C 735 1 
The mufical doftrine I look upon as the moft 
antient, and that which exhibited the modes in their 
proper character ; for which reafon, it could not 
avoid making a part, and probably the moil effential 
one, of the doctrines of melopce'ia. The precife time 
when it firfl came into ufe, I pretend not, in the 
midfl of uncertainties, to be able to determine j but 
we may, perhaps, be near the truth, if we refer its 
origin to the age of Pythagoras, if the eighth firing of 
the lyre was really, as we are told, the addition of that 
philofopher. The flory of his difcovering, at a forge, 
the ratios of hypate, mefe, paramefe, and nete, is 
well known. Thefe ratios, which gave rife to the 
harmonic proportion, and the numbers of which 
were fo vainly applied afterwards, by philofophers, 
to all the parts of the univerfe, were drawn from the 
Dorian fpeciesof diapafon, which we cannot fuppofe 
to have been well underilood, till its form exifled 
upon the inflrument. What dodtrine of the modes 
prevailed, before -the addition of the eighth firing, we 
can only guefs at ; for it was a queflion, even with 
Ariflotle ( 19), how the heptachord lyre had been ad- 
iufled 3 and Nichomachus fpeaks of that inflrument fo 
{19) Aid ti 0! dpyaiot t<zt] ayj>pd-<ss appimat 'joiu/Jzf t vzyarw, 
dkk 8 r v'irm> 'Kar’i Ki'ucv ; zron^p v tSto ‘YitidQ r dy.poTifc/t; 70 hat- 
kmov, <r di renw i^ippav 5 5 ) dk\ Wi n Gapv T&& i%uu r 4 id, v- 
’r'i&X p^o'yfoVy eoTZ [J.dkkov w \jsrdm d^idldn 7 0 dvTKfavoV >> 11 VZTir 
To o£u' dvvd/AZw y.akkov, to d& Capv gy.ov <p^Zy^adrat. Ariflot. 
Pro’bl. fed. 19. qu. 7- 
Atd ti 01 dp X.d'ioi i'Zr]aVopd>s( <UQi%v']i( raf dp[MVi(L{ T 'durdrM' dkk 
* t vnrw KATikiTrov 5. ij 8 T)jK vsraTuy, dkkd Triv vvy Hakvy'ivnv 
fJi<TW azmp-av Kai to toviouov dictTnya,. iypwi^o Si rn \<ydiv\ [Xion T 8 
cm t 0 od , u 'mjr.v ?, dib ka) /x\<rnv dvrw ‘&&<myopiv<T&v ; 5 ? oti i yjv rd pd 
avc.) T{]fc/:^j,pd 8 TikivTi), tx di katu dp yr, Mf y.iTov £yj koyov tovo) 
ay.pccv, Probl. fed. 19. qu. 48. 
confufedly* * 
4 
