Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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<
s
id
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s.004757
">Cur ſi quis neten cæteris intactis, percuſſam, ac ſonantem manu compre
<
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hendat, ac ſiſtat, videbitur audire hypaten? </
s
>
<
s
id
="
s.004758
">primo reſpondet, id accidere,
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quia ſonus ille extremus, quo nete ceſſat, euadit ſonus ipſius hypates. </
s
>
<
s
id
="
s.004759
">pro
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pterea igitur
<
expan
abbr
="
tũc
">tunc</
expan
>
exiſtimamus audire hypatem. </
s
>
<
s
id
="
s.004760
">cuius rei indicium eſt, quod
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lb
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qui cantant hypaten, facilè ad neten cantandam tranſeunt; cùm enim can
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tus hypates, ſit etiam cantus netes, & veluti illius echo, facilè eſt ex hypa
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te ſimilitudinem netes accipere. </
s
>
<
s
id
="
s.004761
">præterea in hoc decipimur, quia cum au
<
lb
/>
diamus ſonum hypates,
<
expan
abbr
="
eamq́
">eamque</
expan
>
; minimè tentam videamus, quemadmodum
<
lb
/>
neten videmus, eam ſonare meritò credimus; quod quidem in multis acci
<
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dit, vbi nec ratio, nec ſenſus attingit, ſic in ſcena aliquando putamus quem
<
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piam tuba ſonare, quod eam ori ipſius admotam videamus, cùm tamen
<
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alius poſt ſcenam lateat, qui tuba ſonet. </
s
>
<
s
id
="
s.004762
">ſimile accidit in nete, & hypate.
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/>
</
s
>
<
s
id
="
s.004763
">tertiò reſpondet, quod quando quis neten percutit, quæ omnium intenſiſſi
<
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/>
ma eſt, accidit, vt iugum, cui illa nectitur, moueatur, tremetque, ex quo
<
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tremore fit, vt reliquæ omnes chordæ moueantur, ac tremant, & proinde
<
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ſonum edant. </
s
>
<
s
id
="
s.004764
">cùm autem ſonus netis, & incipiens, & deſinens ſit ferè idem
<
lb
/>
cum ſono hypates, accidit in hoc caſu, vt ſonus deſinentis netis, vniatur
<
lb
/>
cum ſono hypates,
<
expan
abbr
="
ſicq́
">ſicque</
expan
>
; manifeſtè totus ille ſonus hypates eſſe videatur.
<
lb
/>
</
s
>
<
s
id
="
s.004765
">cæteræ verò chordæ non audiuntur ob eorum ſonorum paruitatem, qui ideò
<
lb
/>
exigui ſunt, quia excitati ſunt ab impulſu, & motu iugi, qui exiguus erat.
<
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/>
</
s
>
<
s
id
="
s.004766
">ſonus autem netes illis omnibus ſuperior eſt, & quia ipſa primò percuſſa eſt,
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& quia intenſiſſima eſt, & celerrimè mouetur.</
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>
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397</
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<
s
id
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s.004769
">Probl. 44.
<
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type
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italics
"/>
(Cur ſuauius ſolitariam cantilenam audimus, cùm ad tibiam, quam
<
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cùm ad lyram cantatur? </
s
>
<
s
id
="
s.004770
">An quod omne ſuaue, quod
<
expan
abbr
="
mixiũ
">mixtum</
expan
>
est cum ſuauiori, ſua
<
lb
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uius redditur? </
s
>
<
s
id
="
s.004771
">Atqui tibia, quam lyra ſuauior eſt: ergò cantilena tibiæ admixta
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ſuauior erit, quam lyræ. </
s
>
<
s
id
="
s.004772
">quoniam omne mixtum, immixto ſuauius, modo quis ſen
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ſum amborum percipiat. </
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>
<
s
id
="
s.004773
">Vinum enim oximele ſuauius eſt, quoniam quæ natura
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permiſcet, longè melius temperantur, quam quæ à nobis miſcentur. </
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>
<
s
id
="
s.004774
">Vinum enim
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ex acuto, & dulci ſapore mixtum eſt. </
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>
<
s
id
="
s.004775
">Idem manifestant mala punica, quæ vinoſa
<
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appellantur. </
s
>
<
s
id
="
s.004776
">Enimuerò cantilena, & tibia inuicem miſcentur, ob ſimilitudinem,
<
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ſpiritu enim
<
expan
abbr
="
vtraq;
">vtraque</
expan
>
perficitur. </
s
>
<
s
id
="
s.004777
">ſonus autem lyræ, quoniam non ſpiritu ſit,
<
expan
abbr
="
eſtq́
">eſtque</
expan
>
mi
<
lb
/>
nus ſenſibilis, quam tibiæ, minus voci immiſcetur: quare ſenſui diſcrimen inferens,
<
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minus ſuauis eſt; quemadmodum de ſaporibus dictum eſt. </
s
>
<
s
id
="
s.004778
">Adde, quod tibia ſoni
<
lb
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tu ſuo, & humanæ vocis ſimilitudine,
<
expan
abbr
="
plerosq́
">plerosque</
expan
>
cantilenæ errores occultare poteſt.
<
lb
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</
s
>
<
s
id
="
s.004779
">Sonus autem lyræ cùm exiguus,
<
expan
abbr
="
atq;
">atque</
expan
>
voci immixtus,
<
expan
abbr
="
ideoq;
">ideoque</
expan
>
manifeſtus per ſe, ma
<
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/>
nifeſtum cantilenæ errorem, quaſt appoſita regula facit. </
s
>
<
s
id
="
s.004780
">cùm verò multa in can
<
lb
/>
tando peccentur, quod ex
<
expan
abbr
="
vtriſq;
">vtriſque</
expan
>
compoſitum eſt, neceſſariò peius eſt)
<
emph.end
type
="
italics
"/>
ſatis ex ſe
<
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clarum eſt.</
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398</
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<
s
id
="
s.004783
">Probl. 45.
<
emph
type
="
italics
"/>
(Cur neruum illum, quem Meſen, ſeu medium dicimus, ſic appella
<
lb
/>
mus; cùm inter ſeptem, non autem inter octo ſit
<
expan
abbr
="
mediũ
">medium</
expan
>
? </
s
>
<
s
id
="
s.004784
">An quod olim harmoniæ
<
lb
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ſeptem neruis conſtabant, quorum medium eſt. </
s
>
<
s
id
="
s.004785
">Præterea eorum, quæ inter quæuis
<
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/>
extrema continentur illud ſolum, quod medium eſt, principium ctiam quoddam eſt:
<
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quod enim in medio eorum eſt, quæ in aliquo interuallo ad vtrumuis extremorum
<
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vergunt; illud ſolum, &
<
expan
abbr
="
mediũ
">medium</
expan
>
, & principium est. </
s
>
<
s
id
="
s.004786
">cùm igitur in harmoniæ inter
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uillo extrema ſint hypate, & nete,
<
expan
abbr
="
hisq́
">hisque</
expan
>
interiaceant reliqui ſoni, quorum is, qui
<
lb
/>
Meſe dicitur, eſt etiam principium, quippe
<
expan
abbr
="
principiũ
">principium</
expan
>
alterius tetrachordi, idcircò
<
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type
="
italics
"/>
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</
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