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idg. pasto „fest” >- dt. fast,
- dt. fasten >dt. Fastnacht ;
- dt. fest >engl. fast ;
Disclaimer:
The arrow ">" does not always mean an etymological derivation.
Sometimes it may be just a conjecture (even a refuted one), or an error.
Take the tree as a suggestion for lookup, e.g. try http://etymonline.com/index.php?search=fastSimilar words
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