Chosing the taper in transmission lines, mass loaded or not

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I've done quite a bit of searching and I haven't found any conclusive answers on this.

What are the advantages and disadvantages of the two kinds of taper (three counting straight)?
That is "normal" taper where the line get gradually smaller and horn like taper, most of the time terminated in a smaller opening or pipe-port.
Are there differences in efficiency versus killing mids and highs, and does the choice have anything to do with the Qts of the driver?
 
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