a Paper by Dr. Sondhauss. 



217 



by the method of blowing. The difference, amounting in (VIII.) 

 and (B) to half a semitone, is far greater than any error to be 

 feared in the measurement of pitch or of the dimensions of the 

 vessel, and ought therefore to give a sufficient handle to decide 

 between the formula?, if proper attention is given to the choice 

 of a suitable resonator. In the foregoing remarks I have natu- 

 rally dwelt most on my differences with Dr. Sondhauss ; but I 

 should be sorry to have it supposed that I write in a hostile 

 spirit, or do not recognize the claims of one to whom the science 

 of acoustics is so largely indebted. 



Terling Place, Witham, 

 August 12, 1870. 



Postscript, August 19. 



I have since calculated the results of the experiments of 

 Wertheim on pipes open at both ends, and find that in this case 



also the rational formula (w=— ■ — -J agrees best with 



(» + ;p) 



the observations : — 





L. 



D. 



n, observed 



n, calculated 



n, calculated 



a. 



by Wertheim. 



by Sondhauss. 



by myself. 



3371 



785 



80 



2020 



1976 



203-4 



3395 



500 





306-9 



2996 



301-5 



3413 



355 





418-3 



4063 



408-4 



3371 



280 



... 



5120 



490-4 



491-7 



3418 



157 





836-6 



789-2 



777-3 



3413 



1000 



60 



164-3 



162 2 



163 



3418 



640 



... 



2510 



2473 



248-8 





340 



... 



450-7 



438-8 



441-5 



3413 



1000 



48 



165-6 



163-8 



164-5 



3427 



350 



... 



452-3 



439-1 



4420 



3413 



1000 



25 



1675 



1670 



167-4 







20 



168-2 



167-7 



1680 







11 



1691 



1690 



169-2 



, 





5 



1700 



169-3 



1699 



3390 



906 



30 



182-5 



181-8 



182 3 





307 



21 



5267 



521 2 



5240 





541-5 



20 



306-2 



303 2 



304-3 





392 





419-6 



4131 



415-7 





676 



38 



240-6 



2391 



2401 





343 





458-8 



451-8 



454-6 



Phil. Mag. S.4. Vol. 40. No. 206. Sept. 1870. 



Q 



