2. The idiophones in gamelan ensembles occur in pairs. The longest bar on a particular gamelan pair has a fundamental frequency (pitch) of 100Hz. Call this gamelan A. (a) (3 points) What are two choices for the fundamental of the corresponding bar in the other instrument (gamelan B) in the pair so that when struck simultaneously, there are beats at 5 Hz? (b) (2 points) Consider now a gamelan pair sounding at about twice the pitch of the first pair. Give one set of possible fundamental frequencies of the bars in this pair. Explain your answer briefly. 1 of 3 (c) (1 point) Explain, in terms of the overtones of idiophones (such as xylophones etc.) why the shorter bar might not be tuned at twice the pitch of the sound made by the longer bar.