146 On the Slanhope Temperament. 



This expression of five columns, does alone prove to a 

 demonstration, that Mr. FAREy does not understand even 

 the first principles of my new mode of tuning inslrLiments 

 with fixed tones. For, in my Treatise on that subject (in 

 pages 7j 8, and 9), I express myself as follows : 



" There are four other wolves in the major thirds. 

 But, in order to explain this part of the subject, it will be 

 necessary first to show that there are four series of major 

 thirds which are 7inalterahly distinct from each other. Those 

 four series are shown, in four columns, in the following 

 TABLE OF SUCCESSIVE MAJOR THIRDS, where the four keys 

 C, G, D, A, are placed, in the lowest line, in the order of 

 occurrence as successive quints. The other keys are then 

 to be placed, as major thirds, in the regular order shown 

 in the table. 



*' By inspecting the above simple table, it will clearly 

 appear that the following series of major thirds, viz. C, E; — 

 E, G sharp, which is the same key as A flat ; — and A flat, C, 

 forms a column, in which those three successive major 

 thirds return in constant and regular succession, without 

 ever including in that series any of the nine major thirds. 

 So that, Nature has, as it were (if I may be allowed the 

 expression), imprisoned that series of three major thirds in 

 a column by itself. 



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