Is it possible to cover the whole spectrum, high SPL, low distortion with a 2-way?

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That small tweeter horn most probably disturbs the response of the big horns.
The on axis shading and reflection "disturbances" back into the throat the tweeter horn causes certainly are compromises, but with a "beamy" mid horn like that, there are a lot of compromises to choose from.

The big horn's coverage at 5kHz (likely where the tweeter is crossed in) is only about half as wide as at 1kHz.

At 5kHz, just 27 degrees off axis, response is around 9 dB down-about half as loud as the on axis response.

Art
 

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The on axis shading and reflection "disturbances" back into the throat the tweeter horn causes certainly are compromises, but with a "beamy" mid horn like that, there are a lot of compromises to choose from.

The big horn's coverage at 5kHz (likely where the tweeter is crossed in) is only about half as wide as at 1kHz.

At 5kHz, just 27 degrees off axis, response is around 9 dB down-about half as loud as the on axis response.

Art

It is so boring that everyone only looks at the DI index as the only true metric.

Once you get the chance to listen to one of the old WE12a/WE13a horns do it! There are rare occasions with Silbatone presenting such horns. The sound traveling meters through the snail horn. Just listen to this! I am quite sure that you will never talk again about DI index as an important factor.

These simulation is the result of a design study for camplos very extreme requirements about loading to the lowest octave. I would say that 54 degrees coverage is not so bad.

Show us a better simulation for a horn that loads so low and please show us proper observation fields for a simulation as free standing horn allowing edge diffraction.