364 On the Numenclalure of Musical Intervals. 



and ir, are to be read thus, viz. the grave major First, and grave 

 major Seco7i^ respectively, and so of 3', II T, 4\&c. In like man- 

 ner, the aaile accent indicates, the addition or rise of c( 1 I ) ; and 

 r, r, 2', ir, 3', &c. are to be read thus, viz. acute minor First 

 (or acute Unison), acute major First, acute minor Second, &c. 



The sixteen numerals, viz. 1(0), 1(47), 2(57), 11(104), 

 3(161), 111(197), 4(254), IV(301), 5(31 1), V(35S), 6(415), 

 VI(451), 7(508), VII(555), 8(565), and VIII(612); or minor 

 First, majo; First, minor Second, &c. (containing 0, 47, 57, &c. 

 2's or artificial Commas, respectively), are made the Basis of the 

 Nomenclature of Intervals within one Octave, which I am now 

 about to describs, in every ])racticable case: and the deviations, 

 in any cases, from one or other of these Numerals, by Intervals 

 falling between them, in point of magnitude, are expressed, by 

 the name of the interval of deviation, used as a prefix. 



Thus numeral Intervals, lessened by a major Comma c(l 1), 

 are either called " Grave" Intervals, as already explained, or 

 "Comma-deacient" Intervals; and intervals increased by the 

 same Comma, a.-e either called " Acute," or " Comma-redun- 

 dant" Intervals ; the words dejicient and redundant being thus 

 only used with, or as prefixes to, the major Comma ; and defec- 

 tive and excessive being used, with any other interval of Devia- 

 tion from the Numerals; except in such cases where 5^(36), or 

 the Semitone minor, be the deviation, when the words dimi- 

 nished or super ft II oil s are used in their prefixes ; and these last, 

 are also, but with less precision, called Flat (b), or Sharp («) In- 

 tervals; because, as I have shown in p. 375 of your xxxixth 

 volume, the latter terms and marks, instead of always denoting 

 a fall or a rise of r(36) as in tlte above cases; in a less number 

 of instances, they denote the fall or the rise of 1 (47), respectivelyj 

 on which account, the single b or single *, are unfitted for a 

 correct Nomcnclalnre of Interva' "i ; although the double Flat (bb), 

 or double Sharp (** or »J<), Lorn liaViUg always the same value 

 (viz. r + I), may be so admitted, and marked >J< (83), as in my 

 supplementary Table, page 3G0. 



In page 8 of your xxxth volume I pointed out, that the num- 

 ber of f 's in the new Notation for any Interval, usually indicates, 

 the number of equal half Nucesor firger-key Intervals, 12 in the 

 Octave, or isoiouic Semitones (51), to which such Interval 

 nearest approaches; but aUhoi.,';,h ^ here are 12 Isotonic Notes, 

 as well as 12 f 's in an Octave, y vt the number of Numerals is 16 

 in the Octave, as above shown ; and therefore, for inferring the 

 Numeral from the number of f 's in the new notation for any given 

 Interval, in order to name it, other considerations are necessary, 

 which I will now proceed to explain. 



By a reference to my engraved and supplementary Tables it 



will 



