I agree. Once you start having -3dB points above 80hz, you start getting into territory where you’re asking a sub to play frequencies above what it was designed to do. The other issue, is that speakers that small generally have a good bit of distortion at anything other than low levels in small rooms, that said, woofer size isn’t always an indicator of ability to perform at high spl, an 8” pro woofer can have a sensitivity of 93dB or greater, and be able to reach 120dB @1m, while an 8” hifi woofer could be as low as 83dB, and go up in smoke at 120dB, not even considering distortion.
Materials have an effect too. A polypropylene woofer has inherently lossy damping, which causes movement that might otherwise be transformed into sound to be wasted as heat, while an aluminum cone of similar weight would be much more rigid, and therefore significantly less loss into the surrounding cone.
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