and his extended Listonian Tuning Table. 415 



Gas whose sound is a half-note more grave, than the sound of 

 this standard Air. 



It so happens, through the peculiar progressions in which the 

 numbers of the three ranges expressing S, f and m, increase 

 each way, from against the Standard Air, thnt for every pur- 

 pose of comparison, and for almost the nicest purposes of calcu- 

 lation, the two latter ranges may be disregarded, and the num- 

 bers (and their decimals) in the ^' range, may be considered as 

 artificial Commas, exactly 612 of which make up an Octave. 

 It will be perceived, that only one Gas at the top of the Table, 

 exceeds in acuteness by an Octave, the Standard Sound of com- 

 mon Air, and only two at its bottom, exceed it in graveness by 

 an Octave. 



Four years ago, when I first extended Mr. Liston's tuning 

 process, by means of perfect Fifths, Thirds and Octaves, only, 

 so as to produce 612 different Notes within the Octave, the ob- 

 ject which I had in view, was, so to regulate the extension of 

 my enlarged Tuning Table (which I have described in p. 444 of 

 your 49lh volume) in different directions, as to obtain the most 

 simple Literal Expressions for the several Notes, near to the bor- 

 ders of the Table (p. 446 Note) ; that is, that the least number of 

 #s or of bs, and of 's, or 's, should appear, affixed to the original 

 or simple Literals C, D, E, F, G, A and B : and it was not until 

 some time after your 49th volume was completed, that I was 

 sufficiently struck, with the derangements of the Series formed by 

 the numbers of fs and the numbers of ms, in this my first ex- 

 tended Tuning Table. 



Since then, I have, on further considering the subject, con- 

 structed such an enlarged Tuning Table, as produces 612 Notes 

 in the Octave, such, that in each of the threeColumns, headed X, 

 f and m, an increasing series of numhers appears, without any 

 exceptions : by which Table, such a close connexion is esta- 

 blished, between my Notation of Intervals, and the most perfect 

 (or common) Chord, K, III, V, VIII, and with the only correct 

 mode of Tuning, (invented by Mr. Liston), as cannot ultimately 

 fail, of causing its universal adoption by musical Writers, and bv 

 the Teachers, of the principles of the musical Scale : however 

 the present race of Writers and Teachers may continue to act 

 respecting it. 



The numbers of f and of m, in the last colunm of the Table 

 in p. 413, are conformable to my last Tuning Table above men- 

 tioned: and which Table, it is my intention to publish at no very 

 distant day. I am 



Your obedient servant, 

 27, Howlanrl-strec-t, Fitzroy-squure, JoHN FaREY Sen, 



Pet. 27, mi). 



I.XVin. On 



