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Is there a decent rule of thumb about how this style of antenna scales with frequency?

I'd kinda like something like this that could do 2.4GHz, 850-950MHz and even down as low as 400MHz.

Would by uneducated guess that 2.4GHz antennas would be twice the size, 900MHz about 6 times the size, and 400MHz about 10 times the size?



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