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Re: The most important question may be...

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You certainly make some good points Jim, thank you.
Regarding Toole's opinion: For example, his papers about integrating subs with the main speakers tell us to place several of them in various locations and distances from you around the home-theater/family room. This shows he cares more for obtaining a smooth amplitude response (which is better than an irregular response of course), than he does transient response, which is one thing that time coherence always improves, by definition.
I have to say that in your #2 above, your second sentence is a common viewpoint that is simply wrong. What you wrote is actually true of high-order crossovers, not of first-order crossovers. Because of the way first-order crossovers change the phase (the time delay) as they crossover, the result is a CONSTANT time delay at ALL frequencies between the two drivers. This means then that there is no RELATIVE time delay occurring between those two drivers. Higher-order crossovers produce time delays between the two drivers that is always changing at every frequency, and thus can be 'right' at only one frequency. This is shown in the math of crossover filters. I can point to the 'filter transfer function' equations in an electrical engineering book, but can't do the derivative (calculus) that shows the time-delay changing with frequency!! But this is called a 'non-constant group delay.'
Can you clarify what you mean by your #3?


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