Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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            <div xml:id="echoid-div544" type="section" level="3" n="13">
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                <p>
                  <s xml:id="echoid-s3483" xml:space="preserve">
                    <pb o="288" rhead="IO. BAPT. BENED." n="294" file="0294" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0294"/>
                  eſt
                    <var>.b.</var>
                  ſecundum ipſius bfabmi, f. ſecundum, et
                    <var>.c.</var>
                  tertium, ſed ſi dictum tertium
                    <var>.c.</var>
                    <lb/>
                  valde diſſonans eſſet cum
                    <var>.b.</var>
                  ſecundo ipſius elami, </s>
                  <s xml:id="echoid-s3484" xml:space="preserve">tunc ipſum
                    <var>.c.</var>
                  intendo, aut re-
                    <lb/>
                  mitto, quouſque aliquo modo ſit conſonans per ſextam maiorem aliquantulum ex
                    <lb/>
                  ceſſiuam cum
                    <var>.b.</var>
                  ſecundo ipſius elami, cum quo poſtea
                    <var>.c.</var>
                  conſonare aliquantulum fa
                    <lb/>
                  cio
                    <var>.f.</var>
                  ſecundum per quintam defectiuam, & cum hoc
                    <unsure/>
                  demum
                    <var>.b.</var>
                  ſecundum ipſius
                    <lb/>
                  bfabmi, quo facto concordo ſecundum
                    <var>.c.</var>
                  cum tertio per octauam, cum quo ſecun-
                    <lb/>
                  do
                    <var>.c.</var>
                  poſtea concordo tertium
                    <var>.g.</var>
                  per talem quintam, quod ipſum tertium
                    <var>.g.</var>
                  cum ſe-
                    <lb/>
                  cundo
                    <var>.b.</var>
                  ipſius bfabmi conſonet tolerabiliter per ſextam maiorem
                    <reg norm="aliquantulum" type="context">aliquãtulum</reg>
                  ex-
                    <lb/>
                  ceſſiuam, </s>
                  <s xml:id="echoid-s3485" xml:space="preserve">deinde cum iſto tertio
                    <var>.g.</var>
                  concordo tertium
                    <var>.d.</var>
                  per talem quintam, ita quod
                    <lb/>
                  ipſum
                    <var>.3.d.</var>
                  concordet tolerabiliter cum
                    <var>.2.f.</var>
                  per ſextam maiorem exceſſiuam, poſtea
                    <lb/>
                  cum hoc
                    <var>.3.d.</var>
                  concordo
                    <var>.2.d.</var>
                  per octauam perfecte, cum quo
                    <var>.2.d.</var>
                  poſtea concordo
                    <var>.
                      <lb/>
                    3.a.</var>
                  per quintam, vt in alijs
                    <reg norm="factum" type="context">factũ</reg>
                  eſt, ita vt
                    <reg norm="cum" type="context">cũ</reg>
                    <var>.2.c.</var>
                  conſonet talis ſexta maior, vt ſupra
                    <lb/>
                  dictum eſt, cum quo
                    <var>.3.a.</var>
                  poſtea concordo
                    <var>.3.e.</var>
                  per quintam, vt dictum eſt, ita quod
                    <lb/>
                  cum
                    <var>.3.g.</var>
                  faciat ſextam maiorem vt ſupra, poſtea cum hoc
                    <var>.e.</var>
                  concordo
                    <var>.2.e.</var>
                  per octa
                    <lb/>
                  uam, cum quo concordo
                    <var>.b.</var>
                  quadrum tertium per quintam, vt dictum eſt, ita quod
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                    <var>2.d.</var>
                  faciat ſextam maiorem ſimilem alijs ſuperius dictis, cum quo
                    <var>.b.</var>
                  quadrato tertio
                    <lb/>
                  concordo tertium nigrum ipſius
                    <var>.f.</var>
                  per quintam, ita quod cum
                    <var>.3 a.</var>
                  faciat ſextam ma-
                    <lb/>
                  iorem, vt ſupra, deinde cum hoc concordo
                    <var>.2.f.</var>
                  nigrum per octauam, cum quo, per
