I wonder if it would be possible to make the woofer box shorter but wider. One would have to take into account the compression volume, throat opening area, the cone flair rate could be the same, and the final mouth opening area. (Not sure if the terms are quite correct.)

I suppose it would also be possible to add wings to the box, so that it would be trapezoidal, but this would change the flair rate and mouth area. (I like the idea of making the box shorter better.)

Has any thought been given to this? Are these parameters crucial to the sound?

seven π-18 cornerhorn

But on the smaller cornerhorns with 15" woofers, the midhorn is a little wider.

seven π cornerhorn

I put the midhorn on my seven π speakers, and it really looks pretty good.

seven π cornerhorn, midrange horn close-up

I had originally hoped to make a smaller midhorn for the seven π speakers that wasn't as wide but two things made me change my mind. The first is that the midhorn really needed the size to get bottom end response. It's pushing it even with this larger size and they need boundary reinforcement. The second thing is that when I placed them on the seven π cabinet, they actually looked pretty good.