Intervals. 



For the advantage at baring 

 rmy note to the ocure, 306 i 



in tli- Table /',- complement at 

 i twke moled ; bat in reality 



I divisions are made and arranged, according to 

 the number of grave and acute marks in the signatures 

 of the interval.*, in the first column ; the graves, de- 

 creasing in number, through the several divisions, from 

 6 to 0, and the acute*, increasing in number, through 

 .them, from 1 to 6. 



In each division of the Table, the tfiarpt, in the first 

 column, are first placed, in a decreasing series, to 

 sharp (or flat) ; and the Jlait follow, in an increasing 

 series, from 1. The numbers in the squares of the 

 Table, are artificial comma), of Farey, each one of 

 these answering to the literal at the top of its column, 

 with the ligriature annexed, which is set at the begin* 

 ning of its line. 



i, the first note in the Table, is to be read, F 

 six times acuted, containing 320 artificial commas, or 

 schisoias, and wrote thun, F- 6 , or 320E : The first 

 note of the seventh division, is to be read, F five times 

 sharpened, and marked Fjfc*, or 4<i7 : The last note 

 in the Table is to be read, E six times graved and once 

 flattened, and marked E**t>, or 951, tec. 



On examining the nnnbrri of artiKci.il commas in 

 each horizontal line of the Table, the- <!:/!< rrncrs of each 

 adjunct note tlicn-in, proceeding from left to right, will 

 be found to l>e, either +S5ft, (answering to V, = S58Z 

 + 7f+Slni)or, 254; (V VIIJ, = *, = 2542 



5 f 22 in ) ; except, that in rarer number of in- 

 stances, this difference will be found, either -f. 347 



M7I + 7 f + 30m), or, 265 ( V, = 

 2661 5 f 23m). 



In like manner, on examining the difference! in the 

 vertical columns of each division, from the top down- 

 wards, it will be found, that there arc, alternately, either 



47 (answering to 8, = 47s f 4m), but 

 where the addition of an octave (VIII, = 612Z + 12 f 

 + 53 m) becomes necessary ; or, 36, ( cf, =s S6z 



f 3 m) ; so that the difference between every alter- 

 nate number, in, 83 ( 8 d, = 83Z 2f 7m), 

 or, an octave different from this ; except, that in the C 

 column alone, in that line of each division where no 

 iharp or Hat occurs in the signature, these diflert*cct 



VOL. xy. PART. i. 



The note* marked Una an tbow in Mr. LiMoo'i EMV. 



