[ 75 2 3 
chapter, as appears from his own words, in the (e-- 
cond chapter of the third book. 
In general, for fuch ufes, as comprehend a d.apa- 
fon only, it behoves us to employ, out of the numbers 
exhibited, thofe which contain the fettion from nete 
diezeugmenon, that the melos may be taken in the 
middle tenfions ; but for fuch as comprehend the dif- 
diapafon, thofe exhibited from nete hyperbokson, or 
mel'e, that the tuning may be adjufted at both exti 
mities alike (27). 
Here we fee he fully explains his former mean- 
ine ; and, in recommending his firft fei of tables or 
the ufes of a diapafon, gives the fame reafon for the 
choice of that diapafon in particular, as he a igns 
for it in the eleventh chapter of the fecond book, 
viz. that the melos may poffefs the middle of the 
inftrument. But it muft be obferved that when the 
whole difdiapafon has been adjufted by the fccond 
fet of tables, the tunings of the eight things, fiom 
nete diezeugmenon to hypate mefon, will come out, 
for every mode and genus, the very fame, as if -hey 
had been tuned by the firft fet : fo that no inference 
can poffibly be drawn from thence, either that the 
author has varied as to his own meaning, 01 t a e 
diagram, which 1 have given, does not correfpon 
with it. 
