On the Nomenclature of Musical Intervals. 365 



will be seen, that the number of f 's found in the notation of the 

 several Numerals, are as follows, viz. 



1(0), 1(f), 2(f), n(2f), 3(3f), III(4f), ^(5f), IV(6f), 

 5(6f), V(/f), 6(80,. VI(9f), 7(10f), Vll(llf), 8(llf), 

 and VIJI(12f). 



Whence it appears, that f, 6f,ar.d 1 If, are each of them belong- 

 ing to the nota ion of two different Numerals, \ 'z. I and 2, IV and 

 5, and VII and 8, respectively; and either, or boSh of these nu- 

 merals may be used, in naming the Intervals, to which these 

 numbers of f 's respectively belong: — for examples, Mr. Liston's 

 Interval E* Gb, being equal 672 -f- f + 6m, is either I + 2g, or 

 2-f€; and may be calbd, either the Doable mlnor-comma- 

 excessive major First, or, the Minor-comma-excessi\e minor 

 Second.— Mr. L's Interval B'f, = 300S-f- 6f + 26m, is either 

 IV — 2, or 5 — c; and may cither be named, the Schisma-defective 

 major Fourth, or, the Comma-deficient iTi^nor Fifth; — and in 

 like manner, his Interval Dbc, =555S+ 1 If-f-lSm, is cither 

 VII, or 8 — g; and its name is either, the Major Seventh, or 

 the Minor-comma-defective rrinor Eighth, &c. 



In all the other number of f's, only one Numeral should, or 

 indeed can with propriety be used, in naming the Interval, to 

 which such number of f's belong. 



It will now be proper to consider the classification of the smaller 

 tabu'ar Intervals, whicii can, accor.".';ig to the principles of No- 

 menclature now under explanation, be used as above, as prefixes 

 to the Numerals, in naming Ev'iarmonic Intervals: these are t'in 

 in number, viz. E(I), y(9), e{\0\ c(Il), f.(12), £(21), 

 ^(31), /(32), A (43), /and E(53J: 



These ten Intervals being, without avy f in their notation, 

 they belong to a ])artici:!ar class of Intervals, a'l of whiclv might 

 have received the general name of Comma, if it had been prac- 

 ticable, to find a siiSlcient number of prefixes, ^br distinguishing 

 between these various Commas ; but this not being the case, 

 the expedient has been adopted, of diviling this class into Fa- 

 miTes, and calling five of the larger of these Intervals Diesis, 

 instead of Comma. 



Tims, we now have in the Tables, the enharmonic £(21), the 

 minor /3(31), the major /" (32), the greater a (-13), aiidtlie maxi- 

 mum E(53), as prefixes to the family term Diesis ; and whfth 

 eompounds, or even their doub'es, triples, &;c. mav themselves 

 also be made prefixes, to anv of tiie Numerals, when so required, 

 in the naming of particular Intervals. 



For an example, Mr.Liston's Interval D« Fb, = Sn2-f-f-f-Sm, 

 is either 2 -\- f, or I-f-2:; and may either be named, the Major- 

 diesis-excessive minor S'etowt/, or, the Double-enharmonic-diesis- 

 cxcessive major First; and so of others. 



As 



