Abstract
In this paper, a method of harmonizing both the second partial F_2 and the third partial F_3 of the cantilever vibration with the fundamental F_1 is proposed, in order to improve the musical sound of a cantilever-electro-piano. The cantilever is loaded with a small mass m at Kl(fig. 4). The equations of the motion of the cantilever with a mass are set up as equations(1)〜(9), and the solutions are shown in Fig. 5. The conditions in which F_2 and F_3 are equal to integer multiples of F_1 are indicated in Fig. 7 and Table 1, the results of experiment in Table 2, and the figures of various kinds of the cantilever-electro-piano will considerably be improved with these new cantilevers.
