AFTERTASTE (see also FINISH, LENGTH) - a.k.a Farewell, Fairwell.
<br> Term used to describe the taste left in the mouth after swallowing the wine. Both character and length of the aftertaste are part of the total evaluation. May be harsh, hot, soft and lingering, short, smooth, tannic, or nonexistent.
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FINISH (see AFTERTASTE).
<br> As in "this wine has a (whatever) finish".
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The Wine Spectator:<br>
Aftertaste: The taste or flavors that linger in the mouth after the wine is tasted, spit or swallowed. The aftertaste or "finish" is the most important factor in judging a wine's character and quality. Great wines have rich, long, complex aftertastes.<br>
Finish: One key to judging a wine's quality is finish—a measure of the taste or flavors that linger in the mouth after the wine is tasted. Great wines have rich, long, complex finishes.<br>
http://www.winespectator.com/glossary/index/id/GL_aftertaste <br>
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Usually in wine reviews you see "finish" more often because "aftertaste" has a negative connotation. But aftertaste is the terminus technicus.