# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0456 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0456?run=74 # 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 428, page id 867984570:0456 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=456 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000456.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 118 lines, status machine # Lines: 118 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. 4. 20 Hhoc enim melodix genus, ut oltentum est, in grare canitur secundum rationem sesqui nonam, sesqui octaram, de Pe (qui decimam. quin. tam; in acucum contra; sccundum rationen sesqui decimam quintam, se squi octaram, et sel qui nonam. Verum hie Cubie dubitare, Ouam ob cau- tam, cum ex tribus concinnis dialtematis omne Tyltema consonum Dia tellaron constare natum lic; nimirum Maximo, Majore, ee Minimo. maximumque debeat natura sua locum ante. cedentem semper obtinere; majus medium: minimumque extremum: Ouipre his ita rite dispositis e inter se connexis; cum vere con- cinnum contexitur, tum consona speciticantur Tyltemata: Ilic aurem (in Syntono. diatono) ma jus dialtema locum anrecedentem occupat; e maximum medium. Ad hoc Tummatim dici- mus. Duod cum Auris sit qua omnino ju- dicatu quale post quale dialtema compolicum, vollit concinnum etticere Pystema; quale au rem post quale non poltr: ubi pocest haec clare persentire ditterentiam dialtematis maxi mi, e majoris; ibi merico maximum dialtema Syllematis consoni Dia tellaron locum semper ancecedentem poltulat: ubi rero omnino non Dotest hoc efticere; ibi judicat ommino indit. terens esse, locum anrecedentem obtineat maxi- mum an majus diastema. Cumque exceclus quo racio selqui octara superat sesqui nonam (in eis ubi haec admiccuntur diastemata) est auri bus omnino impercepcibilis: propterea, hic non incommode (ob quam cautam in sequentibus dicemus) majus dialtema locum ancecedentem obrinet; maximum vero, locum medium. F.X- cestus enim quo diastema sesqui octarum fupe. rat sesquinonum, ratione selqui octogelima con- spicitur, 18) 8 (85; talem aucem tam exiguam lonorum rariationem non votelt auris clare distinguere. Vel; Ideo hoc in loco majus dia Rema locum occupat antecedentem; maxi mumque, locum medium; quoniam lae dux rationes (selqui octara et selqui nona) in qui- bus ea generis Syntoni diatoni diastemata ima- nitelte conspiciuntur, lunc prove aquales; hanc aurem dialtematum prope aequalium in fonis disterentiam non porest auris pertentilcere; DEOPEEE magnam Ponorum similicudinem, par ramque diverlitatem seu alterationem: adeo. que non debeat auris hic nimis esse curiola aut solicira, ue in aliis, quale post quale duo rum dictorum dialtemarum, et qualenon, con. necti sic necelll. nyS (VEVOV LOTV _ et DVOd CHEZCIN CDCINeVTS, +8 de pci (or (O E pIEOOV, EBdEENaX156 6 eg 1oV 18. rcor nat gd eAqDes _rco aTlo+dcoV Z Nat ouvet PnEICOV NEOS aMHNa, TO TE OVTCOS CES Et DaivE) nost 2a u ad o onotera 003ata EoOV ∞ uEZIGOV, Y NEOEV. 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AMa Xapor evrao da 3) 4Mop 102e1, 310 2 CM TGIEOV EpOIENN XIASqdECoV a X aV 3)9 reOSd pesi SupPcorOY 5V5H p ME DOnOS Néyoid On p2EZ15S, pEtOr(O, te EN aX15S nar S pcgS Den). Si edo x Bopo prncodciroq narc Striey- Pi ) ∞ oV CVarTICOS, KaTa SEVTENCIdEHaTOV Cum rero Parypate generis Diatoni aequabilis diatoni, (nam Parypate seneris Diatoni. a quIa bilis, conspicitur in ratione sesqui decima, lec Synioni diaroni in Celqui octara; quando au rem ad communem aliquem cerminum compa- rancur termini duo, minor quam major inten. ipot co a S M ov), ò ed AcoV S peIOVOS ovVTOVIOT Eic masis incenta guantL als pau generis Syntoni. Errao)a ∞ ui poct po 1 16CVOV EHEG lius continet diastema; uc eli in organis magis por érext chasqua na dusreo ey rois opzaevols Parepor