@westcoast, I am not sure, beyond your fixation on measurements, what you are trying to do here. Your placatory lecture by way of circumlocution is missing the point.
Lets look at the capacitor. We are talking audio here, not radio frequency. As an engineer I assume you know the difference. The ESR you mention is a non-issue so perhaps you need to educate yourself some more. The formula for capacitive reactance is: Xc = 1/ 2Pi.f.c This is a fact and as an engineer you know this, or should. There is no 'R' in the equation and therefore ESR is not a factor.
Go to some of the speaker gurus like Joe D'apallito, Vance Dickerson or Sigfried Linkwitz of Linkwitz/Riley fame. Not they nor any others take ESR into consideration, why would they? it's NOT in the formula.
You also throw out the resonant frequency of a cap. It will resonate mechanically, everything has a resonant frequency, but it will only resonate, electrically speaking, if in circuit with say an inductor, and behaves according to the parameters of the components and the results are well understood.
The series cap in a loudspeaker XO and assuming a first-order filter will create a 6dB attenuation slope dependent upon its value. Take 3 very different caps, paper-in-oil cap, teflon film and a bipolar electrolytic of same value and the plots will be exactly the same, meaning... they measure the same, but now have the audacity to actually listen. Yes to be clear have a listen which is not an unreasonable concept seeing as it's audio.
Your bloviating away about a recording studio and coffee breaks is not germane to the discussion. But cheer up old chap, old engineer, you have been promoted to the top of my ignore list.
Lets look at the capacitor. We are talking audio here, not radio frequency. As an engineer I assume you know the difference. The ESR you mention is a non-issue so perhaps you need to educate yourself some more. The formula for capacitive reactance is: Xc = 1/ 2Pi.f.c This is a fact and as an engineer you know this, or should. There is no 'R' in the equation and therefore ESR is not a factor.
Go to some of the speaker gurus like Joe D'apallito, Vance Dickerson or Sigfried Linkwitz of Linkwitz/Riley fame. Not they nor any others take ESR into consideration, why would they? it's NOT in the formula.
You also throw out the resonant frequency of a cap. It will resonate mechanically, everything has a resonant frequency, but it will only resonate, electrically speaking, if in circuit with say an inductor, and behaves according to the parameters of the components and the results are well understood.
The series cap in a loudspeaker XO and assuming a first-order filter will create a 6dB attenuation slope dependent upon its value. Take 3 very different caps, paper-in-oil cap, teflon film and a bipolar electrolytic of same value and the plots will be exactly the same, meaning... they measure the same, but now have the audacity to actually listen. Yes to be clear have a listen which is not an unreasonable concept seeing as it's audio.
Your bloviating away about a recording studio and coffee breaks is not germane to the discussion. But cheer up old chap, old engineer, you have been promoted to the top of my ignore list.