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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 111, page id 867984570:0139
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.81
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aP.
olIis)
in N
Cdpp. 13. H A R M O N IC O R E M L. IB. l1.
Hoc est, in numeris etolemai; pro Modo
Mixoly.)Lydio. (Phrygio.) Dorio. (Hypoly.) Hypo. Hy 0do.)
dio.
60 060 12]60 57(60 050 11160 12]60
168
86
90
34163 1367 4368
TF)72
14)77
080 168T 16(80
3463
72
0(80
0(84 1790 18jOr 26]84.
102 5294 4094 49) XOF 3557
124 17)208 227106 40 206 40) 107
T208 22(106
AC
120 0120 24(22r 541220 0(F12 221120 24 12C 54) A
Duinam vero ex tis, cum Tonico Diatono, commilcentur; ex Canoniis liguet.
Suntque horum rationes; pro modo
Mixolydio 3 X13 x3: X 8: X 4 X 18, X36
Tydio 2o: X  X3 439: X 8: X 3 X
Phrysio 13 x3: X 3 x 3, x3b: X 3: X 3
Dorio.
3 +13 4 25 : X 3 Y13 + 3: Y 2
Fypolydio 2: X 3 X13 x 3B: X 3 X 3, X32
EAypophry sio 26: X 8: X 7 23 4 38: X 3 X19
Eypodorio 3 436: X 8: X 3 X 9 436: X 3
Diaconum Diconieum Ecolemai componitur, pro Dia paton d Nete, in modo Dorio, ex hac
concinua mulciplicarione, (per cap. 16. lib. Y.)
2: 2 8 u 8 2 36: 48: _84 8 ∞ 3 6 = 2.
Onde habentur numeri (ut prius, ) Pro Modo
Nixolydio 2 32 3) = 8 8 32 3
Tydio
Phrygio
Dorio
 3) 2 343 37 3 3 
5) 2 8 37 3 2 28 15
F 8 8t
3 2 16 28 2
Fypolydio 38 37 3 1928 138 18 2 [313
Hypophrygio 337 3 2 1 18 2) (2 n
Hypodorio 3 = 26 15 2 (3 3t
Ouibus in situm debitum relatis: indeque rejectis qui reduncane, e suppletis qui detr-
ciunc; habencur quaesii numeri, (pro Diaconi Diconiei Dia paton a NCtc:) Dempe, in
Modo
av. phrys. rio.
F363
2367
13sC
OF
10, 01. 1680
2790 78IOr 26
1004 48(TOF 35. C.
Aete