Tech/maintenance Math Help Needed

You folks are amazing. I am going to see if I can put that into Excel so I can calculate the optimum octave vent diameters for any given note. My purpose would be to determine how different that is from the one's generally used on saxophones where the octave vents are in the ideal locations for F and high B.

The issue is on a tenor saxophone where the body octave doesn't sufficiently disrupt the 1st mode (fundamental) of G so that when G2 is played loudly one hears a octave multiphonic. My thinking is that if I can calculate the optimum opening for an octave vent in the ideal position for the note G, it will give a clue as to whether the octave vent needs to be made smaller or larger.
 
Unfortunately I'm not familiar with Benade's book or the formula quoted. However, there may be a problem with the way the formula has been transcribed. Is the 2 in the lefthand side of the formula actually a 2 or is it an indication that (b/a) is squared? If it's the former, then BigMartin's answer is correct. However, if it's the latter then b = a x square root of (3.253 x te/L)
Oh dear, I'm wrong! I overlooked the fact that b is a component of te - the danged formula is a quadratic after all1
 

Similar threads... or are they? Maybe not but they could be worth reading anyway 😀

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