182 *f IFIiether Music Is necessary to the Orator ^-^ 



TABLE OF ANALYSIS. 

 ^ Base, for convenience, counted as 12. 



Mode of Creation, 



Originals 

 Fourth 



9, i. e. 



string. 



Now 



Operation. 



olTe = '«}M-^- 

 In ratio as 1 to 2. 



Fifth = 8 or % 

 Base = 12 ^ 

 X by Octave = 6 



-by 4th = 9)72 (8 Now 



6th Minor = Jj or |- 



Octave = e"] ,, -7 1 XT 

 Fourth = 9/ ^^^^" 7i. Now 

 Ratio 2 to 3. 



Order on Scale as created. 



3 ~« 



12 



12 



an 10. Now 



12 



12 



70 •*• 



12 



10 



94 



3d Minor = 10 or f 



Base = 12\., 



Fifth = 8/^"'' 

 Ratio 2 to 3. 



3d Major = 9| or a 

 Base =12 

 X by Octave = 6 | 



-Hby 6th Minor = 7i) 72'(9|-. Now 12 



6th Major = 7-i or ?• \ \ 



Base = 12 

 X by Octave = 6 

 -^bySd Minor =10) 72"(7i. Now 12! 



4th Major = Sf or f 

 Base = 12 

 X by Octave = 6 

 -^by a new mean*=8|- )72( 8^. 



Now 12 10|9|-' 9|8a 



This mi'an 8?, which is not on our scale 

 as an iuterval, is constitU'ed by 



3d l\laior= 9n,. „, 

 and 6th Major = 71/^"^"^' 



Ratio as 3 to 4. 



10 



94 



S7i 



71 



874 



71 



n 



*,» The linked numbers alone are employed for the creation of means, 



