O'Reilly and d'Albe — On a Pandean Pipe. 



515 



Table II. 





II. 



III. 



IV. 



V. 



VI. 



VII. VIII. 



IX. 



X. 



XI. 



XII. 



XIII. 



XIV. 



XV. 



I. 



II. 



III. 



IV. 



V. 



VI. 



VII., 



VIII. 



IX. 



X. 



XI. 



XII. 



XIII. 



XIV. 



XV. 



6/5 



4th 

 9/10 



5th 



oth 

 4th 



3rd 



5th 

 3rd 

 6/5 



7th 

 4th 



1/2 

 6th 



4th 

 3rd 



8th? 

 7th 

 5th 

 7/5 

 2nd 



.. 8th 

 5th 9/5 

 3rd 5th 



6/5 



7th 



5th 

 3rd 



8th 

 6th 



7/5 

 2nd 



Hence there are four 4tlis, seven Stlis, five 3rds, two 2nds, three 

 7ths, two 6ths, and three octaves ; but the last are impure, and some 

 of the others cannot be regarded as pure intervals. 



There are five notes in each of the octaves, and the rough sequence 

 appears to be as follows : — C, D sharp, F sharp, A. This sequence, 

 if consistently carried out, would divide the octave into four equal 

 parts of 3 semitones each. 



