My Wilson Audio CUBS have the 1" inverted titanium-coated tweeters. When I first got them, they sounded: "hot" "tiresome" "shrilly".* They were revealing what my system was producing. The cause was dirty power - that injected noise into the electronics. Garbage In/Garbage Out. Now, these same speakers sound sublime. The solution: clean power, quality power supplies (for the source components) and quality cabling. Everybody’s system and electricity is different.
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Even soft dome tweeters and/or ribbons will reproduce distortion (noise) if it’s in the system. Generally speaking, soft dome tweeters will require less coddling over the long run. Titanium-coated may offer a bit more resolution. But there are many variables involved.
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Symptoms of Un-Clean power
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*Many of those negative comments were made before power conditioners stared becoming more ubiquitous.