S I X 



S I X 



part of ths creek is in the north-eaft part of Tioga county, 

 where it furnirties excellent mill-feats. Its courfe is feven- 

 teen miles. 



Six-mile Crofs, a fair-town of the county of Tyrone, 

 Ireland, where there is a church. It is 7 miles S.E. from 

 Omagh. 



Six-mile Water, a river of the county of Antrim, 

 Ireland, which rifes in Agnew's hill, near Larne, and run- 

 ning fouth-weft, falls into Lough Necgh, below the town 

 of Antrim. The valley of this river, containing feveral 

 villages, is a fine fpecimen of the beauty and cultivation of 

 the county, to which the frequent white-thorn hedges con- 

 tribute not a little ; fhewing, as the plains about Antrim 

 are approached, the increafing richnefs of the foil, by their 

 fuperior fi/.e and vigour. Dubourdieu's Antrim. 



SIX-NATIONS, a confederacy of American Indians, 

 fo called by the Britifh and Americans, and by the French 

 Iroquois. They are Mohawks, Oneidas, Onordagas, Se- 

 necas, Cayuga?, and Tufcaroras. In the American war 

 they took part with Great Britain, and in 1770 they were 

 totally defeated by the troops of Congrefs. Many of them 

 have removed to Canada ; ^nd in 1796 they amounted to 

 40J8 pcrfoiis. In this year a fociety of Friends or Quakers 

 raifed a fund, towards promoting the civilization and com- 

 forts of thefe poor people. 



SIXT, a town of France, in the department of the Ille 

 and Vilaine ; 6 miles N. of Redon. 



SIXTH, Sesta, Ital., Sixte, Fr., in Mtifc, the fecond 

 of the two imperfeft concords, called by the Greeks Hexa- 

 chordon, becaufe its interval is formed of fix founds, or 

 five diatonic degrees. The fixth in only a natural con- 

 fonance by combination ; for in the order of concords there 

 is no fimple and direft fixth. 



To confider fixths by their intervals, there are four dif- 

 ferent forts ; two confonant, and two dillonant. The con- 

 fonant are, firil, the minor lixth, compofcd of three tones, 

 and two major femitones ; as EC: its ratio is 5 to 8. 

 Secondly, the major fixth, compofed of four tones, and a 

 femitone major; a? G E ; its ratio is 3 to j. 



The difi'onant fixths are the extreme flat, and the extreme 

 (harp fixths; as B b 2nd G*, called by the French the 

 fuperfluous fixth ; and C* and A [j- Neither of thefe in- 

 tervals can be ufed in melody, and only the firll in har- 

 mony. 



Dr. Pepufch has given eight examples of the allowable 

 life of the fixth in two parts ; and Rouileau has given a lill 

 of feven chords, in which fixths are employed. Thefe arc, 

 firft, the fimple chord of the fixth to the third of a key, 

 when that third is th" fuppofed bafe, iiiltead of its funda- 

 mental. This kind of chord, which ii the common chord to 

 the third below the bafe, may be given likewife to the ie- 

 cond and the (liarp fevcnth of a key. The fecond uie of 

 the fixth is with the fourth, which is ilill a perfeft concord 

 to the fifth below the bafe. The third ufe of the fixth is 



in the chord of the ■, which is the chord of the feventh to 



the fifth below the bafe, with a (harp third. Tiie fourth ufe 

 »f the fixth is in the chord or harmony of the '^, wliich is the 

 chord of the feventh to the minor third below the bafe. 

 This haimony is ufually given to the fourth of a key. 



The fifth life of the fixth is in what Ramcau calls h double 

 emploi, or double ufe of the " ; when either of thefe intervals 

 may be regarded ac the difcord. If the fifth is made a dif- 

 cord by the fixth, it mud be refolvcd by defcending on a 

 concord ; but if, as before a clofe, the fixth is regarded at 



Vol. XXXIII. 



the difcord, it mufl be refolved by afcending to another fixth, 

 while the fifth remains for a fourth to the next bafe. See 

 DouRLE Emploi, and Resolution. 



The fixth ufe of the fixth is that of the major fixth and 

 falfe fifth, which is the chord of the extreme flat feventh to 

 the fecond of a minor key, in which the falfe fifth is taken, 

 inltead of the fourth. 



Ladly, the feventh ufe of the fixth is in the chord of the 

 extreme (harp fixth, ufed only to the fixth of a minor key ; 

 as D* to F ^, when the bafe defccnds to E, the fifth ot 

 the key, with a Iharp third. This is an original chord, 

 which cannot be inverted. All thefe chords will be given 

 in notation on the mufic plates, in the rules for accom- 

 paniment, or thorough-bafe. The major fixth is nine 

 femitones or half notes above the bafe ; the minor fixth, 

 eight. 



The fixtlis major and minor, being inverfions of the thirds 

 in compofition and accompaniment, may, in two parts, move 

 in fucceflion upwards and downwards at pleafure. It has, 

 in a regular defcent, a folemn and melancholy effeft, more 

 pleafing than in a regular afcent. In compofition and ac- 

 companiment, this concord is accompanied by the ", or by 

 its octave and a third, or by two thirds. In thorough-bafe, 

 doubling the fixth or third, when the movement is not very 

 rapid, enriches the chord and the harmony more than the 

 eighth. 



Sixth, in the Military Art. See Sixain- 

 Sixth Pair of Nerves. See Nerve. 



Sixth Rates. See Rate. 



SIXTUS I., pope, in Biography, was by birth a Roman, 

 and fucceeded Alexander I. about the year 1 19. Very lit- 

 tle is known concerning him ; and though there are two de- 

 cretals afcribed to him, they are generally regarded as for- 

 geries. He died in the year 128, and has been ranked 

 among the martyrs by the church of Rome, though it is 

 not at all afcertained that he aftually ended his hfe by 

 martyrdom. 



SiXTUs II., pope, was a deacon of the Roman church 

 at the time he was elected to the pontificate, in the year 

 257, or, according to fome authors, in 260. At the requeft 

 of Dionyfiiis, bilhop of Alexandria, he put an end to a 

 difpiite commenced between his prcdccenVir, Stephen, and 

 St. Cyprian, concerning baptifm adminiltcred by heretics. 

 A perlecution was at this time raging againil the Chriftiani ' 

 in confequence of a refcript of the emperor Valerian, di- 

 refting that fearch fhould be made for all blfhops, priells, 

 and deacons, in order to be put to death. Sixtus was one of 

 the firll viftims, being beheaded after he had occupied the 

 papal chair almoll a year. 



SixTus III., pope, a Roman, was long regarded as ope 

 of the principal ornaments of the church ot Rome. In 

 418 he was a favourer and proteftor of the Pelagians ; but 

 when their opinions were condemned by Zolimus, he was one 

 of the firft who pronounced an anathema .igainil them, and 

 made a public declaration of his orthodoxy. He was railed 

 to the pontifical throne in 432, on the dctth of Celellinc. 

 It was about this period that the Eallern churches wcro- 

 dividcd concerning the condemnation of Nellorius ; Cyril, 

 with the Egyptian bifliops, maintaining the jullice of that 

 aft ; while Johnof Antioch, and other Oriental bilhops, re- 

 fuled to concur in it. By the exertions of Sixtus the par- 

 ties were reconciled. The Illyrian bilhops made an attempt 

 in the pontificate of Sixtus to free themfelves from the papal 

 jurifdiftion, but they were induced by his h'tters to renounce 

 their purpofe. The munificence of this pontiff was dif- 

 pkycd in various repairs and rich decorations of churches i» 

 M Rome, 



