Thanks to Funnel for this information.
If your DZ is giving a distorted sound like a badly warped record - but sounds fine in CD mode, then the odds are that its sensor needs replacement. This has happened to a few DZ owners (including me) - can be sorted under warranty (took 3 months in my case) but if you can't wait, or your DZ is out of warranty, here's a step-by-step guide to help you.
1. Shouldn't have to tell you this - but disconnect from mains first. Then flick out the little grey plugs from the LCD hub, and undo the Phillips screws beneath.

2. Lift up the LCD hub. The sensor, its PCB, and a bracket holding it in place (which has an earth connection for the LCD hub) are at 3 o' clock.

3. Tease out the ribbon cable from the sensor panel plate.

4. Pull the IDC connector from the LCD hub, preferably using tweezers. The LCD hub can now be taken off completely leaving you with room to get at the sensor.

5. Pull the IDC connector from the sensor PCB.

6. Now unscrew the earth plate bracket and the sensor PCB from the sensor panel plate.

7. Voila! Here's the little fella, face on, attached to its PCB. The sensor's the black bit; seen side-on (haven't shown this view here) it's 'C'-shaped with a groove in the middle, and it's only about a centimetre tall.

How does the sensor work? Well the DZ's slip plate assembly includes a transparent plastic ring etched with radial markings, attached underneath the platter. As the platter spins the ring's inner edge passes through the groove in the sensor, the markings interrupt the sensor's laser beam and this tells the unit exactly how fast the platter is moving; a microcomputer adjusts the sound accordingly. No wonder everything goes to shit when the sensor doesn't work properly. You can get a new one
here; I think the part number is REP3600AJ-S.