Capacitor shifts Tweeter phase 90 degrees one way.
for frequencies approaching 0,
Inductor shifts Woofer phase 90 degrees the other way.
for frequencies approaching infinity.
If the cut-off frequencies are the same, the phase difference between a first-order high-pass and a first-order low-pass is 90 degrees at all frequencies. That doesn't take into account things like driver response and differences in the distances of the acoustic centres of the drivers to the ears of the listener, though.
You may get 90 or -90, both could be useful.this is 180 degree phase shift. Isn't first order crossover off align the phase by only 90 degree?
Yes, so?for frequencies approaching 0,
for frequencies approaching infinity.
If the cut-off frequencies are the same, the phase difference between a first-order high-pass and a first-order low-pass is 90 degrees at all frequencies. That doesn't take into account things like driver response and differences in the distances of the acoustic centres of the drivers to the ears of the listener, though.
At crossover frequency shift is significant
Inverting tweeter phase when using these simple crossovers has been done for decades.
But if you think it is not worth it, don't.
In any case, my point is showing the OP that "there is an inductor hidden in plain view" which he didn't consider.
I would not take this too seriously
I wasn't! 😀
Minimalism has its attraction for me, but in this case I would regard it as Totem's USP.
Yes, so?
So the phase shift of the crossover is in itself no reason to swap the polarity of the tweeter. The phase shift of the crossover plus those of the loudspeakers and the different path lengths can be a very good reason to swap it, though.
The inductor in the schematic of post #1 doesn't appear to be hidden.