I finally got the diode sine shaper circuit working the way I like.
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Any further developments will employ the Flangelocious LFO/clock chip from Electric Druid. That chip will replace the MN3102 and everything in the bottom half of the schematic. The only extra part it requires is a +5V reg. Credit where credit is due, it was some design notes on the Flangelicious page that set me on the right path for tuning the sine shaper above. Turns out that a sinewave is not exactly what we want. What we want is a "bent triangle" wave. Notice that the waveform below does not really flatten out at the top and bottom like a sinewave does. We don't want the LFO sweep to stall at the extremes, which is what happens with a sinewave LFO. Backing off on the shape trim makes the waveform a little more pointed at the top and bottom.
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The shape trim lets us fine tune the "pointiness" of the waveform and compensate for variations in diode Vf. The range trim lets us maximize the sweep range. The waveform above was measured at pin 3 of the RANGE pot. This is the largest control signal that the clock VCO can accommodate. As I mentioned in an earlier post, U4 can be a TL072. The only downside of using a TL072 is the amplitude of the waveform above will about be 2V to 3V smaller because the TL072 output cannot swing to the rails. There is still plenty of sweep range available. The only trimmers that are critical are the blend trim and color trim. The others could be hardwired with only slightly diminished performance.
I should add that this thing has a HUGE sweep range, much more than commercial flangers. At the slowest speed, approx. 0.011Hz, and a high range setting we get a nice chorusing effect. For flanger effects, I turn the RATE up and usually set the RANGE below 10:00. I might try a log-taper pot there. The waveform above is max LFO speed. I had to use a stopwatch to measure the slowest speed because my 'scope doesn't go that slow.