In the United States, as a unit of liquid capacity the dash is now mostly met in recipes for mixed drinks. It is usually taken as 1/8 teaspoon, but according to Trader Vic (Victor Bergeron)¹, the famous saloonkeeper, in mixed drinks a dash is 1/8 teaspoon when applied to bitters; otherwise (for sugar syrup, orgeat, grenadine, lemon juice, etc.) a dash is ¼ U.S. fluid ounce = 1½ teaspoons.
1.
Trader Vic [Victor Jules Bergeron].
Shirley Sarvis, ed.
Trader Vic's Bartender's Guide, revised.
Garden City, New York: Doubleday, 1972.
Page 27.
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Last revised: 4 February 2002.