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Dr. Toole's - A Rational Approach To Calibrations

If it is in the on-axis and off-axis plots, it is a resonance and cannot be remedied by EQ
That is incorrect. That is an example of a measurement that can be fixed by EQ.

In-room measurements can be EQed below the room-transition frequency. However, above the room-transition frequency any EQ needs to be based on anechoic measurements.

What cannot be fixed with EQ is a directivity mismatch. This is where you see one curve on-axis and a different curve at the same frequency off-axis (or vice versa).
 
They should not be "corrected". They can be equalized as you like, usually by dialing in a tilt.

Correction implies fixing nulls or peaks in a steady state response according to some target.

Reasons are to do with how our hearing works and how rooms work. It's all in Toole's book, but takes some thinking.
When I 1st tried Dirac 4 years ago or so I didn't like it with my not so good measuring core 59's. Then a few weeks ago I fired Dirac live 3 back up & curtained it off @ 400hz & tilted from 700hz @ 1.5db up & was amazed. The full range correction I had used 4 years ago indeed didn't sound right at all. The simple settings I'm using now does, well the best these have sounded so far at least. The Dirac screen shot doesn't show the tilt as I'm using my Elysia to do that for now.
 

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