292 CARL W. BOCK 



between any four beats and between every four beats measure 

 3 mm. Between four elements or beats, there can be inserted 2 

 beats and three of the smaller intervals that normally occur 

 between any two successive elements of a group.* Conse- 

 quently the above intervals is precisely long enough to permit the 

 interpolation of 2 beats given in the same tempo as that of 

 the other beats of this group; the interpolation made in the 

 above figure corresponds to a 46 group and is in accord with all 

 preceding figures as well as with the prediction made with 

 respect to the composition of the 46 group. Consider figure 4. 



FIG. 4 



Figure 4 is similar to figure 3 with the exception that a 46 

 group and a 22 group are concerned plus a small interval with 

 precisely the same implications as above; two beats and only two 

 can be interpolated, thus making a total of 70 beats which 

 agrees with the predictions made in regard to the composition 

 of the 70 group. Consider figure 5. 



Figure 5 is an example of the same kind as the preceding. The 

 small interval permits the interpolation of a 2 group given in 

 the tempo of the other beats but there is a significant difference 

 between the intervals, which significance attaches also to all the 

 other intervals of the same kind already mentioned and to be 

 given. Relatively the intervals are all equivalent in that they 

 permit the interpolation of exactly 2 beats, yet absolutely 

 the intervals are not equivalent because they have different 

 durations. 



