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Q: What words sound alike but have few letters in common?

A:
Longest (nearly) disjoint homophones:

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 shofar, chauffeur (3/15)
 ceresin, Saracen (2/14)
 cotter, Kadir (1/11)
 cough, Kaf (0/8)
 kernel, colonel (3/13)
 choir, quire (2/10)
 firs, furze (2/9)
 peak, pique (1/9)
 ate, eight (1/8)
 picks, pyx (1/8)
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Other shorter but completely disjoint homophones:

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 Ab	of
 ay	eh
 I	eye
 haut	owe
 fou	phew
 gs	jeez
 cay	k
 k	quai
 k	quay
 chi	key
 chi	quay
 cue	q
 c	sea
 c	see
 c	si
 cee	si
 a	ugh
 aah	of
 of	ugh
 have	of
 ewe	yo	u (3 disjoint homophones)
 ewe	you
 phew	u
 phew	you
 u	yew
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               *
Unless noted otherwise, all words occur in Webster's Third New International
Dictionary, Merriam-Webster, Springfield, MA, 1961.
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