The concept of using a CD4007 for the VC part of a VCF is one I first saw at the Experimental Anonymous archives- specifically, this 4007-based VCF. My attempts with that schematic were unsuccessful, so I started looking for more information on the 4007 itself as a variable resistor.
Eventually my search led me to this filter by Synthmonger. Though the filter in that shematic does look interesting, it’s not what I’m after right now- so I decided to try using the voltage control scheme with a different filter. What I would really like at this point is an MS-20-style SVF, so I’ve decided to try pairing it with something like the first filter shown in this schematic from the EA archives.
I put a 10k resistor in place of the resonance vactrol (note that the pair of resistors here controls the gain of the amplifier block- this is worth playing with I think), and used a 100k pot in place of the 1k resistor between the filter output and the BP input- I tried it the other way around first, but this way worked better. As you may notice, this makes the filter sort of a combination of the two from the above-linked schematic. With this configuration, the BPF works quite well, but not the LP or HP. Here’s an audio example, first showing the BPF, then the LPF, then back to the BPF- you’ll be able to spot the difference:
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Thinking that input overdrive could be an issue, I’ve tried reducing the levels using voltage dividers, but to no avail. However, I have also noticed that the choice of op amp has a definite impact on the sound, so I’ve tried several- TL072, RC4560, RC4580, and MC1458- which are all the choices I currently have in dual op amps (I’m using a dual for easy output buffering). The 1458 provides the best response of the bunch, and is the one you hear in the above recording. I have other choices in different packages (single and quad op amps), so I’ll be trying those as well- they just aren’t as easy to swap out.
Here’s the schematic of what’s on the breadboard as of the time of the above recording:

Note that I did also try powering the op amp from +/-9V, and though it did sound better, it wasn’t a major difference. I will try it in future tests as well, however, just in case.
If different op amps don’t end up doing the trick, I will probably try a different filter topology. The National Semiconductor application note A Basic Intro to Filters has several basic ideas to choose from- using that and some other filter schematics as a reference, I’m sure something good will eventually come out of this line of research.