46 UNIVERSITY OF MISSOURI STUDIES 



since from A to B the stirrup has moved through thirty units 

 of space inwards. At C we find the twenty-four initial sections 

 raised again since the stirrup has moved outward through 

 twenty-four spaces. At D the eleven initial sections of the par- 

 tition are at their lower limits since from C to D the stirrup has 

 moved through eleven spaces in an inward direction. From D 

 to E the stirrup moves outwards through three spaces. Ac- 

 cordingly we find at E the first three sections of the partition 

 raised to their upper limits. From E to F the stirrup moves 

 inwards through eleven spaces. Accordingly eleven sections of 

 the partition must be pushed down to their lower limits. We 

 find the first three down at F. The following sections up to 

 the twelfth were already down at E.. In order to represent 

 eleven sections of the partition as just pushed down we have 

 to place at F the twelfth and the following, including the nine- 

 teenth, sections of the partition at their lower limits. Then the 

 first three and the latter eight make up the total number of 

 eleven sections pushed down. From F to G the stirrup moves 

 outwards through twenty-four spaces. Accordingly all sec- 

 tions of the partition are raised to their upper limits except 

 those from the nineteenth to the twenty-fifth which were 

 already at their upper limits at F and therefore simply stay 

 there. So we find the partition at the time G in exactly the 

 same position in which it was at A ; and we must find it again 

 in the same position since now another period of stirrup move- 

 ment begins, exactly like the period just discussed. We now 

 have to read off the tones heard and their intensities in the 

 same manner as we did this before. The result is that we must 

 expect to hear the three tones 3, 2, and 1 in the relative inten- 

 sities three, sixteen, and eleven. 



