[ 7 26 ] 
With this chapter he ends his doCtrine of the 
modes, and of their reduction ; and we fee he here 
makes the mufical dodtrine of the fpecies the bafis of 
his theory, as far as concerns the rejecting the eight 
redundant modes ; though, out of caution, and to 
obviate objections, he had eftablifhed the feven 
upon the harmonic doCtrine of the pitch of the 
AAV, JtA TO Tilt TTAPJ. TO flZTttOV »l Kcl\ATATZUt Z7TITTOVOV 
Kelt GzCt&ffpwov. H fizv to piti'ohvJw piz<r >t kata tiiv^ Juvaijiv, 
ZpApfJO^ZJAt T? TOTTCO TVf TTAfC/LVi) THf TUV J iZ^ZUyflivuV IV 0 TO 
rrpuTov « Jot, \v tco TrgfKetpzvu, •troimv) TO Jia ttatuv. H Jz n Mj~ 
JtU, TCO TOTTCO T1K T£lTMf TUV d IZ^ZVypZVUV , KATA TO JZVTZQOV (iJ&t 
'H Ji TO Qpuytti, TCO TOTTCO T»f TTA^ipZA Ilf, KATA TO TtlTOV &Jof. ~ H 
<H TO JW», TU TOTTCO T»f flint, TO tiff A TO TZTApjoV KAl^ flZCOV JiJof 
TO JtA TTACTW. ' *H « ft TO VTTOWJ'l*, Tto T ’oTTCO Tlk^A l^AV* TUV [XZCTUV, 
KATA TO TTZfJ.'/]cV &iJ&> *H tN^TO VTTOfpVyiV) Ta TOTTCf) Tilt TTelpVTTA- 
TH ( TUV pZffUV, KATA TO ZK70V &tJ&. *H Ji TO VTToJutlll, TCO TOTTCO 
THf TuV pZGUV VTTATHf, KATA TO iCJofJO V tiJ Jvi’A&A l T l- 
Vcli ZV TCjH aJnfiefll TUf&ltd-At cpd-by[v( AKtVHTXf, ZV Telit T «|/ TOVUV fii- 
$A0 fJOycHf, TA£ 5 t<puKettu 0 v]Af TO (JZyZ$© J Tilt (?UVHf JlA TO flllJzjOTZ 
TAt ZV JlA^O^lf TOVOlf OfJOlAf JvVeLfXtif, TOI { AVTUV d-JOyfuV TOTTOtt 
rrzttTriTrietv. U\ei'ovuv J'i tuv tovuv tta£A t hut vTroTiSzfizvur o ttoik- 
CIV 01 ZV Tolf. nflljoviotf T cit U TSl&yAf AVTUV TTAgy.VZOvjzt AVAyKAlOV- 
i^Ctly cT U3 TQVCdV fj/c&clt iVQ$ P’S'O'W** TOTTCO ^AvJcO^ Uoi^eiV CO $ •3' OKct 
KlVti&cLl Tci GVS'hfJ.cLTcL, KtlTCL Ti)V US <*AAhAk$ TUV S"vQ 7XTC0V TOVCOV 
(Azd-Apfioyvr fMKZTl Tlip«V]iX K 0 tvr)V TtVA TUV Z^CtfxJlf T aatVy A T 2 A£J- 
y.TI»$n<Tf\Ai to Uiov T~it cfuvYit. Tws pi p> to vwoJuej. », yzpz zi^hv, 
th J'vvduet [Am t, <rvvs£zuypzvtit tm kata Tttvd-tA/v tuv fizeuv wtsatw 
P J'i TO x&royfvyix TM TUV fJLZAUV TTAfV'TSATf’ TOV hAfl€<*VO{XZVOV ^.ZjA^U 
TXTUV TOVOV , KAh*[TZV0V Ji vkr’ AVTUV tApTZ^SV VSTOfpvy/OV, TSA<> ZK&tVOV* 
o<;vTZ(yv, Jzmzt t riv avtvw y.znv, vitoi kata Tnv ysruTnv zyj-iv, ut kai 
« \a roJueiof n KATA t 'aTApvTTATiV', ut kai o oEvTZ^pt xisroppvyi 1 ^. 
Ov (rvfiCA'ivcvi&, zttziJav Ztt rtAAnA*^ fj.zSrApyo^coy.z^A jit r koivov 
yd-'orfov ZlKW'oTAt TOVUf K/VH^nAZ']AI fj.iv ZTSTl'jA^ZIt « ^A\A<^ZIt 
nfli'Jovico' TCjS Ji T ilV AVTIIV, OV ZKATZpCf) TOVUV, JuVAfllV iX^V TK- 
TZS~t ^ fJZAVtt' aCKOKvS'tHTHO’IV ell TfJ A OlTCuy ATTAvluV <p§0")fiuV Z T3 IT A - 
CZtf » ^otAaiTC-if* ZVZKA TO AV^rtptiV Tit TSfOi T fiznv huytt, 7Vt AVI lit 
TUi'TSf’bf fJz'lACoKnt, KATA TO KOIVOV AfJCpOTZpUV TOVUV yZV&^Afl- 
CAVOfllinit. "£lt TZ fJMJl AV ZTZ&V hi J'o^Al TrJ hJti T TOVOV 
esf'oT ZPJV- ctAA’ vsroJuetov ttakiv, » T ciuTov \&roypvyiov, i^v<pujhi^ 
Ttvbt H CApvcpuv'oTZ&v fibvov. To p iv ’^uAo^oi' TZ kai dv\Ap'yzt TO' ^tJa 
tovuv, fiZ"xei tvtuv xnrojjjvTTu^u. Ptol. lib. ii. C. II. 
fyftem, 
