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Re: The paper can't be that good and here's why...

Hang in there, mfc. Did you know that many musical instruments are designed to minimize 7th and higher order harmonics? From 'Science & Music', Sir James Jeans , 1937, Dover reprint 1968. Get it used if you can.
p 91 "In the piano the wire is struck with a hammer covered with soft felt. The felt prolongs the duration of the impact, so that, by the time that the hammer finally breaks its contact with the string, a substantial length of the string has already been set in motion. this reduces the energy which goes into the higher harmonics, and so avoids the harsh jangle of sound ... As we have seen that discord begins with the seventh harmonic, the hammer should be sufficiently felted to reduce the seventh and higher discordant harmonics (ninth, eleventh,etc) to small proportions."
p92 "Even if the hammer were perfectly hard, the seventh harmonic could be eliminated entirely by allowing the hammer to strike the string at a point a seventh of its length from one end, this being a node for the vibration in question. ..."
See how higher order vibrations are addressed, in musical instruments? Thanks SE for getting me back to my books, to look this up.


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