winding a coil with taps and planning the build

I needed a core so I saved a paper towel core from the trash bin. I "varnished" it with some nitrocellulose based nail polish overcoat. Then gave it 3 or 4 spiral wraps with scotch tape.

I wound the coil with #32 magnetic wire with 20 turns between taps. My tester gives the following readings.
33uh
106uh
205uh
327uh
426uh
560uh
705uh
873uh
1022uh
I did a new board Mr Dave style today.

I used strapping material (banding material) for the armatures. The left is two pieces and the right one is a single strip. They both work but the left one is 'smoother'. I'll have to redo the right one.
The plan I'm forming is to use the left one with a coil like the one I wound last night and the right one selects a band by selecting a fixed capacitor.
1000pfd
900pfd
800pfd
700pfd
500pfd
400pfd
200pfd
100pfd
50pfd
10pfd
Then use a small variable cap for the band spread.

Again a tip of the hat to Mr Dave for suggesting the fixture screws.