I had two GH1330 lathes from Warco in 2004, and they both had the same problem. The first 1330 was the worst, and the pattern of rings could be felt with the fingers, the replacement new GH1330 lathe, that I still have, also had the pattern but it was a little fainter.
The pattern of rings is more visible on metals such as Alluminium Alloy, brass and bronze, and is produced when the fine feed is engaged which is driven by a separate power feed shaft. On my 1330 lathe the pitch of the rings was equal to the distance the saddle travels for every revolution of the feed shaft. It doesn't matter what feed rate is selected, the saddle still travels the same distance per revolution of the feed shaft, but the pattern was only visible with a fine feedrate.
After much investigation and experimenting I traced it to the fine feed worm moving slightly in and out of mesh with the bronze worm wheel at the back of the apron. The bore of the steel worm gear was slightly eccentric to its teeth, and the feed shaft was a sloppy fit in the bores of the casting that support it either side of the worm gear. The worm gear is also only supported by the feed shaft, so with the feed shaft rolling about in the oversize bores of the casting the eccentricity was made even worse.
I cured it by boring out the casting and fitting needle roller bearings, and made a steel sleeve to carry the worm gear and support it in the needle bearings independently of the feedshaft. I also mounted the steel worm gear on an arbor and shaved the gear teeth slightly until they were concentric with its bore. I had to make a smaller diameter power feed shaft to fit through the 15mm bore of the sleeve that I made to support the worm gear.
I may have gone a bit far, and it was a lot of work, but it cured the problem. Yours may require a much simpler fix, hopefully.
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