278 Mr. K. H. M. Bosanquet on the History of the 



Errata (continued). 



Pogg. Ann. vol. clvii. 



Page 

 216, line 6, 



mit den Stosstonen zusam- 

 menfallen, und sich also bei 

 die sen nicht nachweisen 

 lassen 



216 ; line 11/ 



225, last line of table, 

 for E 

 read C 



232, 



beiin Zusammenklano-e zwar 

 periodisch an Intensitat zu- 

 und abnehmende Schwing- 



ungen von nahe zu — j— 



Pl±il. Mag. fifth series, vol. i. 



Page 



511, line 13, 



for they coincide with the ori- 

 ginal note, and therefore 

 cannot be proved by it. 

 read they coincide with the 

 beat-notes, and therefore 

 cannot be demonstrated 

 beside the latter. _ 



511, line 17, 



for m'=m 

 read The beat-note = m 

 and for m'=n— m - 



read The beat-note = n — m 



517, last line, 



522, line 21, 



for periodically exhibit when 

 sounded together an in- 

 crease and decrease of vi- 

 brations of about —t- 

 z 



read when sounded together 

 give rise to vibrations of 



frequency about a -^-, which - 



periodically increase and 

 decrease in intensity. 



The experimental results of Konig are very completely- 

 stated. So far as they affect the questions in dispute they 

 may be shortly put as follows: — 



When any consonance formed by notes having the relation 

 of harmonic and fundamental is mistuned, beats occur. 



All such beats* may be regarded as forming beat-notes of 

 corresponding frequency, which become audible when their 

 number and the intensity of the primaries are sufficient. 



Two such beat-notes, when nearly forming unison, octave, 

 or twelfth, produce with each other secondary beats. These 

 in turn may be regarded as forming secondary beat-notes. 



Difference- and summation-notes are regarded as indepen- 

 dent of the beat-notes, and as being much weaker. 



Beat-notes are regarded as not susceptible of explanation 



* I keep the experimental results clear from Konig's hypothesis as to 

 their cause. 



