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Luff tension will have some bearing on the depth of the draft, but outhaul tension and mast bend will have a much bigger impact.
A slight aside - use a knotmeter to verify speed changes. It will show an immediate response, the GPS shows an average speed between fixes.
Also - if you do re-cut your sail, go with a loose footed main; there will no friction, other than the outhaul car.
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