416 On the Slanlmpe and othxr Temperaments 



proceedings I did expect (when I left Town in August last) 

 would qu-ic'kly appear to the public, from the proof of the 

 first Gheet of a printed Narrative of transactions, between 

 certain persons relative to the Stanhope Temperament, which 

 was shown to me at the Institution ; and as this " Narra- 

 tive" promised to throw some additional light upon the Let- 

 ter to the Duke of Cumberland, relating to me, (vol. xxviii. 

 p. 143,) I abstained from replying thereto before I went 

 out of Town. Since my return, which was but a short 

 time before Christmas, I have not been able to learn any- 

 thing concerning the progress of the ^' Narrative," but hear, 

 that the public may very shortly expect some further remarks 

 from his Loi'dship on his Temperament, and which it were 

 njuch to be wished (for the interests of science) that his 

 Lordship would commualcate through the medium of your 

 Magazine. On these accounts, I shall further defer my ob- 

 servations on his Lordship's Letter, and on the merits or 

 defects of his system, since the appeal to mathematical 

 writings and truths which I meditate, may perhaps apply 

 at once to the whole of his Lordship's case, if he really has 

 anything further to advance, and save me and your readers 

 nnich trouble: in the mean time, as a great part of his 

 Lordship's Plain Statement is made to turn on a comparison 

 of his system with three others, viz. the Isotonic or equal 

 temperament, M. Prinz's system, and that of M. Kirn- 

 lergcr, I beg to present your readers with the notes of these 

 three systems, expressed in the small intervals S, f and m, 

 as has been done for his Lordship's system, in my table, 

 vol. xxviii. p. Idl, column G. 



A Table 



