Part IX.

(a) Luert.
joyntly of two Tetrachoids, or disjoyntly of two Tetraciiords, leparated from one another by a tone, the proceffion will begin from the low- elt, lb that every fifth found will make Diapen- te, the h-emitone palling into four places, the firlt, thefecond, the'third, and thefourth.
CHAP. VI.
The Canon of the Monochord. (’
Canon of one Chords that is the rule of (b) De Mufica, the Monochord. {b ) Arijiides relates, that a 3* little beforejoe dyedy he exhorted his friends to play
on the Monochord., thereby itrpfing^ that the heighth which is in Mufick, is to be received rather by the Intelleii through numbers., thanbythefenfe through the, ears^
CO ViuFjith. Duris ( cited by (c) Forphyrius) mentions a brazen Tablet, fee up in the Temple of Juno, hy Art mnefm Con to Pythagoras, on which were graven, belides other arts, a Mufical Canon j which was afterwards taken away by Simon a Mufician,. who arrogated . the Canon to himfelf, andpubliilaed'itas hisown.
; (d)The,divifonofthe Canon, fAth Theon, is made by the TetraUys in the Tecad, which conffs of h Monad, ' aDuad, aTriad, a Tetrad, 1,2,3, 4' For it comprehends a SeJ^uitcrtia,a Sefquialtera, a Duple, aTriple,anda ^ladruple prof onion. The Seftion of the Pythagorical Canon, ' according to the intention ^Pythagoras himfelf not cu Eraflofl- henes mifunderflood it, orfFhrafyllus^ fwhofe ope¬ ration Theon fetsdown] but as Timxns the Locre- on ( whom Plato aljo followeth ) to 27. (/) AV- comachus mentions, as intending to deliver it in (^)Sea.Canon. his larger T i eatife of Mufick. See alfb {fjEuclid, *^^nV**^* Qd) Arif ides, ^intilianus, and others.
(J) Mathcmat.
(f) Manual. Muftc. lib. I. p. 24
CHAP. VII.
Injiitution by Mufick.
CaJJamh.y\x:.(aryr^Qn(:mmng, that the firft inftitution . of
P)th. cap. 15. to be made by fenfe, fo that
a man might lee thofe fair figures and forms,, and might hear the molt excellent Mufick, he' firft began by teaching Mufick by Songs and Rythms, by which the cures of manners and paf- fions were made, and by which the harmonies of the faculties of their fouls were reduced to, their primitive difpofitions j and cures of di- ilempers both of body and mind were invented by him. And that which was above all thefe, worthy to be taken notice of, that he made for his difciples thofe which were called and i7ra.(fax, f of Mufick3 both by weight and by found, and compofed them harmonically, in a ftrangeway making the commixtures of thole tones which are called Diatonick, Ghromatick, and Enarmonick, by which he changed all the pillions of the mind, which were newly raifed in them without reafon, and which did procure griefs, and angers, and pities, and unfeemly loves, and fears, and all kind of defires, and vexations, and appetites, and foftneffes, and idleneffes.
and impetuofities, correfling and direfling every one of thefe towards virtue, by convenient har¬ monies, as by certain effeflual medicines. And at night when his difciples went to flecp, he de¬ livered them from all the noifes and troubles of the day, and purified the perturbations of their minds, and rendred their fleeps quiet, with good dreams and predictions. And when they rofe again from their beds, he freed them from the droufinels of the night, from faintnefs and llug- gilhnefs, by certain proper Songs, either fet to the Lute, or feme high Voice. As for himfelf, he never played on Inftrument, or any thing, but he had it within h\m ^ and by an unconcei¬ vable kind of divinity, he applied his ears and mind unto thh harmony of the world, which he alone did underftandi and underftanding the univerfal harmony and concent of the Spheres, and thofe Stars that move in them, which makes a more full and excellent mufick than mortals by realbn of their motion, which of unequal differ¬ ing fwiftneffes and bigneffes overtaking one ano¬ ther, all which are ordered and difpofed in a moft mufical proportion one towards another, beautified with various perfeflions, wherewith being irrigated, as having likewife orderly the difeourfe of his mind, as we may lay exercifing, he framed feme reprefentations of thefe, to ex¬ hibit them as much as was poffible, imitating (that Mufick} chiefly by Inftruments, or the Voice alone, for he conceived that to himfelf only of all upo^ the earth, were intelligible and audible, the univerfal founds, from the na¬ tural fountain and root, and thought himfelf worthy to be taught and to learn, and to be affi- amilated by defire and imitation to the celeftials, one that was organized fin the parts of the body 2 by the deity which begot him. But it was fufficient for other men, that they, always looking upon him, and fuch things as they recei¬ ved from him, b,e benefited by images and ex¬ amples, as not being able to lay hold on the firft clear archetypes of all things: As to them, who cannot look upon the Sun, % realbn of its fplen- dor, we fhow the Eclipfe either in a pond of water, or by feme beared pitched thing, or by feme dark-epfeured glafs, fearing the weaknels of their eyes, and framing another way of per- pption, infcad, of looking on it, to thofe who love fuch things, tho’ femething inferior. This Empedocles feemeth to imply concerning his ex¬ traordinary and divine conftitution above others, when he laid,:
’ Mo ngji thefe veas one in things fublmefi skilPf His mind with all the wealth of learning JUFd, He fought whatever Sages did invent •,
And v^ilfi his thoughts were on this work intent. All things that are, he eafily furvefd.
And fearch through ten or twenty ages made.
Intimating by fublimefi things ; and. He furvefd all things that are \ and. The wealth of the mind, and the like, the exquifite and acurate conftitu¬ tion of beyond others, both for body
and mind, in feeing, hearing, and underftand¬ ing.
CHAP.
PTTHJGORAS.
3S9