9« THE NATURE OF MUSIC 



Three marks succinctly symbolize the mode-idea as 

 follows : — 



In the above order these marks signify rising ca- 

 dence, falling cadence, repose. Join these marks and 

 we form a simple sign for the Major mode, thus : — 



The Major Tonic and its cadences are the five origi- 

 nal cadences of music. They are given below where 

 each tone is numbered according to its genus-relsition. 



I 3 

 o)3 1515 3, 395 6) 3 1 



ti do re do re mi fa mi la sol 



:|^ 



In a) the cadences are single, in b) they are com- 

 bined in chords. Ti resolves in an upward half step, 

 fa in a downward half step : I therefore name ti the 

 upleader, fa the downleader. Of the original four 

 cadence-tones re is the only one that reports both a 

 rising and a falling cadence ; in both of its cadences re 

 resolves in a whole step. La reports its falling cadence 

 by resolving in a downward whole step. Of these 

 five original cadences two are rising, three are falling, 

 two resolve in half steps, three in whole steps. 



Although we may be able to hear these whole and 



