Etymology
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sixteenth (adj., n.)

"next in order after the fifteenth; an ordinal numeral; being one of sixteen equal parts into which a whole is regarded as divided;" early 13c., from sixteen + -th (1); replacing sixtethe, sixteothe, forms based on Old English syxteoða. Cf Old Frisian sextinda, Middle Dutch sestiende, German sechzehnte, Old Norse sextandi. Musical sixteenth note is from 1861.

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Definitions of sixteenth
1
sixteenth (n.)
position 16 in a countable series of things;
sixteenth (n.)
one part in sixteen equal parts;
Synonyms: one-sixteenth / sixteenth part
2
sixteenth (adj.)
coming next after the fifteenth in position;
Synonyms: th
From wordnet.princeton.edu