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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 396, page id 867984570:0424
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3
NI A N V E L IS BR Y F N N IT
rum de maxime nocabilium contonanciarum. ecrcer nesi gucopsuessarcor ou pcovicor esi da popa
F.S enim Dia pente, quam Dia celtaron, Tono
major: seu interrallo quod in ratione selqui-
Octara conspicitur, 8. Flemiconium ucique, (quod
et a Canonicis Limma dicitur,) non lic dicieur
quali eslet Foni dimidium, uc centuit Ariltoxe.
nUS, (uE Pemicubicus est cubiri semilss;) sed
ut dialtema concinnum quod Fono minus lII:
liene liceram rocamus semi-vocalem, non quod
sit semis vocis, sed quod non per se conticiat
completam vocem.) Ostentum enim cAt, quod
omnino non possie Fonus in duo aequalia di
vidius qui in ratione conspicitur selqui octara
(ur nec aliud diastema Tuperparciculare;) non
Pocelt enim numerus Norem diridi in duas par.
res aequales.
Onando isitue vox (in sui, qui dieitur, Lo-
co) melodice canens, a graviori Pono, inter-
vallo racionis sesqui viselimae (seu porius Lim-
matico) in acutum cransacto, ad lonum hunc
secundum perrenerit; indeque tono incegro una
vice crantacto (seu rationis selqui octara in-
cerrallo) in alium perrenerit sonum; velitque
continuo procedere melodice: non porest aliud
extribere incerrallum, aliumre proterri sonum
x ad 2)a nEvrC _ _) _ TEOApCOV roVCO LDEBEX C
15ot 24siuan eo Eroydoco noyco decop 31dco. 20
pdo roi 3E iutrorter, ∞ CC Nia D4 7015 navo
VInOIS HNSLdvOV, 3X co5 iu1VV LVS NEgOTCH, idaDEE
ApheO ierrai nab o n x qutnxo uo
TrXEcOS aN eos Ena Tov toVS pENCodyroV Z)aS
pras nado n ∞ ipu DcoVOr geaa, XX co5 ijutov
OcrnS, NaNS a ios pin aurorean nal avro
Dcorlio DeDTENSV. Reirvo) Zd o ror 6 undoncos et5
duo ioa chaspeio doradvos, et Noyco decops pdvoS
enoydoco nadance 3o àmo n Duspior 2)d
Snpa  Id evvea cvX siev X Z) aspediva 15
ou.
OCar pdté rot ruo n Dcorn pencod So, CY, Ye NE
gouico rorco aeriis, diro nO Baprips 480g8.
37d05S Noys Z)aSua n paMOV CinEir N
panajor, c x oEv perabaor i Y aoror endu
devrceer Ployror nandr un airs rover Xaso
recoro, not eroydos noys Xasqua Ex eMOV
coaronny Ploygor Bonoudin nara X Ehys de
nonc ExpENCS. id er erepor duva ry civat X)giS
concinnum melodicunque; quam, incerrallum pa, 3dE Wescrerna DDoygor ercegu eupenn
Tonicum, Conumque qui incervallum illud in iouosulior n diasqua pdi rorajor, Ooygor de 
acurum terminet, contonerque (cum illo pri-
micus Tumpto) Dia telaron consonantiam: Ad
eoque concinnac hanc consonantiam, in acucum
ratione limmatica, sesqui octara, ec selqui octa
ra; et in grare contra, ratione selqui octara
tesqui octara, et limmatica: Dicicurque (C can-
S x oEv TBrV de CorE. C sUuDcaVSVTAr e
apxiS Ti dui reaapcor SVDcoa IS TE MEN
deidas ri rocaurus ooupcoriar,  pdi x ilv.
Kara RepopaajOr,  enoydoer, i enoy door négor
eni i) x Bapo, cvariicos nara enordoer,  enoy-
door. nai neppaaior Oroua CCra) ) ∞ _TCO pE-
Texegxepdo dE vrepor rors sepphonosis.
Fetrachordum acurius Foni Aypermixolrdii.
Genus Diconicum.
Inern.
maeoneru, n reern.
huscutiru, n nexavts.
A1revicuier.
ncodudeo
vnta oras cd sortot.
reirn reo pbonacor.
noceiora inclaraior.
vara incelonaeuor.
Ouo rectius percipiatur hoc Schema, (quod paulo alicer ordinatur quam in NISS, ) aliaque similia pro reli-
quis Generibus; Gc incellisc. LXDOMUNEE quatuor numeri, (in ea racione minimi.) quorum extremi duo
rationem Contineant Selqui Tertiam, Z = 13; Ouibus longicudine proporcionales incellixancur coridem tela
inex. cum ranxsentent lanoituamtes Chordarum (istius Ferrachordi) quatuor l’artidicu aequalium ex aque
remarum: ICurrum Prima seu Congissima, Sc (iltius Pecrachordi) Fypate; Sclunda, Parypare
Lerria, ParaNErC seU LACHatOS; Ouarta, Nete. Ouxe quidem (pro acuriori Petrachordo tomi Fypermixoty.
_T) Iune Nere diezeuomenon, Price hypetaon, Paranete hyperbolaeon, ee LVece hyperbolaon. Suneque
(256. 292:: 4. 3.) eorumque disserentia 64 (= 256 - 192.) Binatim aucem sumpris concinue proximis;
erimi ad Secundum R acio est Limmatica 356 (hoc est, ut 2562d243.) Disserentia 13 (= 250 = 243) S6
cunci ad certium Ratio Selqui Octara 243 = 8 = 18 (_CtPC 243. 210.. 9. 8.) ta 2) (= 243 210.)
indicanE.
Crice;
haec hactenus omnium Grenorum communia. In hoc aurem Genere (genere Ditonico) quacuor illi Numeris
HC expOsiri, sunE 256, 243, 216, 192. Ouorum extremi duo (256 e r92) sunc in ratione Selqui cerria
cluidem modum in temslis Generibus; prour appotici (in cujusque Generis settetale) numert
Tertii ad quartum Rario icem Sesqui Octara 715 = 3 (seu 216, 292: : 9. 8.) Diferenia 24 (= 216 - 192.)
Verum