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Thanks for the replies and helpful comments may your day be filled with such helpful people.
From the ARRL Antenna Book. "The resonant length of any one dipole in the presence of the others is not the same as for a dipole by itself due to interaction and attempts to optimize all four lengths can be frustrating procedure. The problem is compounded because the optimum tuning changes in a different antenna environment, so what works for one amateur may not work for another."
Again I have no problem with fan dipoles, I simple had a idea and wondered if you all would think it would work, the consensus seems to be no due to the coils. I have since found out that MacTenna made one.
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We didn't say it wouldn't work just that it was a lot of effort for not much improvement. I don't doubt that you could eventually make it work but I think it would be a frustrating project. Now if you added a couple of RF-sensing switches that would automatically close the appropriate relays based on the signal transmitted you'd have something truly unique ;)
Or, to take your idea one step further, the quarter wave length on 80 meters is 8.35' different at 4.000 mHz and 3.5 mHz (band edges). Twice that on 160 meters. I had to add some stubs to mine if I wanted to work down in the low CW portion since it was cut for the phone portion of the band and the SWR curve is quite sharp. It would have been nice to be able to close a couple of relays and have that done for me.
For what it's worth I didn't install mine as a fan dipole, the two dipoles were at 90 degrees to each other. As I recall (and it's been over 40 years) I didn't have to compensate for having two in proximity to each other, both of them were cut to to resonant length.