his Principles for Tuning Instruments, &c. 293 



octave length is 120*00, " shows the value" of the tierce 



144 

 wolf; in order to show, that r^^? instead of expressing 



anjnterval called the enharmonic diesis (21 2 + 2 m) as it 

 ought to do, represents an interval exceeding 6 octaves by a 

 superfluous third (3905 2 + 77 f -f- 338 m) ! 



III. — Five columns certainly appeared to my eyes, when 

 I was commenting on the Stereotype pages 7 and 22, there- 

 fore, unluckily it should seem, I mentioned Jive; but have I 

 anywhere said or insinuated, that His Lordship therefore 

 intended to representee wolves, besides that produced by 

 the quints ? And I could not myself have intended to re- 

 present five such wolves, when his Lordship is severe upon 

 me for saying there are but two in all. His Lordship's sar- 

 casms, about dividing 1 2 into 5 aliquot parts, might there- 

 fore have been spared. 



IV. — My arguments for the exact equality of all His 

 Lordship's four tierce wolves, (at page 200, vol. xxvii.) re- 

 tain their force, and are not invalidated by what His Lord- 

 ship has advanced at page 149, vol. xxviii. ; where, fortu- 

 nately, His Lordship has let us into the secret of his blun- 

 ders in this respect, by the mention of " monochord lengths," 

 showing, that when His Lordship argues for as complete a 

 distinction between his tierce wolves, as to magnitudes, as 

 between half-guineas, half-crowns, sixpences, and half- 

 pence, he had no better ground than their different lengths 

 on the monochord ; forgetting what T had endeavoured to 

 impress on him, under the second head above, as to the 

 fallacy of these lengths as a test of the magnitudes of inter- 

 vals. Gould not His Lordship as easily " distribute" or di- 

 vide the same interval in four different ways in his C G D 

 and A columns, as he can so distribute four different inter- 

 vals? unless he confines his idea of equality, to mono- 

 chord lengths, as then of course, they would only fit where 

 the octave and thirds are also of the proper proportionate 

 lengths ! Absurdities, to which His Lordship surely could 

 not have turned his attention. 



V. — I did think it possible, when writing my observa- 

 tions page 201 to 203, vol. xxvii., that slips of His Lord- 



T4 ship' 



