Great, now I'm more confused. The inductors I have been looking at on Mouser are ferrite core inductors. Ferrite is magnetic, isn't it? Or are we just talking about a stronger magnetic core? What core material is in a linearity coil then?
What you describe is what my CRT is doing. The image is stretched a bit on the left, and squished on the right. At least I don't BELIEVE there is anything else damaged on the CRT board.
There is indeed a second "adjustable" coil, that is supposed to adjust with, but the core won't turn or move.
The really annoying thing is that I did have the top broken part when I got it, but it disappeared.
Ferrite cores have magnetic properties, specifically of permeability, so if you slip a ferrite core into a coil, it increases the coils's inductance. This is why your Width coil is adjustable so you can adjust the inductance of it, as a way to control the width.
A current in a coil creates a magnetic field (H field, units of Amps per meter) or magetizing force. It is converted to a B field (flux density in Teslas, units Webers per square meter) by any magnetic material placed inside the coil, the relation is B = UoUrH , where Uo is a constant of 4.Pi x 10^-7 and Ur is the relative permeability.
As an example a typical ferrite rod in a transistor radio has a Ur of around 125.
If you plot a B-H curve of some inductor with a ferrite or iron core, it is not linear, more of an S shape and it is split into a hysteresis loop. So you can push the magnetizing force to different places on the curve by applying more coil current..... or by adding a permanent magnet, thereby magnetizing a core. Just for one example, you can make a pulse transformer that will only respond to one polarity of an applied pulse if you use a magnetized core, because the core is already magnetically saturated high up onto the horizontal part of the B-H curve, by the permanent magnet. An even cleverer trick is to use a material like Alnico, and and an added high current coil, to magnetize it in each direction, so you can control if the transformer accepts a pulse or not. This was a method that very few people know about to make a shift register,without tubes or transistors prior to the dawn of digital electronics, but getting off topic.
The Liniearity coil also contains ferrite, but in addition contains a permanent magnet. This makes the ferrite core and inductance behave in a non linear manner, hence able to adjust the scan current asymmetrically, hence the scan linearity. Most of the modern coils were made fixed for any VDU's, with the magnet disc mounted on the coil top, earlier types had a magnet mounted beside the coil.
Most coils/inductors you see on Mouser are just ferrite cored inductors with no magnets, I have never looked on Mouser for a magnetic linearity coil, I doubt if there is one at Mouser.
As noted most of the Linearity coils on ebay are for Tube sets that have a different operating principle, and no magnet.
This is why I posted those ebay links to show you the coils with the magnets.
For any given VDU design, the linearity coil became a custom made fixed part for most manufacturers, not an off the shelf part. The coil inductance and the specific magnetic field applied to that by the permanent magnet has to be exactly correct. So to replace this with another type, ideally its an adjustable version.
(One reason on a width coil, especially the type with a hex hole in it, won't rotate, is a hairline crack on the long axis of the slug than can occur if a metal rather than plastic tool is used. If this has happened, as the tool rotates the slug expands and the cracked edges bind in the threads and it refuses to rotate. If this has happened there is a method to get it to rotate again for removal)
I found a picture online of the type of linearity coil that has a cylindrical shaped magnet next to the coil , which rotates so that the horizontal scan linearity can be manually adjusted:
https://electronics.stackexchange.co...weird-inductor
If you could get an adjustable linearity coil it would be almost certain you could get your linearity perfect. Or as I suggested add a magnet to the top of your broken coil and attempt to position it for best linearity. Most TV repair stores had defunct pcb's with these adjustable Lin coils on them, but it seems as time passes, and CRT technology became obsolete, these resources are less common.
This looks highly likely to solve your problem:
https://www.premmagnetics.com/mechan...-peak-maximum/
They come in different inductance and max current ranges, you may have to do some experimentation, but at least you will have an adjustable coil to work with.