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]

Table of figures

< >
[Figure 271]
Page: 223
[Figure 272]
Page: 223
[Figure 273]
Page: 223
[Figure 274]
Page: 223
[Figure 275]
Page: 225
[Figure 276]
Page: 225
[Figure 277]
Page: 225
[Figure 278]
Page: 225
[Figure 279]
Page: 225
[Figure 280]
Page: 227
[Figure 281]
Page: 228
[Figure 282]
Page: 229
[Figure 283]
Page: 231
[284] Pro Lunæ ortu. Ad lati .45.
Page: 235
[Figure 285]
Page: 235
[286] Pro Lunæ occaſu. Ad lati .45.
Page: 236
[Figure 287]
Page: 236
[Figure 288]
Page: 237
[Figure 289]
Page: 238
[Figure 290]
Page: 249
[Figure 291]
Page: 250
[Figure 292]
Page: 257
[Figure 293]
Page: 258
[Figure 294]
Page: 259
[Figure 295]
Page: 262
[Figure 296]
Page: 262
[Figure 297]
Page: 263
[Figure 298]
Page: 265
[Figure 299]
Page: 266
[Figure 300]
Page: 272
< >
page |< < (281) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div544" type="section" level="3" n="13">
              <div xml:id="echoid-div544" type="letter" level="4" n="1">
                <p>
                  <s xml:id="echoid-s3476" xml:space="preserve">
                    <pb o="281" rhead="EPISTOL AE." n="293" file="0293" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0293"/>
                  appellaretur tertia decima maior, vt exempli gratia, eſſet Gamaut cum ſecundo ela
                    <lb/>
                  mi, </s>
                  <s xml:id="echoid-s3477" xml:space="preserve">tunc talis tertiadecima valde odioſa eſſet ſenſui auditus, à qua, ſi dempta ſuerit
                    <lb/>
                  diapaſon, ſeu octaua, remaneret quoddam hexachordum maius, ſeu ſexta maior, au-
                    <lb/>
                  ribus valde inimica, ſub proportione .13. ad 8. ſed hæc proportio differret à propor
                    <lb/>
                  tione ſuperbipartientetertias perfecti hexachordi maioris, hoc eſt ſextæ maioris
                    <lb/>
                  conſonantis, per proportionem ſeſquioctuageſimam, hoc eſt per vnum comma,
                    <lb/>
                  quod quidem eſt etiam differentia aggregati trium ſeſquialterarum, à tertiadeci-
                    <lb/>
                  ma maiori conſonanti, hoc eſt exceſſus proportionis triplæ ſupertripartientis octa-
                    <lb/>
                  uas, ſupra triplam ſeſquitertiam, quæ eſt ſumma ipſius duplæ cum ſuperbi partien-
                    <lb/>
                  tetertias.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3478" xml:space="preserve">A tali ſumma igitur trium ſeſquialterarum efficitur tertiadecima maior diſſonans
                    <lb/>
                  excedens conſonantem per vnum comma (cuius proportio eſt .81. ad .80.) quæ con-
                    <lb/>
                  fonans continetur in proportione .10. ad .3. vt ſupra dixi.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3479" xml:space="preserve">Hæcigitur eſt vera ratio, propter quam debemus comma diſtribuere in organis
                    <lb/>
                  & clauicymbalis, cum ab aggregato trium quintarum producatur talis exceſſus ſu-
                    <lb/>
                  pra perfectam, ſeu conſonantem tertiamdecimam maiorem, quod quidem aggre-
                    <lb/>
                  gatum, cum demptum fuerit à quintadecima, relinquet nobis tertiam minorem
                    <lb/>
                  diſſonantem, & mancam, per eundem exceſſum à conſonanti. </s>
                  <s xml:id="echoid-s3480" xml:space="preserve">quæ quidem tertia
                    <lb/>
                  minor diſſonans ſubtracta à diapente ſeu quinta perfecta, relinquet nobis tertiam
                    <lb/>
                  maiorem diſſonantem, qu@ conſonantem excedit per eundem exceſſum comma-
                    <lb/>
                  tis, & hæc demum tertia maior diſſonans, dempta ex diapaſon, ſeu octaua, relin-
                    <lb/>
                  quet nobis hexachordum minus, hoc eſt ſextam minorem diſſonantem, & muti-
                    <lb/>
                  lam à conſonanti per eundem exceſſum commatis. </s>
                  <s xml:id="echoid-s3481" xml:space="preserve">De huiuſmodi verò commatis
                    <lb/>
                  diſtributione doctiſſimè ſcripſit Excellentiſſimus Zarlinus in ſecunda parte Inſtitu-
                    <lb/>
                  tionum Harmonicarum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3482" xml:space="preserve">Sed quia ſenſus auditus non poteſt exactè cognoſcere debitam quantitatem ex-
                    <lb/>
                  ceſſus, vel defectus, intendendo vel remittendo chordas inſtrumentorum, ideo hanc
                    <lb/>
                  viam ſequutus ſum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3483" xml:space="preserve">Sit exempli gratia, hic ſubſcriptus ordo lignorum tangentium ſeu pinarum inci-
                    <lb/>
                  piens ab
                    <var>.G.</var>
                  deſinens ad
                    <var>.g.</var>
                  ita quod inter ipſos terminos ſit ea conſonantia quæ vo-
                    <lb/>
                  catur vigeſimaſecunda, quæro primum
                    <var>.b.</var>
                  inter
                    <var>.D.E.</var>
                  quod eſt nigrum ipſius Ela-
                    <lb/>
                  mi grauiſſimum, quod groſſo modo facio conſonans cum
                    <var>.G.</var>
                  grauiſſimo per ſex-
                    <lb/>
                  tam
                    <reg norm="minorem" type="context">minorẽ</reg>
                  , deinde
                    <reg norm="cum" type="context">cũ</reg>
                  ipſo pt
                    <unsure/>
                  imo
                    <var>.b.</var>
                  ipſius elami concordo ſuum octauum & quin-
                    <lb/>
                  tumdecimum, quo perfectius poſſum, deinde accipio
                    <var>.b.</var>
                  molle ſecundum ipſius. b
                    <lb/>
                  fabmi quod concordo cum
                    <var>.b.</var>
                  primo ipſius Elami per quintam imperfectam, dein-
                    <lb/>
                  de cum hoc
                    <var>.b.</var>
                  ſecundo ipſius bſabmi concordo ſecundum
                    <var>.f.</var>
                  per quintam ſimiliter
                    <lb/>
                  imperfectam, cum quo
                    <var>.f.</var>
                  poſtea concordo tertium
                    <var>.c.</var>
                  per ſimilem quintam, quem
                    <lb/>
                  tertium
                    <var>.c.</var>
                  poſtea confero
                    <reg norm="cum" type="context">cũ</reg>
                  ſecundo
                    <var>.b.</var>
                  ipſius elami, ita quod inter ſe conſonent per
                    <lb/>
                  ſextam maiorem tolerabilem, & ſi ſic inuenio, tunc nihil muto has treschordas hoc.
                    <lb/>
                    <xhtml:table xlink:label="table-0293-01" xlink:href="table-0293-01a">
                      <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>
                      </xhtml:tr>
                      <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>
                      </xhtml:tr>
                    </xhtml:table>
                  </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum