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How to merge two functions to find any result in between those two functions

I am interested in the functions which describe harmonics of an open or closed system, specifically in air for example if a system has one end opened then the fundamental frequency is expressed as ((2*X)-1)*C/(L*4) if both ends are closed then we use (X*C/(L*2)) where is is 1,2,3,4 (one being fundamental and two etc are harmonics) C is speed of sound and L, the effective length in meters. So is it possible to merge the two in order to express for example a partially closed system?
Question asked by: nickthesaf

Asked on: 01 Jan 2013

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