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# Title: [Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea (shelfmark Leibn. Marg. 100:3)
# Folio 468, page id 867984570:0496
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=496
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine
# Lines: 112 recognised, mean confidence 0.81
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ABC
ob hanc iptam causam NeTC VOCAtUT,) est com
munis terminus duorum systematum contra-
conantium Dia paton, acurioris et gravioris:
hoc est, duarum veceri formium lyearum octi
chordium. Per hanc enim inter se connectun-
tur illa duo Cyltemata, quibus concentus har-
monici completur perfectum Syltema, quod vo
eacur (ut anre dictum cM) Immiucabile.
Porro, cum Emiliter in ancecedenribus olten-
Tum est, quod Necc hyperbolxon, sic coni Fy
permixolydii Nete; d Nece dicreurmenon
ejusdem Mele; de Paramele, IIy pate; e Mele,
ejusdem Proltambanomene. Pariterque Cimili
cer, quod Mele,, Tr FIypodorii Nece; Elspate
melon, Mesc; Fyparc hyvacon, Hlypace; et
Prostambanomene, ProMambanomene. COuip
De tonus omnis, ue ostentum cA, suam haber
Neten, d Meten, e Bypacen, e Prostamba
nomenen.) Tonus aurem Ilypermixolydius
elt quam Fypodorius acurior, Pystemate con-
tra Tonance Dia Pason: prout jam anve dixi
mus. (Ouippe quam rationem habet Proctam.
banomene coni Elypodorii, ad Procambanome.
nen EIyvermixolydii, nempe duplam, candem
hrabet de Wec Hypodoru, dd Neren Hypermi
xolydii.) Indidem habebimus, in organo, ordinc
dispolicum, primum quidem conum Flypodorium
urpore prae aliis omnibus gravistimum; ulri
mum vero Eypermixolydium, urpore acurissi
mum. FHicimus aurem (ope praedicti acuti
cuspidis circini) Hypodorii coni sectionem et
dirisionem, secundum praemonstratas rationes
cujusque anre recentirorum octo melodix sc.
nerum, ab acurioris cetrachordi Netc, hoc et
Mele, inchoando: eodem plane modo, quo sont
Eypermixolydii, cum omni accuratione, ante
Fecimus.
Sed cum, ue potumus, hrericer tum dixi
mus, ubinam in orsano ordinare ee Prxeparare
oporcet conum Iypermixolydium ee Elypodo.
rium: quin ee de illorum ordine et constru-
etione: ommino par ehe duximus pramittere
quod hi duo coni Toli, prae aliis omnibus, in-
cer le connexi, pollunt incegre exhibere uni-
vertum diactema Cyltemaris immurabilis: Pro.
xime dicendum elt, ubinam in organo, reli-
quorum item tonorum quemque oporteat rite
ordinare de construere. Et primo quidem 10-
num Dorium; deinde reliquos. Nam hic tonuS,
ut oltentum est, Melen Cuam habet iplam or
sani chordam Mesen; ad quam conjunguntur
luc oltensum est) inter se dicta duo concra lo-
lC
 ypermixolydius e sPoiors. Cunque
e conus hic, ue ostentum est, Neren suam
HaBeat Paraneren diezeugmenol, (hoc est, Me.
idun. Wegona. Las 30 ana 5 (O), coh
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advot, aVEMICoS ∞ F8 a uera oNS oh to 
sen coni Mixolydii;) Mesen rero, iptam MC. H A K 16 503, cis dedam) virm idi
xt a co davitur tat u at, Hodt rui picono r3 ushododis rors prono de. rui petosu avrs
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ocer ovsqua t rairo ’creir, oi cipneduor duo o
nancia dia palon lyltemata: Hoc ele, dicti duo
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