quam communicat Theo-
              <lb/>
            riæ tonorum, & </s>
            <s xml:id="echoid-s10519" xml:space="preserve">parum admodum differt ab eo, quo utun-
              <lb/>
            tur omnes, ut auris differentiam non percipiat uti computa-
              <lb/>
            tione probabo.</s>
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