I have a Harley Benton SC-550 (Les Paul style) with a strange intonation issue which affects the top 3 (unwound) strings at frets 20 & 21 only. The pitch at fret 20 is a whole semitone sharp, and the pitch at fret 21 is exactly the same as at fret 20 (i.e. there is no change in pitch when moving from fret 20 to 21).
This applies only to the top 3 strings (G,B,E), all of which are unwound. The bottom 3 strings are fine. The frets are all in very condition, with very little wear.
I've tried adjusting the intonation of the top 3 strings, turning a screwdriver ant-clockwise to move the bridge saddles further away from the neck, but it has made no difference.
Any idea what the problem might be, and how to fix it?