376 BcientifiG Proceedings, JRoyal Dublin Bocieiy. 



Figure 4 gives a table of the chords similarly produced by 

 accidental sharps. In this table the intersection of two lines in- 

 dicates where the sharp occurs, and in some of the squares a 

 (Second symbol is suggested as more convenient to write than the 

 first. This is not found in practice to diminish the significance 

 of the symbol, as the student associates in his mind the two forms 

 after he has written them out a few times. The symbols with 

 three lines are used to signify that the first, third, and fifth of 

 the parent chord are all sharpened. These symbols are only 

 added to give completeness to the table, but are scarcely required 

 in practice. 



Fig. 4. 

 Table of chords pi'oduced by accidental sharps. 



In fact, many of the chords in both tables do not occur in the 

 transitions used by composers, and are only inserted to give 

 completeness to the tables. Those most in use are distinguished 

 by an asterisk, and with them the student soon becomes familiar. 

 It should be stated that in the last column, that headed " Aug- 



