370 Mr. A. J. Ellis. Tonometrical Observations on [Nov. :><. 



tone more. It is therefore the just minor Third, and it is written 

 between the notes that form it, thus : A 316 C. 



It is convenient for comparison with what follows, to have the fol- 

 lowing just intervals expressed in cents : 



In each scale I give the measured number of vibrations with, occa- 

 sionally, the millimetres in the vibrating lengths of string, the cents 

 in the interval from note to note, and the sum of those cents from the 

 lowest note to the note considered. From the latter, considering the 

 lowest note to be c in all cases, it is easy to deduce the name of the 

 nearest equally tempered note, and show how many cents must be 

 added to it or subtracted from it to give the note heard, by remem- 

 bering that 



It must be borne in mind that I give the actual intervals heard 

 from or measured on actual instruments, and that these, we may 

 safely say, never represent the intervals intended by the tuner, within 

 from 5 to 20 cents either way, on account of the extreme difficulty of 

 precise tuning, especially when the intervals are non-harmonic. 

 European ears are at present satisfied, on our theoretical equally 

 tempered scale, with Fifths too flat, and Fourths too sharp by 2 cte.. 

 with major Sevenths too sharp by 12 cts. ; major Thirds too sharp by 



