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V. § 61.] VIBRATIONFORMS FOR AN OPEN PIPE. 125
of the pipe make up one whole segment. The numbers of segments into which the aircolumn is divided are, therefore, in (A), 1 ; in (B), 2 ; in (C), 3 ; in (D), 4. The same law would obviously hold for higher subdivisions. Hence, in the case of an open pipe, the rates of all the possible modes of segmental 



vibration are as the numbers 1, 2, 3, 4, 5, &c. The notes obtainable from such a pipe are, therefore, the complete series of partialtones belonging to one and the same clang.
61. If the slowest forms of vibration, shown at (A) in Figs. 39 and 40, are compared with each other, it will be at once seen that the vibrating segment of Fig. 39 is exactly twice as long as that of Fig. 40. 
