3 speed hubs - Shimano and Sturmey-A sprockets interchange?

JEASTWOO
JEASTWOO Posts: 24
edited January 2011 in The workshop
I'm setting up my old mountain bike for commuting with a 6 meter top gear on a three speed Shimano hub (love them). Calcs indicate I need a 17 tooth rear. There aren't so many choices on eBay for Shimano sprockets and I was wondering if Shimano and Sturmey-Archer sprockets are interchangeable.

Thanks James

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