On the Slanhopc Temperamejit. J 4i> 



lumn, and in the A column respectively. This is accurate 

 language. Rut, because the four wolves in the major 

 thirds, are similau to each other; Mr. Farhv seems dis- 

 pleased that 1 do not consider them as one. 



A half-guinea, a half-crown, a six-pence, and a half- 

 penny, bear, us moieties, the same proportion and relation, 

 to the guinea, the crown, the shilling, and the penny -piece, 

 respectively. Yet, those four first mentioned coins, al- 

 though similar as halves, are not at all equal', though, ac- 

 cording to Mr. Farev's mode of reasoning, they ought all 

 FOUR to be considered as exactly one and the SAl^:E. 



In like manner, so little are those four wolves the same, 

 that. they cannot exist even in the same column. They 

 never can interchange places. Nature has (as it wt-rc) for- 

 bid ihem to meet, in the same series; and they cannot be 

 substituted for each other. For, the G wolf, for example, 

 in monochord lengths, is as much smaller than the C wolf, 

 as the G itself is smaller than the C. 



In my new Temperament, I moreover duide those four 

 wolves differently. For, in the C and G columns, I distri- 

 bute them in one way; as appears by my musical memoran' 

 dinn table, in page 22. But in the D colum.n I distril)uter 

 them in a second way; and in the A column I distribute 

 them m a tfiird u'ay, which is different from either of tlie 

 former. And I should like to ask Mr. Fauey uhaf a 

 strange sort of tuning it would be, if I were to consider 

 those FOUR distinct wolves as one only, and therefore to 

 distribute them alike!!! 



* A very radical dei'ect,' (says Mr. Farev,) in the appli- 

 cation of the Stanhope Temperament to practice, as dircclul 

 by his Lordship, now presents itself in tlie mistake made in 

 supposing that equal temperaments of two successive thirds, 

 ,or of three successive Ji/ths, effected bv means oi' geometric 

 mean proportionals interposed between the extremes in each 

 case, and on which all his Lordship's calculations are lound 

 to be grounded (and to agree very exactly wiih my calci.ila- 

 tions upon the same principles), produce " cqiiaUty of the 

 beatings," by which, says bis Lordship, " equal duviatiuns 

 from perfection" may be correctly ascertained.' 



K 3 Mr. 



