I have repaired many torn cones. The latest was a JBL 2206; torn from dust cover to edge of frame, including the surround.
I have used pieces of black tissue paper doped with soft fabric glue ( Aleene's Tacky Glue of Rosco FlexBond ). Rosco FlexBond* is a staple in theatre production for flats, background and stage props, as it maintains a
flexible adhesive bond to many materials.
I even out the tear edges, and start with a thinned mix ( w water and a drop of surfactant ) of the above adhesives.
The thinned adhesive mix allows pieces of tissue to to be shaped into the pleats in the cloth surround. Use a pin vise or dental picks.
Once the initial tear is covered, it is reinforced with additional strips ( as necessary ), with thicker ( less thinned ) glue. I usually use this opportunity to full dope the cone.
The measured change in impedance is usually a very small drop in Fs ( <.5Hz ) due to slight increase in cone mass. The cone is now water proof and stronger.
I don't use stiff/hard glues or varnish, and only flexible materials.
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