[ 7 6 3 ] 
'undertakes to explain the harmonic elements, after 
treating of the fpecies of diapafon, he gives not the lead: 
hint, that they had any relation to the modes, except 
by giving their denominations ; and in doing this, he 
expreffes himfelf (42) as if he thought thefe denomi- 
nations rather affigned for fome feparate reafon, than 
on account of their connection with the modes ; 
though, as he was going immediately to the doCtrine 
of the tones, this was the place, where he might have 
been expected to have taken notice of the connection 
between the two doCtrines, if he had obferved it. In 
treating of the modes, indeed, though he explains 
them on the foot of the harmonic doCtrine only (43), 
he afligns fome of his author’s reafons for reducing 
them to feven (44). And his note alfo on the be- 
ginning 
(42) Atque has quidem diapafon fpecies feptem fua fingulae 
fortiebantur nomina ; prima di£ta eft Mixolydia ; fecunda, Lydia ; 
tertia, Phrygia; quarta, Doria; quinta, Hypolydia; fexta, Hy- 
pophrygia; feptima, turn Locrenfis turn Hypodoria. Tandem de 
modis, -feu tonis dicendum reftat. App. ad Ptol. p. 31 1. 
(43) Modus itaque, feu tonus, prout hie fumitur, denotat vocis 
locum, non quo una vox, fed quo tota vocum feries, feu fyftema 
canitur; acutiorem puta, gravioremve. Utpote prout apud nos mi 
canitur, nunc in b f b mi , nunc in elami , nunc in alamire , See : 
Sic apud illos verbi gratia, paramefe poteftate (quod tantumdem 
eft atque noftrum mi), pofita erat nunc in paramefe pofitione, 
nunc in pofitione nete diezeugmenon, nunc in mefe. Sec. Ibid, 
p. 312. 
(44) Contra hos, qui tonos, feu modos, fic augent per hemi- 
tonia difputat Ptolemaeus, cap. 7, 8, 9, 10, II. lib. ii. docetque 
modorum variorum ufum non in hunc folum finem introdutftum, 
ut acutior graviorve fit totius cantus tenor; quippe huic fufficeret 
cantoris vox acutior graviorve ; aut muhei organi ad hofee tenores 
accommodatio. — Sed eo potiflimum fine fuille introdu&um, ut in 
ipfius cantus curriculo tranfitus fiat de modo in modum, quam vo- 
V.ol, LI. 5F cant 
