Moog Etherwave repair and acquiring variable inductor or make modern replacement

Hello, what a great place this website is, I've been reading threads about repair and am already learning a lot of new stuff! The reason I ended up on this website is that yesterday a Moog Etherwave (rev H) found it's way onto my workbench for a tuning and service job. I have been playing with making simple electronics for music and art installations and never really had to work with inductors. What I found was that one of the variable inductors was broken, or well, the ferrite core was shattered and what I gathered so far is that it is part of the volume oscillator circuit. According to a schematic I found this part, L11, is a 47uH variable inductor and what I read on this forum was that replacements were last found somewhere in 2009. And I also read that some people make it them selves? I have been gathering old, broken, radio circuit boards and started gathering similar parts to have a go at it with what I can find but I was hoping someone here would have a solution for this issue.

Hahaha, any chance you recently got rid of that at a music store in Georgia? I just picked one up with the exact same issue, and I'm having the exact same experience you're describing. I'm trying to find replacement SLOT TEN-5-10's and really struggling. I suppose if anyone here snagged some up in bulk and has any up for grabs let us know! 

I found someone on ebay selling some SLOT TEN-5-11's and looking at this Coilcraft data sheet I'm hoping they have enough overlap in performance to get the volume circuit into the right range. I might also experiment with some fixed value inductors to see if I can at least get the thing working, I'll post an update here if I have any decent results with either approach.

As an after note, I'm kicking myself for hamfistedly removing the component from the PCB after realizing it was broken, I think in our case there is a world where the ferrite core can be backed out and replaced with a core from a similar component in the coilcraft lineup (not necessarily a hard-to-find TEN-5-10, could maybe work with TEN-3-14 core). I wound up pulling the casing off and breaking the magnetic jacket surrounding the coil in the process, so hopefully others can learn from my particular mistake. I should have been more gentle and thought a little bit more before jumping in with a soldering iron and some pliers. Lesson learned!