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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[284] Pro Lunæ ortu. Ad lati .45.
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[Figure 285]
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[286] Pro Lunæ occaſu. Ad lati .45.
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[Figure 287]
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                <head xml:id="echoid-head414" style="it" xml:space="preserve">De eodem ſubiecto.</head>
                <head xml:id="echoid-head415" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3470" xml:space="preserve">QVod aliàs tibi dixi, verum eſt, quod neceſſarium nullo modo ſit, vt modulan-
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                  do, deſinat cantilena in eodem tono (quod Græci phthongum appel-
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                  lant) à quo incępit. </s>
                  <s xml:id="echoid-s3471" xml:space="preserve">immo neceſſariò ſemper ferè, altius, aut depræſ-
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                  ſius terminatur, per differentiam alicuius interualli æqualis, vel multiplicis ipſi com
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                  mati ſeſquioctuageſimæ, quod quidem comma, quamuis cantabile non ſit, inſenſi-
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                  biliter tamen generatur, & toties ab aliqua parte ipſius cantilenæ poſſet
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                  com-
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                  ma gcnerari, verſus acutum, vel graue, quod in fine ipſius cantilenę, vocis phtongus
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                  reperiatur diſtans à primo per interuallum alicuius toni ſeſquinoni, ſeu ſeſquioctaui
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                  plus, minúsue, vt in ſubſcripto exemplo clarè videre potes in prima figura, vbi ſu-
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                  primę cellulæ ad
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                  ſecundæ, intereſt vnum
                    <reg norm="comma" type="context">cõma</reg>
                  , eo quod progrediens
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                  ſuperius in prima cellula ipſius cantilenæ à quarta ad quintam cum tenore, aſcendit
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                  per tonum ſeſquioctauum, à prima cellula deinde ad ſecundam, tenor aſcendit ſimi-
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                  liter per tonum ſeſquioctauum cum tranſeat à quinta ad quartam, quod facit cum
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                  ſuperiori, in ſecunda cellula poſtea, cum ſuperius deſcendat à maiori ſexta ad quin
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                  tam, quod facit cum baſſu, ſeu à quarta ad tertiam minorem, quod facit cum teno-
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                  re, </s>
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                  <s xml:id="echoid-s3473" xml:space="preserve">Progrediendo igitur hoc modo, videbis quod cum tenor à ſecunda cellula ad ter
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                  tiam tranſeat à tertia minori ad quartam, quod facit cum ſuperiori, deſcendit per
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                  tonum ſeſquinonum, vnde in tertia cellula altius remanet quam in prima per
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                  comma, in qua tertia cellula, cum iterum tranſeat ſuperius à quarta ad quintam,
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                  facit cum tenore, eleuatur per tonum ſeſquioctauum, proſequendo deinde tali ordi
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                  ne, vidc
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                  bis in quarta cellula cantilenam auctam per duo commata, in ſexta,
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                  cel-
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                  lula per tria commata, in octaua verò per .4. commata, vnde hac merhodo, ſi can-
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                  tilena prolixior debito eſſet, vel ſi talia interualla frequentiora reperirentur, poſſet
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                  cantilena à principio ad finem differre per .9. commata, & plus etiam, quæ quidem
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