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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 425, page id 867984570:0453
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=453
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000453.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

HL A R M O N TC A. 1
To Bapirepor rerexdor 28 sepuizonudis ror.
Cravius Zetrachordum Fypermixolydii Foni.
RIaroVV QuaNor 1O.
ourn.
Cenus Diatonum Aquabile.
rapapicon.
recrn stit dyudicor.
racorira Dict eoyuticor.
viru si evrudticor.
permixolydii coni; ee Paramele, Hypate: na
bebimus inde etiam, quam rationem habet eju
Prollambanomene, hoc elt Mese, ad ejus Hy
Paten, hoc est Paramesen. FC, Si velimus pe
sectionem invenire Prollambanomenen hujus
coni, et quam habet ea rarionem ad ejus Iy
paren; dividimus ejus FEypaten in octo par-
ces inter se aequales; Facimusque octaram gra-
riltimamque ejusdem chordam, qua est Mele.
aequalem ipsi cori ejusque parti octarae; uc na
beac haec ad illam rationem selqui octaram;
acque per sectionem inven
banomenen, ee quam rationem haec habet ad
ejusdem FIypaten. Sic itaque Facimus generis
Diaroni aequabilis sectionem d diritionem.
Hoc etenim melodix genus, uc oltentum eAt,
canitur in grare, secundum rarionem Cesqui
nonam, selqui decimam, de selqui undecimam;
in deurum contra, secundum selqui undeci.
mam, Cesqui decimam, e sC(qui nonam.
Onivertim enim Sciendum est, quod carun-
dem rationum excestus, (hre numeri line
sive dialtemata,) nunc majores lune, nune
minores; propier scilicet cum numeri, tum
dialtematis, auxmentatirum procellum in infr-
nicum; sed excectus earum Racio una temper ea.
demgue cH.
ragomira, n recra.
ExariTH MXZavos.
VAEEDO toVS nOE c DGEOn, VNorn EGO
CFI
edo ar auroder, CC dv negor n Weconaubaropdin
aVT8, 170  AEon, Xpo5 T ar aurS
n 7ot Tled C DGNIEOV, HEHTH). Et ) i X)a D nara
rouin5 β8andemud evocir rlo ego napebarordiilu
28 501ST8 201S, (C ov aVty Kozor Xeos Zlo on a
Tlu aUTZ NEKTH) dhaipse TyV inol aVTS
eis o1F Co poeon 1oc à MnNOIS. L ro1Suer riv oy d’olu
in Baporarl aurS X00d nV, 4701 Tiv peonv. iolu
onnavrn  50 0ydoo p aVEnS ios exr aurn
pos Mno, Nogor enydoct C eimpoer nai D) a 2
Ha. (_ rop HB EDPHHOTES H, THV WdCSO Barodo ai
78, CC dv Noyer aurn rpo5 ryV Vnarlo aVrS HE
Xrn J. DurcoS SV aeq rotSuEV rjV FS 2)aForS qua
A3 GoS iOT rOIIV X, dhaespeod. KC. yd ∞ F018F01
3 pcodias, eo5 dedet). di udi x Bapi
pCNCodCTA, Xara Exte V, nas EmdENaTOV, Xct
Exie DExaTOV Novor d) FO CVaVTICOS, Nara
EAEVDENATOV, Xet EHID EHCSFO, Nt EHHEVVaTOV.
NoycoV VnEDOZaI, etre delopst, eire D)45uare etor
norE idi pciC N5, nore ob et a. 285 coi X4.
dynadi Trv En andeor 2X axibus naet r8 Xasi
paFCS adEgn 700d er d de D VAEPOXHS aV
Kadons) avarnaior cidevaes, on ai 7 avru
rer ner , aci eis nat o avros esi.
Numeri in hoc Schemate majores sune quam qui in praecedente (Jeet Callet Met d ra) Ga peri
nepr ad prarius cetrachordum: nOn aurem in ea ratione majores quam BOltuLaE LCLICHO CSI (Aet C) in
cervallum, quipDe quae Foret sesqui- tertia, ut 4 2d 3; (nam in ea FaLIOHC T CCHCI ad
respectiras chordas conjuncti cetrachordi:) sed sune priorum dupli; qu sase  eem eor
Terachordo Gravioris Dia- Paton; seu coni Fypoelorri; qui est, 10r0 L Vatehs um Lypermixo.
lydius. Ec paricer in sequentibus Generibus
a Pro nasunciriu repono incirtu, centu pollltante.
Suppleo