[ 77 ° ] 
jed, his account of the modes refpefting chiefly thofe 
of much later times, which were diftinguifhed into 
plan-al and authentic, and with which the prefent 
queftion has very little concern. Nor have I met 
with any thing fatisfadory from their academicians, 
though fome of them appear to have taken great pains 
with the fubjed. The writer amongft thefe who 
feems the moll converfant with the mufic of the an- 
antients, is Monfieur Burette, who, in the Memoirs 
of literature, has furnilhed many pieces on the va- 
rious branches of the fcience. Amongft others, there 
is a differtation of his on the melopceia of the antient 
mufic, which the learned academician lhould rather 
have intituled a differtation on harmonic j for it con- 
tains an explanation of the elements of that fcience. 
This author feems little apprized of the mufical doc- 
trine ; nor has he given a right account even of t ie 
harmonic one, having followed \\ allis in his miftake 
in refped to the method, by which Ptolemey fixed 
the pofitions of his feven modes (53), and even 
drawn the fame cont radiaory conclufion ( f4 ) • 
fro) Qu’ainfion devoit renfermer dans l’efpace d’une oclave to7s 
\53) ^ . pj or j en Jevoit occuper, comme le centre, les 
les modes, dont le Uonen c QU £ j’ Mixolydien fut d’une 
fiv anfres etant ditpolez de racon, que ic j . . io 
«Lne p us haul que leDorien; l'Hypolyd.en d’une qunrte plus 
bas qu= le M.xo!?d,cn ; le Lydien d’une quar.e P - - qu 
I’Hvpolidien , l’Hypodorien d’une e Vl’H pol 
le I’hrygien d’une qumte (Jus hiu W >• „. Differtation fur 
phrygien d’une quarte plus bas que le rnr) D 
• ' e ^u| parol, . q u’a c CO,np.er 
^ 'on i'de PH ypophrygien a 
- ***" 
Mixolydien, ua demiton. Ibidem. whence 
