help with tweeter compensation

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I have a ferrofluid dome tweeter branded "Tave" with the attached frequency response. It will be crossed over at 5KHz with an active LR 24dB/Octave X-over. Any suggestion on how i could compensate the actucal frequency response (actively preferably)

Some of the tweeter data

Fres:1346 Hz
Qts:2.590
Qms:12.882
Qes:3.241
Inductance:0.046mH
L1 inductance:0.042mH
Series resistance:0.659Ohm
DC resistance:4.39Ohm

P:s due to my location its hard and extremely expensive to get better tweeters.

Thanks
 

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First I would try with a passive 1st order filter high pass filter at around 4½KHz, that will make the frequency response almost completely linear from 1½KHz to the massive spike at 12Khz. Not sure what to do about that though.
 
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