How Much Are You Missing From 20khz to 45khz?

No. It is a big but inaudible difference.

My dog sometimes complains about it !!!!

The issue is phase shift. That is why bandwidth is nice.

The less phase shift, the better the imaging.

Phase shift is caused by group delays that in turn are caused by a rolloff in the equipment. They can have artifacts to 10x higher than the low frequency rolloff, and 10X lower than the high frequency rolloff.

This is less of a problem in speakers than electronics, but its still an issue.

Ralph, let me see if I understand what you're saying. A speaker which has a flat FR out to 45K Hz will have less (?) phase shift in the audio range than speakers with a lower frequency bandwidth. This is a good thing.

If I've got that right, I will return to an old saw -- I've seen the impedance and phase angle plots for my speakers. The graphs look like a roller coaster. Even still, the speaker sound fine and imaging is very good. Can you clarify what I think I understand? Thanks