Hello QMuse,
http://linea-research.co.uk/wp-content/uploads/LR Download Assets/Tech Docs/CrossoverFilters White Paper -C.pdf
and it is well known in many text books that with
12 dB/Oct BW or LR filter, the phase rotation at the cross-point is 180 degree. So if you use series of 12dB/Oct filerts,
e.g. series of 12dB/Oct filters to divide the 15 Hz - 25 kHz into five regions (including 15 Hz low-cut), the theoretical phase status in each of the five regions, in general, are;
(SL) reverse - (LO) normal - (MD) reverse - (HI) normal - (SH) reverse
In the User's Manual of the expensive ACCUPHASE DF-65 Digital Crossover, sorry I cannot find the English Manual now, the basics of these phase rotation and filter type/slope are well described. You may easily find the similar description in many places.....please google it.
This is the very common reason for my
"invert" check at
SL and
MD regions. With these sets in the EKIO configuration, I can achieve exactly the same phase (3D) perspectives throughout 15 Hz - 20 kHz just like without digital crossover EKIO, my reference sound.
YAMAHA intentionally inverted to TW, and I can easily understand it by listening to only the TW stereo sound using the phase check track of the
"Super Audio Check CD"; YAMAHA selected the inverted connection through their very careful and intensive listening and measurement trials, they said. I intensively tested and measured FQ response curve and phase check for ST in normal or inverted connection, and finally decided to invert to ST...
I contacted several times with YAMAHA people, some of them already retired, for the reasons of their choice of 12 dB/Oct LC-network in NS-1000 as well as for the parts (capacitors and coils) selections, and their common reply was; "just mainly for the simplicity of the possible phase rotation issues and rather smooth-flat Fq responses, and of course also for the costs of LC parts." After my intensive discussion with them, they also suggested and recommended the possible "first-to-try" EKIO crossover configurations, like the one I am showing you.
Yes, there are considerable overlap in sound of WO, SQ and TW with 12 dB/Oct filters, but these are one of the very nice "characteristics" of still amazingly wonderful NS-1000, which I would like to preserve in my multi-channel system. I just trust YAMAHA for the WO, SQ, TW 3D alignment, and have no intention to put relative delay between them, at least at this timing and stage of my project.
If you use steeper slope filters, like 24, 36, 48, 96 dB/Oct, and/or mixture of these, then the phase rotation becomes much complicated. You may find many text books on these, as you may already aware.
BTW, within sub-woofer YAMAHA YST-SW1000, on the other hand, the built-in high-cut filter is rather heavy duty 24 dB/Oct type; it should be OK since YST-SW1000 has phase inversion switch enables "normal" or "reverse" depending on the room acoustics and/or the distance between the listening position and SW.
Yes, I trust you that Linkwitz did a lot of measurements, like YAMAHA people did. I am not, however, an expert and knowledgeable guy for such measurements, and at least in my current project at present, I feel it would be well enough to compare with my reference sound which is still very nice.
Maybe,
after fully establish my system with possible multi-8-channel amplifier (still not yet decided!), I will get back to you on phase and delay issues for your further suggestions, if needed. I will of course also "measure" the established system; FQ response, REW-Wavelet, phase rotations,
etc.