I have been reading only part of the discussion on long. modes, so I may be repeating what others have already said. A simple experiment which shows a relationship between Long. modes and Trans. modes is to take a string which has a decided Long. mode whistle and slightly detune the transverse mode and hear the increase or decrease of the peak as the transverse mode frequency changes with respect to its nearest longitudinal modes. In this respect primarily design does affect these relationships. I'm not sure how this may affect the aliquot lengths however. As I understand some of the work my brother Bob has done with Michael Wathen in Cincinnati, it is possible to pick up vibration in any segment of the string either longitudinally or transversally by the direction of the pickup. I'm copying this email to him to see if he has some definite experimental data to confirm whether or not one mode is causative of the other. Also he should be able to tell what is the relationship of the duplex part of a string and the longitudinal mode of the speaking length. If he has time, he will get back to me or to this list. That's neither a threat nor a promise. Jim Coleman, Sr.
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