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This particular flavour of Tannoy (HPD) used foam surrounds rather than rubber. They deteriorate and need replacing every 15 or 20 years. The pair I bought had never been done. You can either replace the foam (just the gasket surround between the paper cone and frame) or replace the whole paper cone, surround and coil assembly - everything that moves basically. I opted for the latter for various reasons. Got the cones from Lockwood in north London, as far as I know the only place in the word still making them, and did it myself. Quite easy if you take your time.
tl:dr - if your own speakers have rubber surrounds they’re probably fine, if they’re foam and you can actually see holes or push your finger through them, re-foam them, or get Lockwood, AudioGold etc to do it.
1978 Cheviots in walnut. Re-coned, re-capped and refinished, plus a bit of internal bracing, tuning and lots of damping.