                    <lb/>
                  quintam concordo
                    <var>3.c.</var>
                  nigrum ita quod cum
                    <var>.2.e.</var>
                  faciat ſextam dictam, demum
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  hoc concordo
                    <var>.4.g.</var>
                  nigrum per quintam, ita quod faciat cum
                    <var>.3.b.</var>
                  quadrato ſextam
                    <lb/>
                  dictam, & ſic ad vltimam quintam peruenio, ſupra quod
                    <var>.g.</var>
                  nigrum nulla quinta am-
                    <lb/>
                  plius reperitur, poſtea cum iſtis chordis concordo per octauas omnes alias ab acutis
                    <lb/>
                  ad graues.</s>
                </p>
                <xhtml:table>
                  <xhtml:tr>
                    <xhtml:td xml:space="preserve">G A B b C * D b E F * g * a b b c * d b e f * g * a b b c * d b e f * g *</xhtml:td>
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                  <xhtml:tr>
                    <xhtml:td xml:space="preserve">1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4.</xhtml:td>
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                <p>
                  <s xml:id="echoid-s3486" xml:space="preserve">Valde etiam admiratione dignum eſt, quod perſectiores quæque conſonan
                    <lb/>
                  tiæ, ita in harmonica diuiſione ſibi inuicem conueniant, vt dia paſon cum diapente,
                    <lb/>
                  cum diapaſondiapente, cum ditono, cum hexachordo maiori cum bisdiapaſon,
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  decimaleptima maiori. </s>
                  <s xml:id="echoid-s3487" xml:space="preserve">Nam in ipſa diapaſon, harmonicè
                    <reg norm="locantur" type="context">locãtur</reg>
                  diapente in par
                    <lb/>
                  te grauiori, & diateſlaron in acutiori. </s>
                  <s xml:id="echoid-s3488" xml:space="preserve">In diapente verò harmonicè locantur ditonus
                    <lb/>
                  in parte grauiori, & ſemiditonus in acutiori. </s>
                  <s xml:id="echoid-s3489" xml:space="preserve">In ditono harmonicè locantur tonus
                    <lb/>
                  maior in parte grauiori, & tonus minor in acutiori. </s>
                  <s xml:id="echoid-s3490" xml:space="preserve">In hexachordo maiori, harmo-
                    <lb/>
                  nicè locantur diateſſaron in parte grauiori, & ditonus in acutiori. </s>
                  <s xml:id="echoid-s3491" xml:space="preserve">In diapaſondia-
                    <lb/>
                  pente, harmonic
                    <unsure/>
                  è locantur diapaſon in parte grauiori, & diapente in acutiori.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3492" xml:space="preserve">In bisdiapaſon, ha@monicè locantur decima maior in parte grauiori & hexachor-
                    <lb/>
                  dum minus in acutiori. </s>
                  <s xml:id="echoid-s3493" xml:space="preserve">In decimaſeptima maiori, harmonicè locantur diapaſondia-
                    <lb/>
                  pente in parte grauiori, & hexachordum maius in parte acutiori. </s>
                  <s xml:id="echoid-s3494" xml:space="preserve">Ita quod ronus
                    <lb/>
                  ſeſquioctauus in ditono, proportionalis eſt ipſi ditono in diapente. </s>
                  <s xml:id="echoid-s3495" xml:space="preserve">Tonus verò ſeſ-
                    <lb/>
                  quinonus in ipſo ditono, proportionalis eſt triemitonio, vel ſeſquitonio ſeu ſemidi-
                    <lb/>
                  tono (quod idem eſt) in diapente. </s>
                  <s xml:id="echoid-s3496" xml:space="preserve">Ditonus autem in diapente, proportionalis eſt
                    <lb/>
                  ipſi diapente in diapaſon. </s>
                  <s xml:id="echoid-s3497" xml:space="preserve">Seſquitonus verò in diapente, proportionalis eſt diateſ-
                    <lb/>
                  ſaron in diapaſon. </s>
                  <s xml:id="echoid-s3498" xml:space="preserve">Et ſic de ſingulis. </s>
                  <s xml:id="echoid-s3499" xml:space="preserve">Ita quod tonus ſeſquioctauus in ditono, dito-
                    <lb/>
                  mus in diapente, diateſſaron in hexachordo maiori, diapente in diapaſon, diapaſon
                    <lb/>
                  in diapaſondiapente, decimamaior in bisdiapaſon, diapaſondiapente in decima- </s>
                </p>
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