# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0415 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0415?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 387, page id 867984570:0415 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=415 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000415.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 106 lines, status machine # Lines: 106 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. HI A R M O N ICi A. nt a n Lb8O HO V. SECTLO SEP FTM L laNabOrTS Det 20S USOIS ovGuaS EH5 H∞) et 189185 X∞ NyLouCda. PE rot vo EhiV, no1a 2 r apcor 600yc raDTO dB GINEIV TEF CG ~d8, HaipEorS. H, C cuorco, 34D0185 idEah. Pem de pencodha est rela apporie, ZScoua, Harovor ex D 7 dha SHIaTCOVEYgOTHTOS paxPETTOS, NapSavor _ 3aG X∞DoeaS. Aquorta pdv SV naNCiraj, ∞ 7015 pt XPOTCITOIS TONCcVar casuaon dero 28 ounpuo aa. MIaroVOV dE, X 2015 21015, n7ot 2015 pet (00 Wasquaor cNeora Cor Enddn oDodporporn Dcorn XaT avro D) aTEIVE). Xpcoua dE, ∞ di nutrovicor, inroc peocor D)_SqaEcor, ovrTCvodvV 105 yd x qera ZV NoN i pENarO ZGa NaNE. STC On (C ∞ D)a peocor appor rcor cieneducor qucor Zeua cropa C). TErcor de Duoncoripor di est 7 D)a VoV ao nd (C 7oi5 ancydeVroIS NaVa aor pencodn E. Texvincorpor de ∞ 2ecoua 9 ad pevors pencoderr 215 ME d L 1dO1S. Axe BecEpor de rd crapuerior co D9 nd 2oi5 DaVEGATOIS EY PIBOIMN TETIXHHE d DgdoXus 2015 de noMois esir à duvaror der anégucour nves du Nar avro pencodiar, 29 dus caurior acdererar TaVTENCOS apIENCodHTOV T0 7013ToV X)e5yuC L B. RapGaTOrTS VCPXCI. ExNi Dn de rO TOISTOV ge vO, appovia 2)∞ Z0 aCGOV CivaI ZB TaVTOS ip pospdvor P.NoreXVoV qu d noMnS dcodvor von detaes CC 8 pacheos eis Xeno Épxeraj. Eideras idi τ01 X∞, 67 20 uer Xa rOVOV O, orpevov na Eppcopierer ie evrovor ndos M Dairce 20 d Xocopa ZOEDCTEPOV TE CC TaGynNCOTEpOV o)eV Nai Xpcoa ovo paErui _8 2O c 9TET CGD) , EEnMMaX)aI 8 X∞TCVS. Fivor) de aj 7 aucor 2)4P0C4t, G0V XirsisS P00785 id5 ev rois endra p na- ons axe Bctas de1XioE). Xpea dE Est, 185 cictur 3)aespeors. Xpoaet dé cionr ai prrai n Wuéo es pI Na reb NTONECCCTOV, oxrC apuoraS peta XpcoarO duo 2)a=VS, Nevr. H udi ~ aopovias EviXK Zeba, rn aorn 8 Quss chaypeos i aurn nexenrai povocidis gue. MeNcodcinq de Emi uer x BapV, Xaerae SrreraPTOV, KG SaciKOGorSITOV, n SiOSa exrosonuner Negor Ent x osverarticos, nara Barcesaegnoonuor, y Saenosoreiror, n d DErAPTOV. Fcor dE ZocouanNEOV chaipéoEcor, BapV rea per esv, n 8 panans xeciuar Xpoa in De Genere. Vnque de mulieo Syctemate jam dictum lic; proxime de Genere disteremus. Cc nus aurem est cerra quaedam Conorum Gelatuor (hoc est, cecrachordi) dirilio, (hoc est, qualiter dividuntur.) Seu, Genus est melos generalem quendam morem indicans; habetque lub se varias (species, seu) TOrMAS. Genera vero melodiae lunc eria; Clarmonia, Chroma, Diatonum: disterentias luas d dialtematum pro- pinquitare auc lonsinquirare Tumencia. FIt uri que TTarmonia, qua minimis abundac dialtema EIS; dicicurque d oconpuoas (coaptari.) Diatonon (intensum) rero, quod tonis, hoc elt majori bus dialtematis, abundat; eo quod in eo vox rehementius incenditur. Chroma vero, quod per Hemiconia, hoc est meclia dialtemata, con- Tenditur. Or enim quod est albo et nigro in- cermedium, Color dicicur; Cu quod elt dictis duobus generibus intermedium, nominatur CheO ma (color.) FX his, magis Nacurale elt DiacO. non; ut quod est omnibus, etiam indoctis, can apcum: masis aucem Arciticiale, cM ChrOMmA; uc quod a solis edoetis canieur: sed omnium Accuracissimum est Pnarmonium; uc quod d so. lis eminentistimis in mulica receptum obcinet plerilque recepsu impossibile. Onde est quod aliqui melodiam in hoc genere plane repeiune, (proprer suam iplorum imporenciam,) hoc se nus existimances modulacioni plane meptum Vocacur aurem Harmonia, quali (aes sor) OpeI mum tocius harmonici concencus. Arciticiolum enim est multaque indiset altuetactione, nec ta cile in ulum reducitur. Sciendum enim est quod senus Diaconum, grarem, robultam tirmam indolem ostentat: Chroma vero, magis intinuantem ee pachericam; unde de Chroma nominatur, quod magis cultum sic de retorma cum quam Diaconon. Oriuneur aurem hae CC nerum differencix ob TonOS mOTOS; uE in lC quentibus cum omni accuratione oltendecur. Chroa vero eM generis specitica diltribucio. ChrOK VerO, d PIOLEMRO MEMOTAIA d aGnIIX Tunc octo; Plarmonix, una; ChrOIaLIS, duX; Diatoni, quinque. Harmonia Chroa unica, can- dem cum genere diritionem Corcitur; elt enim uniusmodi. Canitur autem IN SFaVC, TaCIONI bus selqui quarca, selqui riselima tercia, de sel qui quadrase sima. quinca: 3 x35 x 45 = 3. In aeu cum vero concra, racionibus lesqui quadrage sima quinta, selqui vigelima tercia, d selqui- quarta. Chromatiearum vero divitionum, sr2 vior est, mollis Chromacis Chroa; qua ca nieur tdC Noh. est pEN O, idoS Ha)ONNeY Z MEVD aivor u, EX a lrO nerro rellicuo ex Lucliae cni bPrO