[quote author="PRR"]> the polarity is a function of frequency and amount of tilt, I think.
For small tilts (which is what you want), the phase is zero (OK, 180) at both ends, and bumps up/down around 900Hz by an amount that is related to slope: approaching 90 degrees at steep slope but much less for gentle slopes.
And if the source or mix needs more than a hint of slope, we are fixing problems (or creating effects) that go beyond small phase shift issues.
I still think if you "need" anything like the +/-6dB of the Williamson/Watling knob, then you have a problem that needs more than "tilt". Tilt is useful for the 1dB/Octave slopes that sneak into the midrange on long lines, wrong-EQ tape, mellow mikes, sloppy disc-cutting, and other incidental losses. Most of these will need an additional narrow bump at the band-extreme, but that slant in the middle is hard to fix with narrow EQs.[/quote]
Yeah, I took the website writer at his word but suspected that you couldn't get that much shift going away from center with that simple a topology. Considered as an end-to-end difference I suppose the statement of 180 is correct.
I don't know what the app would be, but the design challenge of a variable-slope tilt with phase correction is still intriguing. I know one can make a fixed-phase difference network with a bunch of stagger-tuned allpass sections, developed for use in SSB modulators. But the net delay through a given leg is substantial, which could create its own set of problems in a system.
Take one of those and use it with a network with the low-freq-limited integrator or band-limited differentiator, with the other material going through the other path of the shifter, maybe.