200 Oil (he Stanhope Temperaiyient 



which thev denominated a comma (No. 16 in Tabic II), 

 whose logaiiihni is '0053950 or 53950; and it has been 

 usual with modern authors, in considering the temperaments 

 of the musical scale, to express the deviations from the true 

 chords, or temperaments, in parts nf a comma', accordingly 

 we have Hifo- f"'" ^'""'S fraction, wliich is equivalent in small 

 numbers to -f^c nearly, or about one part in 21 less than a 

 comma: it remains to explain, that column 3, Tabic I, 

 contains the true or diatonic ratros of the conchords men- 

 tioned in the 4th column. 



I proceed now to make a few remarks, which occur in 

 turning over "the pages of his lordship's essay in your Ma- 

 gazine (which I request the reader to page with his pen from 

 291 to 312). The true value of the small interval called the 

 qubit wolf, deduced from experiment in page 293, and cal- 

 culated at the bottom of page 294, will be found in No. 13 

 of my Table II, where the result agrees with his lordship's j 

 but the difference of the terms of his ratio, in the last line, 

 should be expunged, as useless and calculated to mislead, as 

 before observed. 



In pages 295 and 296 his lordship speaks o^ four wolves 

 in the major thirds, whereas there is but one such ititerval, 

 which for distinction I have called the tierce wolf, and 

 shown its value in No. 14 of Table II ; where it must be 

 evident that this interval, Vill — 3 III, owing to the equa- 

 lity of all the octaves, whether taken above C, G, D, A, E, 

 or any other of the 12 notes, is always of the same value, 

 and is no more the C wolf than that of any other letter in 

 the gamut; what could have induced his lordship to limit 

 his inquiries respecting the major thirds in his essay, to the 

 five columns in pages 295 and 310, is to me a mystery. 



What is said in the two last paragraphs of page 297, and 

 continued in the next page, also at the bottom of page 299, 

 respecting the proper object of temperament, on account of 

 five wolves being assumed in the quints and tierces, without 

 noticing those in the sixiemes, appears to me unsatisfactory. 



The remarks at the top of page 299 apply equally against 

 tempered consonances in any system whatever, as they do 

 against the isotonic or equal temperament. The exact value 



o 



