The exotic tweeter materials craze is odd. I hope nobody figures out how to reasonably manufacture Beryllium cones of any diameter.
Let's look at some exotic materials in tweeters...
For instance some Scan Speak tweeters:
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Perhaps diamond?
Some Seas tweeters.
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I look at the obsession with exotic materials as a challenge to make a good speaker
despite the exotic materials, not because of them...
Some of the worst commercial speakers I have heard have Be tweeters, although I tend to think they are voiced obnoxiously bright because the customer is going to expect the tweeter to shout out.
I still think paper woofers look fantastic, and sound great too:
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So many engineering problems can and be solved in the driver with paper.
Exotic materials mostly require additional effort and approaches to deal with the problems they bring, like ultra-light and stiff magnesium:
FFLOTSAM (Fabricated From LeftOver Things Studio Active Monitor) Active DSP speakers, for testing a few ideas I had some stuff lying around; a few random Baltic Birch-ply panels, some countertop material, a few cans of partially used brown spray paint, and some not-too clumpy spar varnish (that...
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I don't believe there is a best materials for speaker cones. If there is one, it's probably paper.