I tried a quick and easy experiment with a Ropez/Ross phaser last night and was pleased with the outcome. The boards that Francisco Pena laid out and sells for that phaser make it easy to implement, but it can be applied to practically any phaser you can think of.
When it comes to phasing, the result is a product of the sum total of all phase-shift applied. So, 4 stages of phase shift provide up to a maximum of 90-degrees of phase shift per stage at any given frequency, which totals a maximum of 360 degrees of phase shift. Essentially, you get one notch produced per 180 degrees of total phase shift, so 360 gets you two swept notches.
Since the sum total phase shift is what matters, not all the stages have to sweep. certainly most of them need to, or else you wouldn't hear any swirl, but they don't ALL need to. A great many commercial phasers make use of this principle, and include some fixed stages on top of the swept stages. Probably the most commonly encountered example is the venerable MXR Phase 100, which uses 6 LDR-based swept phase-shift stages, but adds 4 more fixed stages on top of that for a total of 10 stages, producing up to 5 notches ("up to" because not all notches are audible or within the passband at all points in the sweep). Boss also uses the addition of some fixed stages to spruce up some of their phasers.
So, last night I decided to throw in 2 stages of fixed allpass/phase-shift to this Ropez, via a small daughter board that could be easily assembled in a postage-stamp, sized piece of perfboard, and hot-glued to the side of the chassis. I used what has become almost standard fare for such things: a 4558, 10k feedback resistors in each stage, 10k to the inverting input, .01uf to the noninverting input, and 10k to Vb. That's a total of one 8-pin DIP, 6 resistors, and 2 capacitors. You've seen this a million times.
The Ropez (at least the last iteration of it) has a number of pads aimed at integrating another quartet of swept allpass stages to make an über-phaser with 8 swept stages. On the diagram, two of these pads are labelled X and Y and are for inserting the additional 4 stages that Francisco made a daughterboard layout for. Cut the path between these two pads, run X to the input of one of the fixed stages, run the output of the second back to Y, connect your V+, gnd, and Vb, and away you go. You now have 6 stages, 4 swept, and 2 fixed. The same logic can be applied to a Small Stone, Phase 90, or whatever. The regeneration works exactly as before.
How does it sound? A little richer, and to my ears a little more pleasing at the top of the sweep. Not surprising since the added phase-shift really only starts to kick in above 1500hz or thereabouts. I tried it out with the piezo bridge pickup on my Parker this morning, and it sounds great for that. I like the vibrato produced when the dry is cancelled a little better too. On this particular phaser, I have a switch for going from phaser to phasefilter (two stages are converted from allpass to lowpass), and am pleased to report that the mod does not interfere with the pleasing sound of a phasefilter.
While it might be a little tricky doing this to a P90 installed in a 1590B chassis, it may well be possible to build it onto a small, low-profile board it you are handy with surface-mount op-amps and 1/8w resistors. It's one of those things that you can build on a small daughter-board and try out on whatever phaser you have handy. If you like it, keep it, and if you don't, it's no big deal to put things back the way they were.
But on the whole, definitely worth trying.